* [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 125 additional inputs, on iter 1 have 131 / 256
* * * * [misc]points:  Computing exacts on every 7 of 125 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 125 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 125 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 65 additional inputs, on iter 2 have 191 / 256
* * * * [misc]points:  Computing exacts on every 4 of 65 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 65 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 65 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 34 additional inputs, on iter 3 have 222 / 256
* * * * [misc]points:  Computing exacts on every 2 of 34 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 34 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 17 additional inputs, on iter 4 have 239 / 256
* * * * [misc]points:  Computing exacts for 17 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 8 additional inputs, on iter 5 have 248 / 256
* * * * [misc]points:  Computing exacts for 8 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 5 additional inputs, on iter 6 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 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 253 / 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
* * * * [misc]points:  Sampling 4 additional inputs, on iter 8 have 255 / 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 258 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 (303 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))
* * [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)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4)))))
* [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 -3) (* (sqrt 2) v))) (* 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 -3) (* (sqrt 2) v))) (* 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 (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 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 -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (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 (252 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (- 1 (* v (* v 3)))) (/ (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 (295 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt 2) 4)) (* 1/2 (log1p (* (- 3) (* v v)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (exp (+ (log (/ (sqrt 2) 4)) (* 1/2 (log1p (* (- 3) (* v v)))))) (- 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 (336 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* (* v 3) v)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (sqrt (- 1 (* (* v 3) v))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (cbrt (* (* (- 1 (* (* v 3) v)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (sqrt (- 1 (* (* v 3) v))))) (- 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 (241 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 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 (285 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2)) (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (- 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 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) 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 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) 4)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) 2)) (* (sqrt (fma (* v v) 3 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 (166 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/3))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/3))) (- 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 (166 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/3 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (pow (- 1 (* (* v v) 3)) (* 1/3 1/2))) (- 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 (167 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))) (- 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 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* v v) 3)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (- 1 (* (* v v) 3)))) (- 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 (167 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))) (- 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 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* v v) 3)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (- 1 (* (* v v) 3)))) (- 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)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 2 (* 4 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (cbrt (/ 2 (* 4 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)
* * [misc]simplify:  iters left: 3 (103 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 (245 enodes)
* [exit]simplify:  Simplified to (hypot 1 (hypot (* v (sqrt 3)) (* (* 3 v) v)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (hypot 1 (hypot (* v (sqrt 3)) (* (* 3 v) v)))) (- 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 (148 enodes)
* [exit]simplify:  Simplified to (hypot 1 (* v (sqrt 3)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (hypot 1 (* v (sqrt 3)))) (- 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 (207 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (* 3 (* v v))) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (- 1 (* 3 (* v v))) 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 (303 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) 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 (303 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (pow (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) 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 (372 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (* 1/2 (log1p (* (* v 3) (- v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (* 1/2 (log1p (* (* v 3) (- 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 (346 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (* 1/2 (log1p (* (- 3) (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (exp (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (* 1/2 (log1p (* (- 3) (* v v)))))))
* * * * [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 (427 enodes)
* [exit]simplify:  Simplified to (* (pow (- 1 (* (* v v) 3)) (+ 1/2 1)) (* (* (/ (sqrt 2) 4) (/ 2 (* 4 4))) (pow (- 1 (* v v)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (pow (- 1 (* (* v v) 3)) (+ 1/2 1)) (* (* (/ (sqrt 2) 4) (/ 2 (* 4 4))) (pow (- 1 (* v v)) 3)))))
* * * * [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 (387 enodes)
* [exit]simplify:  Simplified to (* (* (/ 2 (* 4 4)) (- 1 (* 3 (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (pow (- 1 (* v v)) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (cbrt (* (* (/ 2 (* 4 4)) (- 1 (* 3 (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (pow (- 1 (* v v)) 3))))))
* * * * [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 (318 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (pow v (+ 3 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (pow v (+ 3 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 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 (* (* 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 (421 enodes)
* [exit]simplify:  Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (- 1 (pow v (+ 3 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 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 (341 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) (* (* 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 (341 enodes)
