* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 120 additional inputs, on iter 1 have 136 / 256
* * * * [misc]points:  Computing exacts on every 7 of 120 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 120 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 120 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 68 additional inputs, on iter 2 have 188 / 256
* * * * [misc]points:  Computing exacts on every 4 of 68 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 68 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 68 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 38 additional inputs, on iter 3 have 218 / 256
* * * * [misc]points:  Computing exacts on every 2 of 38 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 38 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 20 additional inputs, on iter 4 have 236 / 256
* * * * [misc]points:  Computing exacts for 20 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 14 additional inputs, on iter 5 have 242 / 256
* * * * [misc]points:  Computing exacts for 14 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6 additional inputs, on iter 6 have 250 / 256
* * * * [misc]points:  Computing exacts for 6 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 7 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* v v) (- 3) 1)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1 2 1 2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* 3 (* v v)) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 (pow v 2)) into (* 3 (pow v 2))
* [misc]approximate:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2))
* [misc]approximate:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 3/8 (sqrt 2))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 9/32 (sqrt 2))) into (- (* 9/32 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 9/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 v) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 v)) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 v))))) into (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 (- v))) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 (- v)))))) into (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (sqrt 2))) 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 1))))) into (* 3/32 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log1p (expm1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 2 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (expm1 (log1p (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 3 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 4 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (log (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 5 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 6 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) (cbrt (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 7 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 8 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 9 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 10 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* 3 v) v)))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 11 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 12 / 89 ] simplifiying candidate #<alt (λ (v) (* (log1p (expm1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 13 / 89 ] simplifiying candidate #<alt (λ (v) (* (expm1 (log1p (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 14 / 89 ] simplifiying candidate #<alt (λ (v) (* (pow (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (fma (* v v) (- 3) 1)) (/ (sqrt 2) 4)) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 15 / 89 ] simplifiying candidate #<alt (λ (v) (* (pow (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (- 1 (* v v))))>
* * * * [misc]progress:  [ 16 / 89 ] simplifiying candidate #<alt (λ (v) (* (exp (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (fma (- 3) (* v v) 1))) (log (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (fma (- 3) (* v v) 1))) (log (/ (sqrt 2) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 17 / 89 ] simplifiying candidate #<alt (λ (v) (* (exp (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 18 / 89 ] simplifiying candidate #<alt (λ (v) (* (log (exp (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 19 / 89 ] simplifiying candidate #<alt (λ (v) (* (cbrt (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (387 enodes)
* [exit]simplify:  Simplified to (* (/ (/ 2 4) (* 4 4)) (* (sqrt (fma (* 3 v) (- v) 1)) (* (sqrt 2) (fma (* 3 v) (- v) 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (cbrt (* (/ (/ 2 4) (* 4 4)) (* (sqrt (fma (* 3 v) (- v) 1)) (* (sqrt 2) (fma (* 3 v) (- v) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 20 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (cbrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (cbrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (cbrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 21 / 89 ] simplifiying candidate #<alt (λ (v) (* (cbrt (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 22 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 23 / 89 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (- 3) (* 3 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* (- 3) (* 3 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt 2)) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)) 4)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (* (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)) 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 24 / 89 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (sqrt 2)) (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* 4 (sqrt (+ 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma 3 (* v v) 1)) 4)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (sqrt 2)) (* (sqrt (fma 3 (* v v) 1)) 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 25 / 89 ] simplifiying candidate #<alt (λ (v) (* (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 26 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (fma (* v v) (- 3) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 27 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (fma (* v v) (- 3) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 28 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (fma (* v v) (- 3) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 29 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (- 3) (* v v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (fma (- 3) (* v v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 30 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (fma (* v v) (- 3) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 31 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (- 3) (* v v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (fma (- 3) (* v v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 32 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 33 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt 2) 4))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 34 / 89 ] simplifiying candidate #<alt (λ (v) (* (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 35 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 36 / 89 ] simplifiying candidate #<alt (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 37 / 89 ] simplifiying candidate #<alt (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 3 (* v v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (fma 3 (* v v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 38 / 89 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) 4) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* v v) (- 3) 1)) (sqrt 2)) 4) (- 1 (* v v))))
* * * * [misc]progress:  [ 39 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (- 1 (* v v))))>
* * * * [misc]progress:  [ 40 / 89 ] simplifiying candidate #<alt (λ (v) (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 41 / 89 ] simplifiying candidate #<alt (λ (v) (expm1 (log1p (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 42 / 89 ] simplifiying candidate #<alt (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* v v) (- 3) 1))) 1))
* * * * [misc]progress:  [ 43 / 89 ] simplifiying candidate #<alt (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* v v) (- 3) 1))) 1))
* * * * [misc]progress:  [ 44 / 89 ] simplifiying candidate #<alt (λ (v) (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 1))>
* * * * [misc]progress:  [ 45 / 89 ] simplifiying candidate #<alt (λ (v) (exp (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (fma (* v v) (- 3) 1))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (log (sqrt (fma (* v v) (- 3) 1))) (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))))))
* * * * [misc]progress:  [ 46 / 89 ] simplifiying candidate #<alt (λ (v) (exp (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) (- 3) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))) (log (sqrt (fma (* v v) (- 3) 1))))))
* * * * [misc]progress:  [ 47 / 89 ] simplifiying candidate #<alt (λ (v) (exp (log (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 48 / 89 ] simplifiying candidate #<alt (λ (v) (log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 49 / 89 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (fma (* v v) (- 3) 1)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (* (* (fma (* v v) (- 3) 1) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (* (sqrt (fma (* v v) (- 3) 1)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (* (* (fma (* v v) (- 3) 1) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))))))
* * * * [misc]progress:  [ 50 / 89 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (* (/ (sqrt 2) 4) (fma (* 3 v) (- v) 1))) (* (pow (- 1 (* v v)) 3) (sqrt (fma (* 3 v) (- v) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (* (/ (sqrt 2) 4) (fma (* 3 v) (- v) 1))) (* (pow (- 1 (* v v)) 3) (sqrt (fma (* 3 v) (- v) 1))))))