* [exit]simplify:  Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) (* (* (fma v v 1) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 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 (341 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (pow v (+ 3 3)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (pow v (+ 3 3))))) (* (* 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 (342 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) (* 4 (fma (* v v) (fma v v 1) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (pow v (+ 3 3))))) (* (sqrt (fma (* v v) 3 1)) (* 4 (fma (* v v) (fma v v 1) 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 (333 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (* 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 (242 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 v) v 1)) (* 4 (fma v v 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (* (sqrt (fma (* 3 v) v 1)) (* 4 (fma v v 1)))))
* * * * [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 (363 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (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 (+ (* 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 (378 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (fma (* v v) (fma v v 1) 1))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) (* (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (fma (* v v) (fma v v 1) 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 (386 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 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)))))) (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (299 enodes)
* [exit]simplify:  Simplified to (* (fma v v 1) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (* (fma v v 1) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 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 (386 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))) (* (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 (299 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (* (sqrt 3) v)) (fma (* v v) (fma v v 1) 1))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))) (* (hypot 1 (* (sqrt 3) v)) (fma (* v v) (fma v v 1) 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 (378 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (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 (201 enodes)
* [exit]simplify:  Simplified to (* (fma v v 1) (hypot 1 (* v (sqrt 3))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) (* (fma v v 1) (hypot 1 (* v (sqrt 3))))))
* * * * [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 (291 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* 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 (230 enodes)
* [exit]simplify:  Simplified to (* 4 (fma (* v v) (fma v v 1) 1))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))) (* 4 (fma (* v v) (fma v v 1) 1))))
* * * * [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 (306 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* 4 (+ 1 (* v v)))))
* [enter]simplify:  Simplifying (* 4 (+ 1 (* v v)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* [exit]simplify:  Simplified to (* 4 (fma v v 1))
* [misc]simplify:  Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* v v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* 4 (fma v v 1))))
* * * * [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 (301 enodes)
* [exit]simplify:  Simplified to (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
* * * * [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 (301 enodes)
* [exit]simplify:  Simplified to (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
* * * * [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 (301 enodes)
* [exit]simplify:  Simplified to (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))))
* * * * [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 (301 enodes)
* [exit]simplify:  Simplified to (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))
* [misc]simplify:  Simplified (2 2) to (λ (v) (+ (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (* (- v) v) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))))
* * * * [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 (107 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 (109 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 (90 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)
* * [misc]simplify:  iters left: 2 (84 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 (185 enodes)
* [exit]simplify:  Simplified to (fma (* v v) (fma v v 1) 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 (* v v) (fma v v 1) 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 (89 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 (291 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))) (* 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 (306 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (* v v)))) (* 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 (336 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (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 (351 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (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 (258 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) 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 (99 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 (99 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 (99 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)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (346 enodes)
* [exit]simplify:  Simplified to (- (* 1/4 (sqrt 2)) (fma 9/32 (* (pow v 4) (sqrt 2)) (* (* (sqrt 2) 3/8) (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (- (* 1/4 (sqrt 2)) (fma 9/32 (* (pow v 4) (sqrt 2)) (* (* (sqrt 2) 3/8) (* v v)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 85 / 89 ] simplifiying candidate #<alt (λ (v) (* (- (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 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 -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (481 enodes)
* [exit]simplify:  Simplified to (- (fma (* 1/4 (sqrt -3)) (* v (sqrt 2)) (* (/ 1/8 v) (/ (sqrt 2) (sqrt -3)))) (/ (* 1/32 (sqrt 2)) (pow (* (sqrt -3) v) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (- (fma (* 1/4 (sqrt -3)) (* v (sqrt 2)) (* (/ 1/8 v) (/ (sqrt 2) (sqrt -3)))) (/ (* 1/32 (sqrt 2)) (pow (* (sqrt -3) v) 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 -3) (* (sqrt 2) v))) (* 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 -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (482 enodes)
* [exit]simplify:  Simplified to (- (/ (* 1/32 (sqrt 2)) (pow (* v (sqrt -3)) 3)) (fma (* 1/4 (sqrt -3)) (* (sqrt 2) v) (* (/ 1/8 (sqrt -3)) (/ (sqrt 2) v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (- (/ (* 1/32 (sqrt 2)) (pow (* v (sqrt -3)) 3)) (fma (* 1/4 (sqrt -3)) (* (sqrt 2) v) (* (/ 1/8 (sqrt -3)) (/ (sqrt 2) v)))) (- 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 (345 enodes)
* [exit]simplify:  Simplified to (- (fma (* (pow v 4) (sqrt 2)) 3/32 (* 1/4 (sqrt 2))) (* (* 5/8 (* v v)) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (v) (- (fma (* (pow v 4) (sqrt 2)) 3/32 (* 1/4 (sqrt 2))) (* (* 5/8 (* v v)) (sqrt 2))))
* * * * [misc]progress:  [ 88 / 89 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3)))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (* (* 1/4 (sqrt 2)) (* v (sqrt -3))) (/ (* 1/8 (sqrt 2)) (* v (sqrt -3)))) (/ (* 1/32 (sqrt 2)) (* (* (sqrt -3) -3) v))) (fma 1/8 (/ (sqrt 2) (/ (sqrt -3) v)) (* (* 1/4 (sqrt -3)) (* (pow v 3) (sqrt 2)))))
* [misc]simplify:  Simplified (2) to (λ (v) (- (+ (+ (* (* 1/4 (sqrt 2)) (* v (sqrt -3))) (/ (* 1/8 (sqrt 2)) (* v (sqrt -3)))) (/ (* 1/32 (sqrt 2)) (* (* (sqrt -3) -3) v))) (fma 1/8 (/ (sqrt 2) (/ (sqrt -3) v)) (* (* 1/4 (sqrt -3)) (* (pow v 3) (sqrt 2))))))
* * * * [misc]progress:  [ 89 / 89 ] simplifiying candidate #<alt (λ (v) (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (sqrt -3))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (sqrt -3)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* [exit]simplify:  Simplified to (- (fma 1/8 (/ (sqrt 2) (/ (sqrt -3) v)) (* (* 1/4 (sqrt -3)) (* (pow v 3) (sqrt 2)))) (fma 1/32 (/ (sqrt 2) (* v (* (sqrt -3) -3))) (fma 1/8 (/ (sqrt 2) (* v (sqrt -3))) (* (* 1/4 v) (sqrt (* 2 -3))))))