* * * * [misc]progress:  [ 51 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 52 / 89 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 53 / 89 ] simplifiying candidate #<alt (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 54 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt 2) (fma (- (* v v)) (* (* v v) (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt 2) (fma (- (* v v)) (* (* v v) (* v v)) 1))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (223 enodes)
* [exit]simplify:  Simplified to (* (* 4 (fma (* v v) (fma v v 1) 1)) (sqrt (fma (* (* v v) 3) (* (* v v) 3) (fma (* 3 v) v 1))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) (* (* 4 (fma (* v v) (fma v v 1) 1)) (sqrt (fma (* (* v v) 3) (* (* v v) 3) (fma (* 3 v) v 1))))))
* * * * [misc]progress:  [ 55 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (447 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (fma (* (pow v 3) (- v)) (sqrt 2) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (fma (* (pow v 3) (- v)) (sqrt 2) (sqrt 2))) (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) (* (fma 4 (* v v) 4) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))))
* * * * [misc]progress:  [ 56 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (fma (* (* (* v v) (* v v)) (- (* v v))) (sqrt 2) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (fma (* (* (* v v) (* v v)) (- (* v v))) (sqrt 2) (sqrt 2))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (453 enodes)
* [exit]simplify:  Simplified to (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (* 3 v) v 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (* 3 v) v 1)))))
* * * * [misc]progress:  [ 57 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (fma (sqrt 2) (* (- v) (pow v 3)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (fma (sqrt 2) (* (- v) (pow v 3)) (sqrt 2))) (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (fma (sqrt 2) (* (- v) (pow v 3)) (sqrt 2))) (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4))))
* * * * [misc]progress:  [ 58 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* [exit]simplify:  Simplified to (* (* (fma (- (* v v)) (* (* v v) (* v v)) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (- (* v v)) (* (* v v) (* v v)) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (199 enodes)
* [exit]simplify:  Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)))))
* * * * [misc]progress:  [ 59 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (fma (pow v 3) (- v) 1)) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (fma (pow v 3) (- v) 1)) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (* (fma v v 1) (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (fma (pow v 3) (- v) 1)) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (* (fma v v 1) (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)))))
* * * * [misc]progress:  [ 60 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (428 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (fma (* (* (- v) v) (* (* v v) (* v v))) (/ (sqrt 2) 4) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (fma (* (* (- v) v) (* (* v v) (* v v))) (/ (sqrt 2) 4) (/ (sqrt 2) 4))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)))))
* * * * [misc]progress:  [ 61 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (* (fma (* (- v) (pow v 3)) (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (fma (* (- v) (pow v 3)) (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (fma (* (- v) (pow v 3)) (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1))) (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))))
* * * * [misc]progress:  [ 62 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (fma (* (* v (- v)) (* (* v v) (* v v))) (sqrt 2) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* v v) (- 3) 1)) (fma (* (* v (- v)) (* (* v v) (* v v))) (sqrt 2) (sqrt 2))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) (fma (fma (* v v) (* v v) (* v v)) 4 4)))
* * * * [misc]progress:  [ 63 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) (* 4 (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (* (fma (sqrt 2) (* (- v) (pow v 3)) (sqrt 2)) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (fma (sqrt 2) (* (- v) (pow v 3)) (sqrt 2)) (sqrt (fma (- 3) (* v v) 1))) (* 4 (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* 4 (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fma (* v v) 4 4)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (fma (sqrt 2) (* (- v) (pow v 3)) (sqrt 2)) (sqrt (fma (- 3) (* v v) 1))) (fma (* v v) 4 4)))
* * * * [misc]progress:  [ 64 / 89 ] simplifiying candidate #<alt (λ (v) (* 1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))>
* * * * [misc]progress:  [ 65 / 89 ] simplifiying candidate #<alt (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ v 4) (sqrt 2)) (- v)) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (* (/ v 4) (sqrt 2)) (- v)) (sqrt (fma (- 3) (* v v) 1)))))
* * * * [misc]progress:  [ 66 / 89 ] simplifiying candidate #<alt (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ v 4) (sqrt 2)) (- v)) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (* (/ v 4) (sqrt 2)) (- v)) (sqrt (fma (- 3) (* v v) 1)))))
* * * * [misc]progress:  [ 67 / 89 ] simplifiying candidate #<alt (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))>
* [enter]simplify:  Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (* (/ (* (sqrt 2) v) (/ 4 (- v))) (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (* (sqrt 2) v) (/ 4 (- v))) (sqrt (fma (* v v) (- 3) 1)))))
* * * * [misc]progress:  [ 68 / 89 ] simplifiying candidate #<alt (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))>
* [enter]simplify:  Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (* (/ (* (sqrt 2) v) (/ 4 (- v))) (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (* (sqrt 2) v) (/ 4 (- v))) (sqrt (fma (* v v) (- 3) 1)))))
* * * * [misc]progress:  [ 69 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))))>
* [enter]simplify:  Simplifying (cbrt (- 1 (* v v)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (* v v)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))))
* * * * [misc]progress:  [ 70 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* v v)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* v v)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))
* * * * [misc]progress:  [ 71 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- 1 (* v v))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (- 1 (* v v))
* [misc]simplify:  Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 72 / 89 ] simplifiying candidate #<alt (λ (v) (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) 4)
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) 4)
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))))
* * * * [misc]progress:  [ 73 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (fma (fma v v 1) (* v v) 1)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)))
* * * * [misc]progress:  [ 74 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))))>
* [enter]simplify:  Simplifying (+ 1 (* v v))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (fma v v 1)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)))
* * * * [misc]progress:  [ 75 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (406 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)) (* (sqrt 2) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)) (* (sqrt 2) (- 1 (* v v)))) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * * * [misc]progress:  [ 76 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (* 4 (sqrt (+ 1 (* 3 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1))) (* 4 (sqrt (+ 1 (* 3 (* v v)))))))
* * * * [misc]progress:  [ 77 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (487 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
* * * * [misc]progress:  [ 78 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) (sqrt (+ 1 (* 3 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* 3 (* v v)) (* (* v v) (- 3)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (fma (* 3 (* v v)) (* (* v v) (- 3)) 1))) (sqrt (+ 1 (* 3 (* v v))))))
* * * * [misc]progress:  [ 79 / 89 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) 4))>
* [enter]simplify:  Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (fma (* 3 v) (- v) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (fma (* 3 v) (- v) 1))) 4))
* * * * [misc]progress:  [ 80 / 89 ] simplifiying candidate #<alt (λ (v) (* (- 1 (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))>
* * * * [misc]progress:  [ 81 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* v v) 3)
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 82 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* v v) 3)
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 83 / 89 ] simplifiying candidate #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* v v) 3)
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 84 / 89 ] simplifiying candidate #<alt (λ (v) (* (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (- (fma (* v 3/8) (- v) 1/4) (* (pow v 4) 9/32)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (* (sqrt 2) (- (fma (* v 3/8) (- v) 1/4) (* (pow v 4) 9/32))) (- 1 (* v v))))
* * * * [misc]progress:  [ 85 / 89 ] simplifiying candidate #<alt (λ (v) (* (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (fma 1/32 (/ (/ (- (sqrt 2)) (* (* v v) (* v -3))) (sqrt -3)) (* (sqrt 2) (+ (* (sqrt -3) (* v 1/4)) (/ (/ 1/8 v) (sqrt -3)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (fma 1/32 (/ (/ (- (sqrt 2)) (* (* v v) (* v -3))) (sqrt -3)) (* (sqrt 2) (+ (* (sqrt -3) (* v 1/4)) (/ (/ 1/8 v) (sqrt -3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 86 / 89 ] simplifiying candidate #<alt (λ (v) (* (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (415 enodes)
* [exit]simplify:  Simplified to (fma (* (- 1/4) (sqrt 2)) (* v (sqrt -3)) (fma (/ (/ (/ 1/32 v) (* v v)) (sqrt -3)) (/ (sqrt 2) -3) (/ (* (sqrt 2) (- 1/8)) (* v (sqrt -3)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (fma (* (- 1/4) (sqrt 2)) (* v (sqrt -3)) (fma (/ (/ (/ 1/32 v) (* v v)) (sqrt -3)) (/ (sqrt 2) -3) (/ (* (sqrt 2) (- 1/8)) (* v (sqrt -3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 87 / 89 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (- (fma (pow v 4) 3/32 1/4) (* v (* v 5/8))))
* [misc]simplify:  Simplified (2) to (λ (v) (* (sqrt 2) (- (fma (pow v 4) 3/32 1/4) (* v (* v 5/8)))))
* * * * [misc]progress:  [ 88 / 89 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (223 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ (sqrt 2) v) (* -3 (sqrt -3))) 1/32 (- (fma 1/8 (/ (/ (sqrt 2) v) (sqrt -3)) (* (* v (sqrt -3)) (* 1/4 (sqrt 2)))) (fma 1/4 (* (* (* v v) (sqrt 2)) (* v (sqrt -3))) (/ (* (sqrt 2) (* 1/8 v)) (sqrt -3)))))
* [misc]simplify:  Simplified (2) to (λ (v) (fma (/ (/ (sqrt 2) v) (* -3 (sqrt -3))) 1/32 (- (fma 1/8 (/ (/ (sqrt 2) v) (sqrt -3)) (* (* v (sqrt -3)) (* 1/4 (sqrt 2)))) (fma 1/4 (* (* (* v v) (sqrt 2)) (* v (sqrt -3))) (/ (* (sqrt 2) (* 1/8 v)) (sqrt -3))))))
* * * * [misc]progress:  [ 89 / 89 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (- (- (fma 1/8 (/ v (/ (sqrt -3) (sqrt 2))) (* (* (* 1/4 v) (sqrt 2)) (* (* v v) (sqrt -3)))) (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3))))) (* (* (* 1/4 v) (sqrt 2)) (sqrt -3)))
* [misc]simplify:  Simplified (2) to (λ (v) (- (- (fma 1/8 (/ v (/ (sqrt -3) (sqrt 2))) (* (* (* 1/4 v) (sqrt 2)) (* (* v v) (sqrt -3)))) (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3))))) (* (* (* 1/4 v) (sqrt 2)) (sqrt -3))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) 1) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/4 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 3/4 (sqrt (sqrt 2))))) (+ (* 0 0) (* 0 (* 1/2 (sqrt (sqrt 2)))))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 3/8 (sqrt 2))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (- (* 3/4 (sqrt (sqrt 2))))) (+ (* 0 0) (* 0 (* 1/2 (sqrt (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/16 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 9/16 (sqrt (sqrt 2))))) (+ (* 0 0) (+ (* 0 (- (* 3/4 (sqrt (sqrt 2))))) (+ (* 0 0) (* 0 (* 1/2 (sqrt (sqrt 2)))))))) into (- (* 9/32 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 9/32 (sqrt 2))) into (- (* 9/32 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 9/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (sqrt -3)) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))) (+ (* 0 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 v) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 v)) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 v))))) into (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (sqrt -3)) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))) (+ (* 0 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 (- v))) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 (- v)))))) into (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* 3 (* v v)) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 (pow v 2)) into (* 3 (pow v 2))
* [misc]approximate:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2))
* [misc]approximate:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) 1) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/4 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 3/4 (sqrt (sqrt 2)))) into (- (* 3/4 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/16 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 9/16 (sqrt (sqrt 2)))) into (- (* 9/16 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 9/16 (sqrt (sqrt 2)))) (pow v 4)) (+ (* (- (* 3/4 (sqrt (sqrt 2)))) (pow v 2)) (* 1/2 (sqrt (sqrt 2))))) into (- (* 1/2 (sqrt (sqrt 2))) (+ (* 9/16 (* (sqrt (sqrt 2)) (pow v 4))) (* 3/4 (* (sqrt (sqrt 2)) (pow v 2)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (sqrt -3)) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3))))) (pow (/ 1 v) 3)) (+ (* (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3)))) (/ 1 v)) (* (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))) (/ 1 (/ 1 v))))) into (- (+ (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (* v (sqrt -3))))) (* 1/2 (* (sqrt (sqrt 2)) (* v (sqrt -3))))) (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (sqrt -3)) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3))))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3)))) (/ 1 (- v))) (* (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))) (/ 1 (/ 1 (- v)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))) (+ (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (* v (sqrt -3))))) (* 1/2 (* (sqrt (sqrt 2)) (* v (sqrt -3))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* v v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* v v)) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* v v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) 1) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/4 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 3/4 (sqrt (sqrt 2))))) (+ (* 0 0) (* 0 (* 1/2 (sqrt (sqrt 2)))))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (- (* 3/4 (sqrt (sqrt 2))))) (+ (* 0 0) (* 0 (* 1/2 (sqrt (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (sqrt 2))) 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/16 (sqrt (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 9/16 (sqrt (sqrt 2))))) (+ (* 0 0) (+ (* 0 (- (* 3/4 (sqrt (sqrt 2))))) (+ (* 0 0) (* 0 (* 1/2 (sqrt (sqrt 2)))))))) into (- (* 9/32 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 1))))) into (* 3/32 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 v) (/ 1 v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [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 (* (* 1/2 (sqrt (sqrt 2))) (sqrt -3)) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))) (+ (* 0 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (sqrt 2) 4)) in v
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) 4) in v
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in v
* [misc]taylor:  Taking taylor expansion of 2 in v
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 4 in v
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v
* [misc]taylor:  Taking taylor expansion of (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 3 in v
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify (+ 0 -3) into -3
* [misc]backup-simplify:  Simplify (sqrt -3) into (sqrt -3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -3))) into 0
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v
* [misc]taylor:  Taking taylor expansion of 1 in v
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v
* [misc]taylor:  Taking taylor expansion of (/ 1 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- v)) in v
* [misc]taylor:  Taking taylor expansion of (- v) in v
* [misc]taylor:  Taking taylor expansion of v in v
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (sqrt -3)) into (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))) into (* 1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))) into (* 1/8 (/ (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (pow (sqrt -3) 3)))))) (+ (* 0 0) (+ (* 0 (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (sqrt -3))))) (+ (* 0 0) (* 0 (* 1/2 (* (sqrt (sqrt 2)) (sqrt -3)))))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 155 ] simplifiying candidate #<alt (λ (v) (* (log1p (expm1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 2 / 155 ] simplifiying candidate #<alt (λ (v) (* (expm1 (log1p (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 3 / 155 ] simplifiying candidate #<alt (λ (v) (* (pow (* (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v))))) 1/2) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (fma (* (* v v) (- 3)) (/ (/ 2 4) 4) (/ (/ 2 4) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (fma (* (* v v) (- 3)) (/ (/ 2 4) 4) (/ (/ 2 4) 4)) 1/2) (- 1 (* v v))))
* * * * [misc]progress:  [ 4 / 155 ] simplifiying candidate #<alt (λ (v) (* (pow (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (- 3) (* v v) 1)) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (fma (- 3) (* v v) 1)) (/ (sqrt 2) 4)) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 5 / 155 ] simplifiying candidate #<alt (λ (v) (* (pow (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (- 3) (* v v) 1)) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (fma (- 3) (* v v) 1)) (/ (sqrt 2) 4)) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 6 / 155 ] simplifiying candidate #<alt (λ (v) (* (pow (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (- 1 (* v v))))>