* [misc]simplify:  Simplified (2) to (λ (v) (- (fma 1/8 (/ (sqrt 2) (/ (sqrt -3) v)) (* (* 1/4 (sqrt -3)) (* (pow v 3) (sqrt 2)))) (fma 1/32 (/ (sqrt 2) (* v (* (sqrt -3) -3))) (fma 1/8 (/ (sqrt 2) (* v (sqrt -3))) (* (* 1/4 v) (sqrt (* 2 -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 (- 1 (* 3 (* v v)))))) (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 1 2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 1)
* * * [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 (- 1 (* 3 (* v v)))))) (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)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* 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]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) 1) 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 (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) 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 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 (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 (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) 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)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) in v
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* 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]backup-simplify:  Simplify (* (* 1/4 (sqrt 2)) 1) 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 (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) 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 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 (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 (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0
* [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 (* 1/2 (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 (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (* 3/8 (sqrt 2))) (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -3/8 (sqrt (sqrt 2)))
* [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))) (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -3/8 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* -3/8 (sqrt (sqrt 2)))) (+ (* 0 0) (* (* -3/8 (sqrt (sqrt 2))) (* 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 (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* -3/8 (sqrt (sqrt 2))))))) (* 2 (* 1/2 (sqrt (sqrt 2))))) 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 (/ (- 0 (+ (* 2 (* 0 (* -3/8 (sqrt (sqrt 2))))))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (* -3/8 (sqrt (sqrt 2)))) (+ (* (* -3/8 (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 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))) (pow (* -3/8 (sqrt (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -27/64 (sqrt (sqrt 2)))
* [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))) (pow (* -3/8 (sqrt (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -27/64 (sqrt (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* -27/64 (sqrt (sqrt 2)))) (+ (* 0 0) (+ (* (* -3/8 (sqrt (sqrt 2))) (* -3/8 (sqrt (sqrt 2)))) (+ (* 0 0) (* (* -27/64 (sqrt (sqrt 2))) (* 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)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) (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))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))))) in v
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))))) in v
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (sqrt 2) (sqrt -3))) 0)) into 0
* [misc]backup-simplify:  Simplify 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 (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 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 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 0))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))
* [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))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))
* [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))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))) 0)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 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 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [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 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)))))) 0))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)))))) (pow (/ 1 v) 2)) (+ (* (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) (/ 1 v)) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)) v)) (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)) (pow v 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2) 2) (pow v 2))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) (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)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [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 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (sqrt 2) (sqrt -3))) 0)) into 0
* [misc]backup-simplify:  Simplify 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 (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 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 (sqrt -3))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 0))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -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))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 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 (- (+ (* -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))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))) 0)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 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 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (- (* 1/8 (/ (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)))))) 0))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)))))) (pow (/ 1 (- v)) 2)) (+ (* (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) (/ 1 (- v))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)) v)) (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)) (pow v 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2) 2) (pow v 2))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 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:  [ 3 / 4 ] generating series at (2 1 1 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:  [ 4 / 4 ] generating series at (2 1 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)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4)))))
* [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 -3) (* (sqrt 2) v))) (* 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 -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 125 ] simplifiying candidate #<alt (λ (v) (* (log1p (expm1 (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 2 / 125 ] simplifiying candidate #<alt (λ (v) (* (expm1 (log1p (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 3 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1/2 1/2)) (- 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 (252 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)) (+ 1/2 1/2)) (- 1 (* v v))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (pow (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1/2 1/2)) (- 1 (* v v))))
* * * * [misc]progress:  [ 4 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (+ 1 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 (271 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4))) (+ 1 1)) (- 1 (* v v))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (pow (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 5 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 1/2) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (* (- 1 (* 3 (* v v))) (/ 2 (* 4 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (- 1 (* 3 (* v v))) (/ 2 (* 4 4))) 1/2) (- 1 (* v v))))
* * * * [misc]progress:  [ 6 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (288 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) 1) (- 1 (* v v))))
* * * * [misc]progress:  [ 7 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 2) (- 1 (* v v))))>