* * * * [misc]progress:  [ 7 / 155 ] simplifiying candidate #<alt (λ (v) (* (exp (+ (log (sqrt (/ (sqrt 2) 4))) (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (sqrt 2) 4))) (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (/ (sqrt 2) 4)))) (log (sqrt (fma (- 3) (* v v) 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (exp (+ (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (/ (sqrt 2) 4)))) (log (sqrt (fma (- 3) (* v v) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 8 / 155 ] simplifiying candidate #<alt (λ (v) (* (exp (+ (log (sqrt (/ (sqrt 2) 4))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (sqrt 2) 4))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (sqrt 2) 4))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (fma (- 3) (* v v) 1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (/ (sqrt 2) 4))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (fma (- 3) (* v v) 1)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 9 / 155 ] simplifiying candidate #<alt (λ (v) (* (exp (log (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 10 / 155 ] simplifiying candidate #<alt (λ (v) (* (log (exp (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 11 / 155 ] simplifiying candidate #<alt (λ (v) (* (cbrt (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (fma (* v v) (- 3) 1)) (* (fma (* v v) (- 3) 1) (/ (sqrt 2) 4))) (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (cbrt (* (* (sqrt (fma (* v v) (- 3) 1)) (* (fma (* v v) (- 3) 1) (/ (sqrt 2) 4))) (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 12 / 155 ] simplifiying candidate #<alt (λ (v) (* (cbrt (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (* (* (* (fma (* v v) (- 3) 1) (/ (sqrt 2) 4)) (* (/ (sqrt 2) 4) (/ (sqrt 2) 4))) (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (cbrt (* (* (* (fma (* v v) (- 3) 1) (/ (sqrt 2) 4)) (* (/ (sqrt 2) 4) (/ (sqrt 2) 4))) (sqrt (fma (* v v) (- 3) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 13 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (cbrt (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (cbrt (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (cbrt (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 14 / 155 ] simplifiying candidate #<alt (λ (v) (* (cbrt (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 15 / 155 ] simplifiying candidate #<alt (λ (v) (* (sqrt (* (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (fma (* (* v v) (- 3)) (/ (/ 2 4) 4) (/ (/ 2 4) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (sqrt (fma (* (* v v) (- 3)) (/ (/ 2 4) 4) (/ (/ 2 4) 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 16 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 17 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (295 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt 2) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* * [misc]simplify:  iters left: 2 (472 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (fma (* 3 v) (* 3 v) 3) (* v v) 1)) 4)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (* (sqrt (fma (fma (* 3 v) (* 3 v) 3) (* v v) 1)) 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 18 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (278 enodes)
* * [misc]simplify:  iters left: 1 (336 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (* v (- v)) 1)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (* v (- v)) 1)) (sqrt 2)) (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (fma (* v v) 3 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (* v (- v)) 1)) (sqrt 2)) (* 4 (sqrt (fma (* v v) 3 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 19 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4)))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* * [misc]simplify:  iters left: 2 (490 enodes)
* [exit]simplify:  Simplified to (* (sqrt 4) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (* (sqrt 4) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 20 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* v 3) (* v 3)) (* v (- v)) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* (* v 3) (* v 3)) (* v (- v)) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4)))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (sqrt 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (fma (* (* v 3) (* v 3)) (* v (- v)) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4)))) (* (sqrt (fma (* v v) 3 1)) (sqrt 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 21 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt 4) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 v) (- v) 1)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (* 3 v) (- v) 1)) (sqrt 2)) (* (sqrt 4) (sqrt 4))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt 4))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to 4
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (fma (* 3 v) (- v) 1)) (sqrt 2)) 4) (- 1 (* v v))))
* * * * [misc]progress:  [ 22 / 155 ] simplifiying candidate #<alt (λ (v) (* (* 1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 23 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (- 3) (* v v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (- 3) (* v v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 24 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4)))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4)))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 25 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (fabs (cbrt (/ (sqrt 2) 4))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 26 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (sqrt 2) 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 27 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt 1) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt 1) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 28 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (sqrt 2)) (* (sqrt (/ 1 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt 2)) (* (sqrt (/ 1 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 29 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (sqrt 2) 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 30 / 155 ] simplifiying candidate #<alt (λ (v) (* (* 1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 31 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* * [misc]simplify:  iters left: 2 (490 enodes)
* [exit]simplify:  Simplified to (* (sqrt 4) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (* (sqrt 4) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 32 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (sqrt 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (* (sqrt (fma (* v v) 3 1)) (sqrt 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 33 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 34 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ 1 (* 3 (* v v))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 3 (* v v) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (fma 3 (* v v) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 35 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt 4)) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt 4)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 4)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 36 / 155 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt 4)) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (- 3) (* v v) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (fma (- 3) (* v v) 1)) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4)))) (sqrt 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 37 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (sqrt 2) 4))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 38 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (log1p (expm1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 39 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (expm1 (log1p (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 40 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* 3 (* v v)) 1))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 41 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (exp (log (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 42 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 43 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) (cbrt (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 44 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (cbrt (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 45 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 46 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 47 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 v) v))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 48 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 49 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (log1p (expm1 (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 50 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (expm1 (log1p (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 51 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (pow (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))) 1/2)) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (465 enodes)
* [exit]simplify:  Simplified to (fma (/ (sqrt 2) 4) (* (* v v) (- 3)) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (pow (fma (/ (sqrt 2) 4) (* (* v v) (- 3)) (/ (sqrt 2) 4)) 1/2)) (- 1 (* v v))))
* * * * [misc]progress:  [ 52 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (pow (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) 1)) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (- 3) (* v v) 1)) (sqrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (pow (* (sqrt (fma (- 3) (* v v) 1)) (sqrt (/ (sqrt 2) 4))) 1)) (- 1 (* v v))))
* * * * [misc]progress:  [ 53 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (pow (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) 1)) (- 1 (* v v))))>
* * * * [misc]progress:  [ 54 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (exp (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (fma (- 3) (* v v) 1))) (log (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (exp (+ (log (sqrt (fma (- 3) (* v v) 1))) (log (sqrt (/ (sqrt 2) 4)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 55 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (exp (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 56 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (log (exp (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 57 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (cbrt (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (* (* (fma (- 3) (* v v) 1) (sqrt (fma (- 3) (* v v) 1))) (* (sqrt (/ (sqrt 2) 4)) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (cbrt (* (* (fma (- 3) (* v v) 1) (sqrt (fma (- 3) (* v v) 1))) (* (sqrt (/ (sqrt 2) 4)) (/ (sqrt 2) 4))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 58 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (cbrt (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (cbrt (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (cbrt (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 59 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (cbrt (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 60 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (/ (sqrt 2) 4) (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (465 enodes)
* [exit]simplify:  Simplified to (fma (/ (sqrt 2) 4) (* (* v v) (- 3)) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (fma (/ (sqrt 2) 4) (* (* v v) (- 3)) (/ (sqrt 2) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 61 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 62 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt (sqrt 2))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* * [misc]simplify:  iters left: 2 (490 enodes)
* [exit]simplify:  Simplified to (* (sqrt 4) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (* (sqrt 4) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 63 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (276 enodes)
* * [misc]simplify:  iters left: 1 (316 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (* v (- v)) 1)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (* v (- v)) 1)) (sqrt (sqrt 2))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (sqrt 4))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (* v (- v)) 1)) (sqrt (sqrt 2))) (* (sqrt (fma (* v v) 3 1)) (sqrt 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 64 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* 1 (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 65 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (fma (* v v) (- 3) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 66 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (fma (* v v) (- 3) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 67 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (fma (* v v) (- 3) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 68 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt 1)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (- 3) (* v v) 1))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt 1)) (sqrt (fma (- 3) (* v v) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 69 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (fma (* v v) (- 3) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 70 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) 1) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (- 3) (* v v) 1))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) 1) (sqrt (fma (- 3) (* v v) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 71 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4)))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (sqrt (/ (sqrt 2) 4)))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 72 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (fabs (cbrt (/ (sqrt 2) 4))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 73 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (sqrt 2) 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 74 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt 1) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt 1) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 75 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (* (sqrt (/ 1 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (* (sqrt (/ 1 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 76 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (sqrt 2) 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 77 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* 1 (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 78 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (fma (* 3 v) (fma (* v v) (* 3 v) v) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 79 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* 3 (* v v))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 3 (* v v) 1))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (fma 3 (* v v) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 80 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt 2)) (sqrt (fma (* v v) (- 3) 1)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (/ (* (sqrt (sqrt 2)) (sqrt (fma (* v v) (- 3) 1))) (sqrt 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 81 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (/ (sqrt 2) 4)))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 82 / 155 ] simplifiying candidate #<alt (λ (v) (log1p (expm1 (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 83 / 155 ] simplifiying candidate #<alt (λ (v) (expm1 (log1p (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 84 / 155 ] simplifiying candidate #<alt (λ (v) (pow (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) 1))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (sqrt (fma (* v v) (- 3) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v)))) 1))
* * * * [misc]progress:  [ 85 / 155 ] simplifiying candidate #<alt (λ (v) (pow (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) 1))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (sqrt (fma (* v v) (- 3) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v)))) 1))
* * * * [misc]progress:  [ 86 / 155 ] simplifiying candidate #<alt (λ (v) (pow (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) 1))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (sqrt (fma (* v v) (- 3) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v)))) 1))
* * * * [misc]progress:  [ 87 / 155 ] simplifiying candidate #<alt (λ (v) (pow (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) 1))>
* * * * [misc]progress:  [ 88 / 155 ] simplifiying candidate #<alt (λ (v) (exp (+ (+ (log (sqrt (/ (sqrt 2) 4))) (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v))))))) (log (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (+ (log (sqrt (/ (sqrt 2) 4))) (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v))))))) (log (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (- 1 (* v v))) (log (sqrt (fma (* 3 v) (- v) 1)))) (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (/ (sqrt 2) 4)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (+ (log (- 1 (* v v))) (log (sqrt (fma (* 3 v) (- v) 1)))) (+ (log (sqrt (/ (sqrt 2) 4))) (log (sqrt (/ (sqrt 2) 4)))))))
* * * * [misc]progress:  [ 89 / 155 ] simplifiying candidate #<alt (λ (v) (exp (+ (+ (log (sqrt (/ (sqrt 2) 4))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (log (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (+ (log (sqrt (/ (sqrt 2) 4))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (log (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (/ (sqrt 2) 4))) (log (- 1 (* v v)))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (fma (* 3 v) (- v) 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (+ (log (sqrt (/ (sqrt 2) 4))) (log (- 1 (* v v)))) (log (* (sqrt (/ (sqrt 2) 4)) (sqrt (fma (* 3 v) (- v) 1)))))))
* * * * [misc]progress:  [ 90 / 155 ] simplifiying candidate #<alt (λ (v) (exp (+ (log (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (log (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (log (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (log (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (fma (- 3) (* v v) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (fma (- 3) (* v v) 1))))))
* * * * [misc]progress:  [ 91 / 155 ] simplifiying candidate #<alt (λ (v) (exp (log (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 92 / 155 ] simplifiying candidate #<alt (λ (v) (log (exp (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 93 / 155 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (201 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (* (fma (* v 3) (- v) 1) (/ (sqrt 2) 4))) (* (sqrt (fma (* v 3) (- v) 1)) (pow (- 1 (* v v)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (* (fma (* v 3) (- v) 1) (/ (sqrt 2) 4))) (* (sqrt (fma (* v 3) (- v) 1)) (pow (- 1 (* v v)) 3)))))
* * * * [misc]progress:  [ 94 / 155 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (182 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (/ (sqrt 2) 4)) (fma (- 3) (* v v) 1)) (* (/ (sqrt 2) 4) (sqrt (fma (- 3) (* v v) 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt (/ (sqrt 2) 4)) (fma (- 3) (* v v) 1)) (* (/ (sqrt 2) 4) (sqrt (fma (- 3) (* v v) 1)))))))
* * * * [misc]progress:  [ 95 / 155 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (sqrt 2) 4) (sqrt (fma (* v 3) (- v) 1))) (* (/ (sqrt 2) 4) (sqrt (fma (* v 3) (- v) 1)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt (fma (* v 3) (- v) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (* (* (/ (sqrt 2) 4) (sqrt (fma (* v 3) (- v) 1))) (* (/ (sqrt 2) 4) (sqrt (fma (* v 3) (- v) 1)))) (* (* (- 1 (* v v)) (- 1 (* v v))) (* (sqrt (fma (* v 3) (- v) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v))))))))
* * * * [misc]progress:  [ 96 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (cbrt (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (cbrt (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) (cbrt (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 97 / 155 ] simplifiying candidate #<alt (λ (v) (cbrt (* (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 98 / 155 ] simplifiying candidate #<alt (λ (v) (* (sqrt (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))))>
* * * * [misc]progress:  [ 99 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt 2) (fma (* (- v) v) (* (* v v) (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt 2) (fma (* (- v) v) (* (* v v) (* v v)) 1))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1)) (* 4 (fma (* v v) (* v v) (fma v v 1))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1)) (* 4 (fma (* v v) (* v v) (fma v v 1))))))
* * * * [misc]progress:  [ 100 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (479 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)) (* (fma (pow v 3) (- v) 1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)) (* (fma (pow v 3) (- v) 1) (sqrt 2))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (169 enodes)
* [exit]simplify:  Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)) (* (fma (pow v 3) (- v) 1) (sqrt 2))) (* (* (fma v v 1) 4) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))))