* * * * [misc]progress:  [ 8 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (+ 1 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 (271 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (pow (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4))) (+ 1 1)) (- 1 (* v v))))
* * * * [misc]progress:  [ 9 / 125 ] simplifiying candidate #<alt (λ (v) (* (pow (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) 1) (- 1 (* v v))))>
* * * * [misc]progress:  [ 10 / 125 ] simplifiying candidate #<alt (λ (v) (* (exp (+ (log (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (log (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (log (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (314 enodes)
* [exit]simplify:  Simplified to (/ 0 0)
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (exp (/ 0 0)) (- 1 (* v v))))
* * * * [misc]progress:  [ 11 / 125 ] simplifiying candidate #<alt (λ (v) (* (exp (log (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 12 / 125 ] simplifiying candidate #<alt (λ (v) (* (log (exp (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 13 / 125 ] simplifiying candidate #<alt (λ (v) (* (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))))))) (* (* (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 (- 1 (* 3 (* v v)))))) (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)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (331 enodes)
* [exit]simplify:  Simplified to (pow (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (cbrt (pow (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)) 3)) (- 1 (* v v))))
* * * * [misc]progress:  [ 14 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (* (cbrt (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (cbrt (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (cbrt (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 15 / 125 ] simplifiying candidate #<alt (λ (v) (* (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)))))) (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:  [ 16 / 125 ] simplifiying candidate #<alt (λ (v) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (* (- 1 (* 3 (* v v))) (/ 2 (* 4 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (sqrt (* (- 1 (* 3 (* v v))) (/ 2 (* 4 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 17 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 18 / 125 ] 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)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) 4)
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (/ (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 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* v v) 3)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 19 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (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)))))))) (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))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (277 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2)) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (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)))))))) (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 (321 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (fma (* v (* 3 v)) (fma 3 (* v v) 1) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2)) (* 4 (sqrt (fma (* v (* 3 v)) (fma 3 (* v v) 1) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 20 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (419 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (- 1 (pow (* (* 3 v) v) 3)) 2) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (pow (* (* 3 v) v) 3)) 2) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2)))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ 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)))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* 4 (hypot 1 (hypot (* (* 3 v) v) (* v (sqrt 3))))) (* (hypot 1 (* v (sqrt 3))) 4)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (pow (* (* 3 v) v) 3)) 2) (* (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) 2)))) (sqrt (* (* 4 (hypot 1 (hypot (* (* 3 v) v) (* v (sqrt 3))))) (* (hypot 1 (* v (sqrt 3))) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 21 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (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)))))))) (sqrt (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))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (367 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (- 1 (pow (* v (* 3 v)) 3)) 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (/ (* (- 1 (pow (* v (* 3 v)) 3)) 2) 4)) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (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)))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (344 enodes)
* [exit]simplify:  Simplified to (sqrt (* 4 (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (/ (* (- 1 (pow (* v (* 3 v)) 3)) 2) 4)) (sqrt (* 4 (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 22 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (464 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (* (- 1 (pow (* (* 3 v) v) 3)) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (* (- 1 (pow (* (* 3 v) v) 3)) 2)))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ 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)))))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (390 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (hypot (* 3 (* v v)) (* (sqrt 3) v))) (* 4 (sqrt (fma 3 (* v v) 1)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))) (sqrt (* (- 1 (pow (* (* 3 v) v) 3)) 2)))) (sqrt (* (hypot 1 (hypot (* 3 (* v v)) (* (sqrt 3) v))) (* 4 (sqrt (fma 3 (* v v) 1)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 23 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (- 1 (pow (* v (* 3 v)) 3)) 2) (* (- 1 (* v (* 3 v))) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (pow (* v (* 3 v)) 3)) 2) (* (- 1 (* v (* 3 v))) 2)))) (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt 4))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt 4))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (344 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (pow (* v (* 3 v)) 3)) 2) (* (- 1 (* v (* 3 v))) 2)))) (* 4 (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 24 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* 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 (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (420 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) (* (- 1 (pow (* 3 (* v v)) 3)) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) (* (- 1 (pow (* 3 (* v v)) 3)) 2)))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (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 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (hypot 1 (hypot (* (sqrt 3) v) (* v (* 3 v)))) 4) (* (sqrt (fma (* 3 v) v 1)) 4)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) (* (- 1 (pow (* 3 (* v v)) 3)) 2)))) (sqrt (* (* (hypot 1 (hypot (* (sqrt 3) v) (* v (* 3 v)))) 4) (* (sqrt (fma (* 3 v) v 1)) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 25 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 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))))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (290 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2)) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (223 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) 4)
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2)) (* (sqrt (fma (* v v) 3 1)) 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 26 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (465 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (392 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (sqrt (fma (* 3 v) v 1)) 4) (hypot 1 (hypot (* 3 (* v v)) (* (sqrt 3) v)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2)))) (sqrt (* (* (sqrt (fma (* 3 v) v 1)) 4) (hypot 1 (hypot (* 3 (* v v)) (* (sqrt 3) v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 27 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (/ (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) 4)) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (246 enodes)