* * * * [misc]progress:  [ 101 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) v) (* (- v) (* 3 v)) 1)) (* (fma (* (- v) v) (* (* v v) (* v v)) 1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) v) (* (- v) (* 3 v)) 1)) (* (fma (* (- v) v) (* (* v v) (* v v)) 1) (sqrt 2))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* [exit]simplify:  Simplified to (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) 3 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) v) (* (- v) (* 3 v)) 1)) (* (fma (* (- v) v) (* (* v v) (* v v)) 1) (sqrt 2))) (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) 3 1)))))
* * * * [misc]progress:  [ 102 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (* (fma (- v) (pow v 3) 1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (* (fma (- v) (pow v 3) 1) (sqrt 2))) (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (fma (* v v) 4 4))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (* (fma (- v) (pow v 3) 1) (sqrt 2))) (* (sqrt (fma (* v v) 3 1)) (fma (* v v) 4 4))))
* * * * [misc]progress:  [ 103 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt 2)) (fma (* (* v v) (* v v)) (* (- v) v) 1)) (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (sqrt (sqrt 2)) (fma (* (* v v) (* v v)) (* (- v) v) 1)) (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt (/ (sqrt 2) 4)))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (213 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (* (* 3 v) (* 3 v)) (fma (* 3 v) v 1))) (* (fma (* v v) (fma v v 1) 1) (sqrt 4)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (fma (* v v) (* (* 3 v) (* 3 v)) (fma (* 3 v) v 1))) (* (fma (* v v) (fma v v 1) 1) (sqrt 4)))))
* * * * [misc]progress:  [ 104 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (494 enodes)
* [exit]simplify:  Simplified to (* (* (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* * [misc]simplify:  iters left: 3 (440 enodes)
* [exit]simplify:  Simplified to (* (fma (* v v) (sqrt 4) (sqrt 4)) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v)))) (* (fma (* v v) (sqrt 4) (sqrt 4)) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))))
* * * * [misc]progress:  [ 105 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (389 enodes)
* [exit]simplify:  Simplified to (* (* (* (fma (* (- v) v) (* (* v v) (* v v)) 1) (sqrt (sqrt 2))) (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1))) (sqrt (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (* (fma (* (- v) v) (* (* v v) (* v v)) 1) (sqrt (sqrt 2))) (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1))) (sqrt (/ (sqrt 2) 4))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (443 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 v) v 1)) (fma (fma (* v v) (* v v) (* v v)) (sqrt 4) (sqrt 4)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (fma (* 3 v) v 1)) (fma (fma (* v v) (* v v) (* v v)) (sqrt 4) (sqrt 4)))))
* * * * [misc]progress:  [ 106 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (342 enodes)
* [exit]simplify:  Simplified to (* (* (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (fma (sqrt 4) (* v v) (sqrt 4)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1))) (* (sqrt (fma (* v v) 3 1)) (fma (sqrt 4) (* v v) (sqrt 4)))))
* * * * [misc]progress:  [ 107 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (sqrt 4)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (* (fma (* (* v v) (* v v)) (* (- v) v) 1) (* (sqrt 2) (sqrt (fma (- 3) (* v v) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (fma (* (* v v) (* v v)) (* (- v) v) 1) (* (sqrt 2) (sqrt (fma (- 3) (* v v) 1)))) (* (* (sqrt 4) (sqrt 4)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt 4)) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (315 enodes)
* [exit]simplify:  Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (fma (* (* v v) (* v v)) (* (- v) v) 1) (* (sqrt 2) (sqrt (fma (- 3) (* v v) 1)))) (fma (fma (* v v) (* v v) (* v v)) 4 4)))
* * * * [misc]progress:  [ 108 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (sqrt 4)) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (- 3) 1)) (* (fma (pow v 3) (- v) 1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* v v) (- 3) 1)) (* (fma (pow v 3) (- v) 1) (sqrt 2))) (* (* (sqrt 4) (sqrt 4)) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt 4)) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (fma (* v v) 4 4)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* v v) (- 3) 1)) (* (fma (pow v 3) (- v) 1) (sqrt 2))) (fma (* v v) 4 4)))
* * * * [misc]progress:  [ 109 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ (sqrt 2) 4)) (fma (* (* v v) (* v v)) (* (- v) v) 1)) (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (fma (* (* v v) (* v v)) (* (- v) v) 1)) (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (sqrt (sqrt 2)))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (213 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) (* (* 3 v) (* 3 v)) (fma (* 3 v) v 1))) (* (fma (* v v) (fma v v 1) 1) (sqrt 4)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (fma (* v v) (* (* 3 v) (* 3 v)) (fma (* 3 v) v 1))) (* (fma (* v v) (fma v v 1) 1) (sqrt 4)))))
* * * * [misc]progress:  [ 110 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (494 enodes)
* [exit]simplify:  Simplified to (* (* (fma (sqrt (sqrt 2)) (* (pow v 3) (- v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (sqrt (sqrt 2)) (* (pow v 3) (- v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1))) (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* * [misc]simplify:  iters left: 3 (440 enodes)
* [exit]simplify:  Simplified to (* (fma (* v v) (sqrt 4) (sqrt 4)) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v)))) (* (fma (* v v) (sqrt 4) (sqrt 4)) (sqrt (fma (* v v) (fma (* 3 v) (* 3 v) 3) 1)))))
* * * * [misc]progress:  [ 111 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (390 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (sqrt (/ (sqrt 2) 4))) (fma (sqrt (sqrt 2)) (* (* (* v v) (* v v)) (* (- v) v)) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (sqrt (/ (sqrt 2) 4))) (fma (sqrt (sqrt 2)) (* (* (* v v) (* v v)) (* (- v) v)) (sqrt (sqrt 2)))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (443 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 v) v 1)) (fma (fma (* v v) (* v v) (* v v)) (sqrt 4) (sqrt 4)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (fma (* 3 v) v 1)) (fma (fma (* v v) (* v v) (* v v)) (sqrt 4) (sqrt 4)))))
* * * * [misc]progress:  [ 112 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v)))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (342 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (* (sqrt (/ (sqrt 2) 4)) (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (* (sqrt (/ (sqrt 2) 4)) (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (fma (sqrt 4) (* v v) (sqrt 4)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* (* v 3) (* v 3)) (* (- v) v) 1)) (* (sqrt (/ (sqrt 2) 4)) (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (sqrt (fma (* v v) 3 1)) (fma (sqrt 4) (* v v) (sqrt 4)))))
* * * * [misc]progress:  [ 113 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (fma (- (* v v)) (* (* v v) (* v v)) 1)) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (fma (- (* v v)) (* (* v v) (* v v)) 1)) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (199 enodes)
* [exit]simplify:  Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (fma (- (* v v)) (* (* v v) (* v v)) 1)) (sqrt (fma (* (- 3) (* 3 3)) (pow (* v v) 3) 1))) (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)))))
* * * * [misc]progress:  [ 114 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v)))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (481 enodes)
* [exit]simplify:  Simplified to (* (* (fma (- v) (pow v 3) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (- v) (pow v 3) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1))) (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (* (fma v v 1) (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (fma (- v) (pow v 3) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* 3 3) (- 3)) (pow (* v v) 3) 1))) (* (fma v v 1) (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)))))
* * * * [misc]progress:  [ 115 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (371 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (- 3) (* v v)) (* (* v v) 3) 1)) (* (/ (sqrt 2) 4) (fma (* (* v v) (* v v)) (- (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* v v)) (* (* v v) 3) 1)) (* (/ (sqrt 2) 4) (fma (* (* v v) (* v v)) (- (* v v)) 1))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* v v)) (* (* v v) 3) 1)) (* (/ (sqrt 2) 4) (fma (* (* v v) (* v v)) (- (* v v)) 1))) (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)))))
* * * * [misc]progress:  [ 116 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v)))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (325 enodes)
* [exit]simplify:  Simplified to (* (* (fma (pow v 3) (- v) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* v v) 3) (* (- 3) (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (pow v 3) (- v) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* v v) 3) (* (- 3) (* v v)) 1))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (fma (pow v 3) (- v) 1) (/ (sqrt 2) 4)) (sqrt (fma (* (* v v) 3) (* (- 3) (* v v)) 1))) (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))))
* * * * [misc]progress:  [ 117 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt 4) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (fma (* (- (* v v)) (* (* v v) (* v v))) (sqrt (fma (- 3) (* v v) 1)) (sqrt (fma (- 3) (* v v) 1))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (fma (* (- (* v v)) (* (* v v) (* v v))) (sqrt (fma (- 3) (* v v) 1)) (sqrt (fma (- 3) (* v v) 1))) (* (sqrt (/ (sqrt 2) 4)) (sqrt (sqrt 2)))) (* (sqrt 4) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (sqrt 4) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* * [misc]simplify:  iters left: 2 (483 enodes)
* [exit]simplify:  Simplified to (fma (fma (* v v) (sqrt 4) (sqrt 4)) (* v v) (sqrt 4))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (fma (fma (* v v) (sqrt 4) (sqrt 4)) (* v v) (sqrt 4))))
* * * * [misc]progress:  [ 118 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (* (sqrt 4) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (fma (* 3 v) (- v) 1)) (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (fma (* 3 v) (- v) 1)) (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (sqrt 4) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (sqrt 4) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (fma (sqrt 4) (* v v) (sqrt 4))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (fma (* 3 v) (- v) 1)) (fma (* (pow v 3) (- v)) (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (fma (sqrt 4) (* v v) (sqrt 4))))
* * * * [misc]progress:  [ 119 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (* (sqrt 4) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (* (fma (* (- (* v v)) (* (* v v) (* v v))) (sqrt (fma (- 3) (* v v) 1)) (sqrt (fma (- 3) (* v v) 1))) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (fma (* (- (* v v)) (* (* v v) (* v v))) (sqrt (fma (- 3) (* v v) 1)) (sqrt (fma (- 3) (* v v) 1))) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) 4)))) (* (sqrt 4) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))
* [enter]simplify:  Simplifying (* (sqrt 4) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* * [misc]simplify:  iters left: 2 (483 enodes)
* [exit]simplify:  Simplified to (fma (fma (* v v) (sqrt 4) (sqrt 4)) (* v v) (sqrt 4))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (fma (fma (* v v) (sqrt 4) (sqrt 4)) (* v v) (sqrt 4))))
* * * * [misc]progress:  [ 120 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (* (sqrt 4) (+ 1 (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (* (* (fma (sqrt (sqrt 2)) (* (pow v 3) (- v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* 3 v) (- v) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (fma (sqrt (sqrt 2)) (* (pow v 3) (- v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* 3 v) (- v) 1))) (* (sqrt 4) (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* (sqrt 4) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (fma (sqrt 4) (* v v) (sqrt 4))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (fma (sqrt (sqrt 2)) (* (pow v 3) (- v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))) (sqrt (fma (* 3 v) (- v) 1))) (fma (sqrt 4) (* v v) (sqrt 4))))
* * * * [misc]progress:  [ 121 / 155 ] simplifiying candidate #<alt (λ (v) (* 1 (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))>
* * * * [misc]progress:  [ 122 / 155 ] simplifiying candidate #<alt (λ (v) (+ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (460 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) (/ 4 v)) (- v)) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (* (* (/ (sqrt 2) (/ 4 v)) (- v)) (sqrt (fma (- 3) (* v v) 1)))))
* * * * [misc]progress:  [ 123 / 155 ] simplifiying candidate #<alt (λ (v) (+ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* v v)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (460 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) (/ 4 v)) (- v)) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (* (* (/ (sqrt 2) (/ 4 v)) (- v)) (sqrt (fma (- 3) (* v v) 1)))))
* * * * [misc]progress:  [ 124 / 155 ] simplifiying candidate #<alt (λ (v) (+ (* 1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (- (* v v)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))))>
* [enter]simplify:  Simplifying (* (- (* v v)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (* v (- v))) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* 1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (* (/ (sqrt 2) 4) (* v (- v))) (sqrt (fma (- 3) (* v v) 1)))))
* * * * [misc]progress:  [ 125 / 155 ] simplifiying candidate #<alt (λ (v) (+ (* 1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (- (* v v)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))))>
* [enter]simplify:  Simplifying (* (- (* v v)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt 2) 4) (* v (- v))) (sqrt (fma (- 3) (* v v) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* 1 (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (* (/ (sqrt 2) 4) (* v (- v))) (sqrt (fma (- 3) (* v v) 1)))))
* * * * [misc]progress:  [ 126 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))))>
* [enter]simplify:  Simplifying (cbrt (- 1 (* v v)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (* v v)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))))
* * * * [misc]progress:  [ 127 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* v v)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* v v)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))
* * * * [misc]progress:  [ 128 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- 1 (* v v))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (- 1 (* v v))
* [misc]simplify:  Simplified (2 2) to (λ (v) (* (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 129 / 155 ] simplifiying candidate #<alt (λ (v) (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt 2) 4))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt 2) 4)) (* (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
* * * * [misc]progress:  [ 130 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))>
* [enter]simplify:  Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (fma (fma v v 1) (* v v) 1)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) (fma (fma v v 1) (* v v) 1)))
* * * * [misc]progress:  [ 131 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))))>
* [enter]simplify:  Simplifying (+ 1 (* v v))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (fma v v 1)
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) (fma v v 1)))
* * * * [misc]progress:  [ 132 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2) (- 1 (* v v))) (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* v v))) (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))))
* * * * [misc]progress:  [ 133 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2) (- 1 (* v v))) (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (sqrt 2) (- 1 (* v v))) (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1))) (* (sqrt 4) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v))))))))
* * * * [misc]progress:  [ 134 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (447 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (- 3) (* 3 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt (/ (sqrt 2) 4)) (* (- 1 (* v v)) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* 3 3)) (* (pow v 3) (pow v 3)) 1)) (* (sqrt (/ (sqrt 2) 4)) (* (- 1 (* v v)) (sqrt (sqrt 2))))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * * * [misc]progress:  [ 135 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (315 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (- 1 (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (- 1 (* v v))))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))))
* * * * [misc]progress:  [ 136 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (sqrt 4) (sqrt 4))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (436 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 v) (- v) 1)) (- (sqrt 2) (* (sqrt 2) (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* 3 v) (- v) 1)) (- (sqrt 2) (* (sqrt 2) (* v v)))) (* (sqrt 4) (sqrt 4))))
* * * * [misc]progress:  [ 137 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (447 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (- 3) (* 3 3)) (* (pow v 3) (pow v 3)) 1)) (* (* (- 1 (* v v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (- 3) (* 3 3)) (* (pow v 3) (pow v 3)) 1)) (* (* (- 1 (* v v)) (sqrt (sqrt 2))) (sqrt (/ (sqrt 2) 4)))) (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * * * [misc]progress:  [ 138 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (315 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1)) (* (* (sqrt (sqrt 2)) (- 1 (* v v))) (sqrt (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* v 3) (* v 3)) (- (* v v)) 1)) (* (* (sqrt (sqrt 2)) (- 1 (* v v))) (sqrt (/ (sqrt 2) 4)))) (* (sqrt 4) (sqrt (+ 1 (* 3 (* v v)))))))
* * * * [misc]progress:  [ 139 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (428 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (- 1 (* v v)) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 3) (- 3)) (* (pow v 3) (pow v 3)) 1)) (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
* * * * [misc]progress:  [ 140 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v))) (sqrt (+ 1 (* 3 (* v v))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (fma (* (* 3 v) (* 3 v)) (- (* v v)) 1)) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (sqrt (+ 1 (* 3 (* v v))))))
* * * * [misc]progress:  [ 141 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (sqrt 4)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (fma (* v v) (- 3) 1)) (* (- 1 (* v v)) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (fma (* v v) (- 3) 1)) (* (- 1 (* v v)) (sqrt (sqrt 2))))) (sqrt 4)))
* * * * [misc]progress:  [ 142 / 155 ] simplifiying candidate #<alt (λ (v) (/ (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (sqrt 4)))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt 2)) (sqrt (fma (* v v) (- 3) 1))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (sqrt (/ (sqrt 2) 4))) (* (sqrt (sqrt 2)) (sqrt (fma (* v v) (- 3) 1)))) (sqrt 4)))
* * * * [misc]progress:  [ 143 / 155 ] simplifiying candidate #<alt (λ (v) (* (- 1 (* v v)) (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))))>
* * * * [misc]progress:  [ 144 / 155 ] simplifiying candidate #<alt (λ (v) (* (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (- (fma (* v 3/8) (- v) 1/4) (* (pow v 4) 9/32)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (* (sqrt 2) (- (fma (* v 3/8) (- v) 1/4) (* (pow v 4) 9/32))) (- 1 (* v v))))