* [exit]simplify:  Simplified to (sqrt (* 4 (fma (* 3 v) v 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (/ (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) 4)) (sqrt (* 4 (fma (* 3 v) v 1)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 28 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) (* (- 1 (* 3 (* v v))) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) (* (- 1 (* 3 (* v v))) 2)))) (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (246 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (sqrt (fma (* 3 v) v 1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2) (* (- 1 (* 3 (* v v))) 2)))) (* 4 (sqrt (sqrt (fma (* 3 v) v 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 29 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* 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 (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (367 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* 2 (- 1 (pow (* (* v v) 3) 3))) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (/ (* 2 (- 1 (pow (* (* v v) 3) 3))) 4)) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* 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 (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (343 enodes)
* [exit]simplify:  Simplified to (sqrt (* (fma (* 3 (* v v)) (fma (* v v) 3 1) 1) 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (/ (* 2 (- 1 (pow (* (* v v) 3) 3))) 4)) (sqrt (* (fma (* 3 (* v v)) (fma (* v v) 3 1) 1) 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 30 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (464 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) 2)) (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (sqrt (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) 2)) (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (sqrt 2))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (389 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (hypot (* v (sqrt 3)) (* 3 (* v v)))) (* 4 (sqrt (fma (* v v) 3 1)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (sqrt (* (- 1 (* (* (* v v) 3) (* (* v v) 3))) 2)) (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (sqrt 2))))) (sqrt (* (hypot 1 (hypot (* v (sqrt 3)) (* 3 (* v v)))) (* 4 (sqrt (fma (* v v) 3 1)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 31 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (322 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (sqrt 2) 4)) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (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 (280 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* v (* 3 v)) (fma (* v v) 3 1) 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (sqrt 2) 4)) (sqrt (fma (* v (* 3 v)) (fma (* v v) 3 1) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 32 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (464 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (sqrt 2) 4)))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (349 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (fma (* v v) 3 1)) (hypot 1 (hypot (* v (sqrt 3)) (* v (* 3 v))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))) (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (fma (* v v) 3 1)) (hypot 1 (hypot (* v (sqrt 3)) (* v (* 3 v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 33 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (sqrt (* (- 1 (* (* v v) 3)) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (sqrt (* (- 1 (* (* v v) 3)) 2))))) (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt 4))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt 4))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (322 enodes)
* [exit]simplify:  Simplified to (* (pow (fma (* v (* 3 v)) (fma (* v v) 3 1) 1) (* 1/2 1/2)) (sqrt 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (sqrt (* (- 1 (* (* v v) 3)) 2))))) (* (pow (fma (* v (* 3 v)) (fma (* v v) 3 1) 1) (* 1/2 1/2)) (sqrt 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 34 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt (sqrt (+ 1 (* 3 (* 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 (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (465 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (* (- 1 (pow (* (* v v) 3) 3)) 2)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (sqrt (* (- 1 (pow (* (* v v) 3) 3)) 2)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)))) (* (sqrt (sqrt (+ 1 (* 3 (* 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 (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (390 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (sqrt (fma (* v v) 3 1)) 4) (hypot 1 (hypot (* v (* v 3)) (* (sqrt 3) v)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (sqrt (* (- 1 (pow (* (* v v) 3) 3)) 2)) (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (sqrt 2) 4)))) (sqrt (* (* (sqrt (fma (* v v) 3 1)) 4) (hypot 1 (hypot (* v (* v 3)) (* (sqrt 3) v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 35 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* 2 (- 1 (* (* (* v v) 3) (* (* v v) 3)))) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (/ (* 2 (- 1 (* (* (* v v) 3) (* (* v v) 3)))) 4)) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (246 enodes)
* [exit]simplify:  Simplified to (sqrt (* (fma (* v 3) v 1) 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (/ (* 2 (- 1 (* (* (* v v) 3) (* (* v v) 3)))) 4)) (sqrt (* (fma (* v 3) v 1) 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 36 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (465 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (sqrt 2))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (350 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (hypot (* (* v 3) v) (* (sqrt 3) v))) (hypot 1 (* (sqrt 3) v))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (sqrt 2))))) (sqrt (* (hypot 1 (hypot (* (* v 3) v) (* (sqrt 3) v))) (hypot 1 (* (sqrt 3) v))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 37 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (335 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (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))))) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (183 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* v v) 3 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (sqrt 2) 4)) (sqrt (fma (* v v) 3 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 38 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (428 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (sqrt (* (- 1 (* (* v 3) v)) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (sqrt (* (- 1 (* (* v 3) v)) 2))))) (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt 4))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt 4))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (225 enodes)
* [exit]simplify:  Simplified to (* (sqrt 4) (pow (fma (* v v) 3 1) (* 1/2 1/2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (sqrt (* (- 1 (* (* v 3) v)) 2))))) (* (sqrt 4) (pow (fma (* v v) 3 1) (* 1/2 1/2)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 39 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (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 (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (369 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (- 1 (* 3 (* v v))) 2) (* 2 (- 1 (pow (* 3 (* v v)) 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* 3 (* v v))) 2) (* 2 (- 1 (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 4) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (343 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (sqrt (fma (* (* v 3) v) (fma 3 (* v v) 1) 1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* 3 (* v v))) 2) (* 2 (- 1 (pow (* 3 (* v v)) 3)))))) (* 4 (sqrt (sqrt (fma (* (* v 3) v) (fma 3 (* v v) 1) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 40 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (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 (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (* (- 1 (* 3 (* v v))) 2) (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* 3 (* v v))) 2) (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (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 (12 enodes)
* * [misc]simplify:  iters left: 5 (246 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (hypot 1 (* v (sqrt 3)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (sqrt (* (* (- 1 (* 3 (* v v))) 2) (* 2 (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) (* 4 (sqrt (hypot 1 (* v (sqrt 3)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 41 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (* (sqrt 4) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (sqrt 2))) (sqrt (* (- 1 (* 3 (* v v))) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (sqrt 2))) (sqrt (* (- 1 (* 3 (* v v))) 2)))) (* (sqrt 4) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (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 (322 enodes)
* [exit]simplify:  Simplified to (* (pow (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1) (* 1/2 1/2)) (sqrt 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (sqrt 2))) (sqrt (* (- 1 (* 3 (* v v))) 2)))) (* (pow (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1) (* 1/2 1/2)) (sqrt 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 42 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (* (sqrt 4) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (429 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (sqrt (* (- 1 (* 3 (* v v))) 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (* (sqrt (* (- 1 (* 3 (* v v))) 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (sqrt 2) 4))) (* (sqrt 4) (sqrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt (sqrt (+ 1 (* 3 (* v v))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (225 enodes)
* [exit]simplify:  Simplified to (* (pow (fma (* 3 v) v 1) (* 1/2 1/2)) (sqrt 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (* (sqrt (* (- 1 (* 3 (* v v))) 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) (/ (sqrt 2) 4))) (* (pow (fma (* 3 v) v 1) (* 1/2 1/2)) (sqrt 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 43 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt 4) (sqrt 4))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (245 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (* 3 (* v v))) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (- 1 (* 3 (* v v))) 2)) (* (sqrt 4) (sqrt 4))) (- 1 (* v v))))
* [enter]simplify:  Simplifying (* (sqrt 4) (sqrt 4))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to 4
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (sqrt (* (- 1 (* 3 (* v v))) 2)) 4) (- 1 (* v v))))
* * * * [misc]progress:  [ 44 / 125 ] simplifiying candidate #<alt (λ (v) (* (* 1 (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 45 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (* (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))))))))) (cbrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (288 enodes)
* [exit]simplify:  Simplified to (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (* 1/2 1/3))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (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))))))))) (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (* 1/2 1/3))) (- 1 (* v v))))
* * * * [misc]progress:  [ 46 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt 2) 4))) (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 (167 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt 2) 4))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))) (- 1 (* v v))))
* * * * [misc]progress:  [ 47 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (sqrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (289 enodes)
* [exit]simplify:  Simplified to (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (* 1/2 1/2))) (- 1 (* v v))))
* * * * [misc]progress:  [ 48 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 1) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 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 (271 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) 1) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 49 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (* (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))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (308 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (cbrt (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4))) (* (cbrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 50 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (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)
* * [misc]simplify:  iters left: 3 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 51 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (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 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (289 enodes)
* [exit]simplify:  Simplified to (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (* (pow (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (* 1/2 1/2)) (* (sqrt (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 52 / 125 ] simplifiying candidate #<alt (λ (v) (* (* 1 (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 53 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (304 enodes)
* [exit]simplify:  Simplified to (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 54 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (206 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (fma (* v v) 3 1)) 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (sqrt (* (sqrt (fma (* v v) 3 1)) 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 55 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (263 enodes)
* [exit]simplify:  Simplified to (pow (fma (* 3 (* v v)) (fma (* v v) 3 1) 1) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))))) (pow (fma (* 3 (* v v)) (fma (* v v) 3 1) 1) (* 1/2 1/2))) (- 1 (* v v))))
* * * * [misc]progress:  [ 56 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 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 (166 enodes)
* [exit]simplify:  Simplified to (pow (fma (* v 3) v 1) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) (pow (fma (* v 3) v 1) (* 1/2 1/2))) (- 1 (* v v))))
* * * * [misc]progress:  [ 57 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))))) (sqrt 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 58 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* 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 (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (sqrt 2) (/ (sqrt (- 1 (* v (* 3 v)))) (/ 4 (sqrt 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (sqrt 2) (/ (sqrt (- 1 (* v (* 3 v)))) (/ 4 (sqrt 2)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 59 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 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))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (427 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (sqrt (* (- 1 (* (* 3 (* v v)) (* 3 (* v v)))) 2)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 60 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* 3 v))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* 3 v)))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 61 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (428 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3)))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 62 / 125 ] simplifiying candidate #<alt (λ (v) (* (/ (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (sqrt 4)) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* (sqrt (* (sqrt 2) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (- 1 (* 3 (* v v))) 2) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (v) (* (/ (sqrt (/ (* (- 1 (* 3 (* v v))) 2) 4)) (sqrt 4)) (- 1 (* v v))))