* * * * [misc]progress:  [ 145 / 155 ] simplifiying candidate #<alt (λ (v) (* (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (fma 1/32 (/ (/ (- (sqrt 2)) (* (* v v) (* v -3))) (sqrt -3)) (* (sqrt 2) (+ (* (sqrt -3) (* v 1/4)) (/ (/ 1/8 v) (sqrt -3)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (fma 1/32 (/ (/ (- (sqrt 2)) (* (* v v) (* v -3))) (sqrt -3)) (* (sqrt 2) (+ (* (sqrt -3) (* v 1/4)) (/ (/ 1/8 v) (sqrt -3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 146 / 155 ] simplifiying candidate #<alt (λ (v) (* (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (415 enodes)
* [exit]simplify:  Simplified to (fma (* (- 1/4) (sqrt 2)) (* v (sqrt -3)) (fma (/ (/ (/ 1/32 v) (* v v)) (sqrt -3)) (/ (sqrt 2) -3) (/ (* (sqrt 2) (- 1/8)) (* v (sqrt -3)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (fma (* (- 1/4) (sqrt 2)) (* v (sqrt -3)) (fma (/ (/ (/ 1/32 v) (* v v)) (sqrt -3)) (/ (sqrt 2) -3) (/ (* (sqrt 2) (- 1/8)) (* v (sqrt -3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 147 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (pow v 2)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* v v) 3)
* [misc]simplify:  Simplified (2 1 2 2 1 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 148 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (pow v 2)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* v v) 3)
* [misc]simplify:  Simplified (2 1 2 2 1 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 149 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (pow v 2)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* v v) 3)
* [misc]simplify:  Simplified (2 1 2 2 1 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 150 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (- (* 1/2 (sqrt (sqrt 2))) (+ (* 9/16 (* (sqrt (sqrt 2)) (pow v 4))) (* 3/4 (* (sqrt (sqrt 2)) (pow v 2)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/2 (sqrt (sqrt 2))) (+ (* 9/16 (* (sqrt (sqrt 2)) (pow v 4))) (* 3/4 (* (sqrt (sqrt 2)) (pow v 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt 2)) (- (fma (pow v 4) (- 9/16) 1/2) (* v (* 3/4 v))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt 2)) (- (fma (pow v 4) (- 9/16) 1/2) (* v (* 3/4 v))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 151 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (- (+ (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (* v (sqrt -3))))) (* 1/2 (* (sqrt (sqrt 2)) (* v (sqrt -3))))) (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (* v (sqrt -3))))) (* 1/2 (* (sqrt (sqrt 2)) (* v (sqrt -3))))) (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (210 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (sqrt (sqrt 2)) (* (sqrt -3) v)) 1/4 (* (* (* 1/2 v) (sqrt -3)) (sqrt (sqrt 2)))) (* (/ (sqrt (sqrt 2)) (* v v)) (/ 1/16 (* (sqrt -3) (* -3 v)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (- (fma (/ (sqrt (sqrt 2)) (* (sqrt -3) v)) 1/4 (* (* (* 1/2 v) (sqrt -3)) (sqrt (sqrt 2)))) (* (/ (sqrt (sqrt 2)) (* v v)) (/ 1/16 (* (sqrt -3) (* -3 v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 152 / 155 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))) (+ (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (* v (sqrt -3))))) (* 1/2 (* (sqrt (sqrt 2)) (* v (sqrt -3))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/16 (* (sqrt (sqrt 2)) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))) (+ (* 1/4 (* (sqrt (sqrt 2)) (/ 1 (* v (sqrt -3))))) (* 1/2 (* (sqrt (sqrt 2)) (* v (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (200 enodes)
* [exit]simplify:  Simplified to (- (* (/ (sqrt (sqrt 2)) (* (* v v) (* v -3))) (/ 1/16 (sqrt -3))) (fma (/ (sqrt (sqrt 2)) (* (sqrt -3) v)) 1/4 (* (* (sqrt -3) (* v 1/2)) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (- (* (/ (sqrt (sqrt 2)) (* (* v v) (* v -3))) (/ 1/16 (sqrt -3))) (fma (/ (sqrt (sqrt 2)) (* (sqrt -3) v)) 1/4 (* (* (sqrt -3) (* v 1/2)) (sqrt (sqrt 2)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 153 / 155 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (- (fma (pow v 4) 3/32 1/4) (* v (* v 5/8))))
* [misc]simplify:  Simplified (2) to (λ (v) (* (sqrt 2) (- (fma (pow v 4) 3/32 1/4) (* v (* v 5/8)))))
* * * * [misc]progress:  [ 154 / 155 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (223 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ (sqrt 2) v) (* -3 (sqrt -3))) 1/32 (- (fma 1/8 (/ (/ (sqrt 2) v) (sqrt -3)) (* (* v (sqrt -3)) (* 1/4 (sqrt 2)))) (fma 1/4 (* (* (* v v) (sqrt 2)) (* v (sqrt -3))) (/ (* (sqrt 2) (* 1/8 v)) (sqrt -3)))))
* [misc]simplify:  Simplified (2) to (λ (v) (fma (/ (/ (sqrt 2) v) (* -3 (sqrt -3))) 1/32 (- (fma 1/8 (/ (/ (sqrt 2) v) (sqrt -3)) (* (* v (sqrt -3)) (* 1/4 (sqrt 2)))) (fma 1/4 (* (* (* v v) (sqrt 2)) (* v (sqrt -3))) (/ (* (sqrt 2) (* 1/8 v)) (sqrt -3))))))
* * * * [misc]progress:  [ 155 / 155 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (- (- (fma 1/8 (/ v (/ (sqrt -3) (sqrt 2))) (* (* (* 1/4 v) (sqrt 2)) (* (* v v) (sqrt -3)))) (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3))))) (* (* (* 1/4 v) (sqrt 2)) (sqrt -3)))
* [misc]simplify:  Simplified (2) to (λ (v) (- (- (fma 1/8 (/ v (/ (sqrt -3) (sqrt 2))) (* (* (* 1/4 v) (sqrt 2)) (* (* v v) (sqrt -3)))) (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3))))) (* (* (* 1/4 v) (sqrt 2)) (sqrt -3))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))> #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>)
* * * [misc]regime-changes:  Trying 3 branch expressions: (v (* v v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))
* * * * [misc]regimes:  Trying to branch on v from (#<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))> #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>)
* * * * [misc]regimes:  Trying to branch on (* v v) from (#<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))> #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>)
* * * * [misc]regimes:  Trying to branch on (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) from (#<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))> #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 0 256))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (- 1 (* (* v v) 3))) (/ (sqrt 2) 4)) (- 1 (* v v)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3970 additional inputs, on iter 1 have 4030 / 8000
* * * * [misc]points:  Computing exacts on every 248 of 3970 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 124 of 3970 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 3970 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 3970 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 3970 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 3970 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 3970 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 3970 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1976 additional inputs, on iter 2 have 6024 / 8000
* * * * [misc]points:  Computing exacts on every 123 of 1976 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 61 of 1976 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 30 of 1976 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 1976 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 1976 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 1976 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 1976 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1008 additional inputs, on iter 3 have 6992 / 8000
* * * * [misc]points:  Computing exacts on every 63 of 1008 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 1008 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 1008 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 1008 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 1008 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 1008 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 511 additional inputs, on iter 4 have 7489 / 8000
* * * * [misc]points:  Computing exacts on every 31 of 511 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 511 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 511 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 511 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 511 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 267 additional inputs, on iter 5 have 7733 / 8000
* * * * [misc]points:  Computing exacts on every 16 of 267 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 267 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 267 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 267 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 267 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 129 additional inputs, on iter 6 have 7871 / 8000
* * * * [misc]points:  Computing exacts on every 8 of 129 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 129 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 129 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 129 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 67 additional inputs, on iter 7 have 7933 / 8000
* * * * [misc]points:  Computing exacts on every 4 of 67 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 67 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 67 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 31 additional inputs, on iter 8 have 7969 / 8000
* * * * [misc]points:  Computing exacts for 31 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 9 have 7987 / 8000
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6 additional inputs, on iter 10 have 7994 / 8000
* * * * [misc]points:  Computing exacts for 6 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 11 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 12 have 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 13 have 7999 / 8000
* * * * [misc]points:  Computing exacts for 4 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 8001 points with exact outputs