* * * * [misc]progress:  [ 63 / 125 ] 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:  [ 64 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (log1p (expm1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 65 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (expm1 (log1p (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 66 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1)))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 67 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (log (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 68 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 69 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) (cbrt (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 70 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 71 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 72 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 73 / 125 ] 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:  [ 74 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 75 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (log1p (expm1 (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 76 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (expm1 (log1p (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 77 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (pow (* 3 (* v v)) 1))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 78 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (exp (log (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 79 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 80 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) (cbrt (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 81 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (cbrt (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 82 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v)))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 83 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 1 (* 3 (* v v))))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 84 / 125 ] 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:  [ 85 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 86 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (log1p (expm1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 87 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (expm1 (log1p (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 88 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (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 (252 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (pow (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)) 1))) (- 1 (* v v))))
* * * * [misc]progress:  [ 89 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (pow (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 90 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (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 (295 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt 2) 4)) (* 1/2 (log1p (* (- 3) (* v v)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (exp (+ (log (/ (sqrt 2) 4)) (* 1/2 (log1p (* (- 3) (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 91 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (exp (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 92 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (log (exp (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 93 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (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 (336 enodes)
* [exit]simplify:  Simplified to (* (* (- 1 (* (* v 3) v)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (sqrt (- 1 (* (* v 3) v))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (cbrt (* (* (- 1 (* (* v 3) v)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (sqrt (- 1 (* (* v 3) v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 94 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (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:  [ 95 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (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:  [ 96 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 97 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (* (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 (241 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 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 (285 enodes)
* [exit]simplify:  Simplified to (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (* (- 1 (pow (* v (* 3 v)) 3)) 2)) (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 98 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (* (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 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) 2))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) 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 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (* v v) 3 1)) 4)
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (* (- 1 (* (* (* v 3) v) (* (* v 3) v))) 2)) (* (sqrt (fma (* v v) 3 1)) 4)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 99 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 100 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (166 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/3))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 101 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (166 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/3 1/2))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (pow (- 1 (* (* v v) 3)) (* 1/3 1/2))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 102 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (167 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 103 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* v v) 3)))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 104 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (167 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (pow (- 1 (* (* v v) 3)) (* 1/2 1/2))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 105 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* v v) 3)))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) 1) (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 106 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (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)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 2 (* 4 4)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (cbrt (/ 2 (* 4 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 107 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (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))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt 2) 4))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt 2) 4))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (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:  [ 108 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 109 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (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 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 110 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (245 enodes)
* [exit]simplify:  Simplified to (hypot 1 (hypot (* v (sqrt 3)) (* (* 3 v) v)))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (hypot 1 (hypot (* v (sqrt 3)) (* (* 3 v) v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 111 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (148 enodes)
* [exit]simplify:  Simplified to (hypot 1 (* v (sqrt 3)))
* [misc]simplify:  Simplified (2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (hypot 1 (* v (sqrt 3)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 112 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (* (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 (207 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1 (* 3 (* v v))) 2))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (* (- 1 (* 3 (* v v))) 2)) 4))) (- 1 (* v v))))
* * * * [misc]progress:  [ 113 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)))) (- 1 (* v v))))>
* * * * [misc]progress:  [ 114 / 125 ] simplifiying candidate #<alt (λ (v) (* (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (346 enodes)
* [exit]simplify:  Simplified to (- (* 1/4 (sqrt 2)) (fma 9/32 (* (pow v 4) (sqrt 2)) (* (* (sqrt 2) 3/8) (* v v))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* (- (* 1/4 (sqrt 2)) (fma 9/32 (* (pow v 4) (sqrt 2)) (* (* (sqrt 2) 3/8) (* v v)))) (- 1 (* v v))))
* * * * [misc]progress:  [ 115 / 125 ] simplifiying candidate #<alt (λ (v) (* (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)) v)) (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)) (pow v 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2) 2) (pow v 2))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)) v)) (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)) (pow v 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2) 2) (pow v 2))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* +nan.0 (- 1 (* v v))))
* * * * [misc]progress:  [ 116 / 125 ] simplifiying candidate #<alt (λ (v) (* (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)) v)) (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)) (pow v 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2) 2) (pow v 2))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)) v)) (- (+ (* +nan.0 (/ (* (pow (sqrt 2) 4) (pow (sqrt -3) 4)) (pow v 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2) 2) (pow v 2))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))))))
* [misc]simplify:  Simplified (2 1) to (λ (v) (* +nan.0 (- 1 (* v v))))
* * * * [misc]progress:  [ 117 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (99 enodes)
* [exit]simplify:  Simplified to (* v (* v 3))
* [misc]simplify:  Simplified (2 1 2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 118 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (99 enodes)
* [exit]simplify:  Simplified to (* v (* v 3))
* [misc]simplify:  Simplified (2 1 2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 119 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (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 (99 enodes)
* [exit]simplify:  Simplified to (* v (* v 3))
* [misc]simplify:  Simplified (2 1 2 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 120 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (* v (* v 3))
* [misc]simplify:  Simplified (2 1 1 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 121 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (* v (* v 3))
* [misc]simplify:  Simplified (2 1 1 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 122 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (* 3 (pow v 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (* v (* v 3))
* [misc]simplify:  Simplified (2 1 1 1 2 1 2) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 123 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4))))))) (- 1 (* v v))))>
* [enter]simplify:  Simplifying (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (346 enodes)
* [exit]simplify:  Simplified to (- (* 1/4 (sqrt 2)) (fma 9/32 (* (pow v 4) (sqrt 2)) (* (* (sqrt 2) 3/8) (* v v))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (* 1/4 (sqrt 2)) (fma 9/32 (* (pow v 4) (sqrt 2)) (* (* (sqrt 2) 3/8) (* v v)))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 124 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 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 -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (481 enodes)
* [exit]simplify:  Simplified to (- (fma (* 1/4 (sqrt -3)) (* v (sqrt 2)) (* (/ 1/8 v) (/ (sqrt 2) (sqrt -3)))) (/ (* 1/32 (sqrt 2)) (pow (* (sqrt -3) v) 3)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (fma (* 1/4 (sqrt -3)) (* v (sqrt 2)) (* (/ 1/8 v) (/ (sqrt 2) (sqrt -3)))) (/ (* 1/32 (sqrt 2)) (pow (* (sqrt -3) v) 3))))) (- 1 (* v v))))
* * * * [misc]progress:  [ 125 / 125 ] simplifiying candidate #<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 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 -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (482 enodes)
* [exit]simplify:  Simplified to (- (/ (* 1/32 (sqrt 2)) (pow (* v (sqrt -3)) 3)) (fma (* 1/4 (sqrt -3)) (* (sqrt 2) v) (* (/ 1/8 (sqrt -3)) (/ (sqrt 2) v))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (/ (* 1/32 (sqrt 2)) (pow (* v (sqrt -3)) 3)) (fma (* 1/4 (sqrt -3)) (* (sqrt 2) v) (* (/ 1/8 (sqrt -3)) (/ (sqrt 2) v)))))) (- 1 (* v v))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (v) (* (* (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v))))> #<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) +nan.0)) , with alts (#<alt (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))>)
* [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 (* 3 (* v v)))) (/ (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 4045 additional inputs, on iter 1 have 3955 / 8000
* * * * [misc]points:  Computing exacts on every 252 of 4045 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 126 of 4045 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 63 of 4045 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 4045 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 4045 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 4045 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 4045 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 4045 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 2034 additional inputs, on iter 2 have 5966 / 8000
* * * * [misc]points:  Computing exacts on every 127 of 2034 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 63 of 2034 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 2034 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 2034 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 2034 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 2034 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 2034 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 1014 additional inputs, on iter 3 have 6986 / 8000
* * * * [misc]points:  Computing exacts on every 63 of 1014 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 1014 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 1014 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 1014 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 1014 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 1014 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 507 additional inputs, on iter 4 have 7493 / 8000
* * * * [misc]points:  Computing exacts on every 31 of 507 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 507 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 507 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 507 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 507 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 251 additional inputs, on iter 5 have 7749 / 8000
* * * * [misc]points:  Computing exacts on every 15 of 251 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 251 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 251 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 251 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 125 additional inputs, on iter 6 have 7875 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 125 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 125 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 125 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 60 additional inputs, on iter 7 have 7940 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 60 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 60 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 34 additional inputs, on iter 8 have 7966 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 34 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 34 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 18 additional inputs, on iter 9 have 7982 / 8000
* * * * [misc]points:  Computing exacts for 18 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 12 additional inputs, on iter 10 have 7988 / 8000
* * * * [misc]points:  Computing exacts for 12 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 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 8002 points with exact outputs