0.001 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.119 * * * [progress]: [2/2] Setting up program.
0.125 * [progress]: [Phase 2 of 3] Improving.
0.125 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))))>
0.125 * [simplify]: Simplifying (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
0.126 * * [simplify]: iteration 1: (14 enodes)
0.135 * * [simplify]: iteration 2: (57 enodes)
0.154 * * [simplify]: iteration 3: (72 enodes)
0.175 * * [simplify]: iteration 4: (80 enodes)
0.196 * * [simplify]: iteration 5: (86 enodes)
0.218 * * [simplify]: iteration 6: (88 enodes)
0.240 * * [simplify]: Extracting #0: cost 1 inf + 0
0.240 * * [simplify]: Extracting #1: cost 3 inf + 0
0.240 * * [simplify]: Extracting #2: cost 7 inf + 0
0.240 * * [simplify]: Extracting #3: cost 16 inf + 1
0.240 * * [simplify]: Extracting #4: cost 20 inf + 45
0.240 * * [simplify]: Extracting #5: cost 22 inf + 87
0.241 * * [simplify]: Extracting #6: cost 27 inf + 128
0.241 * * [simplify]: Extracting #7: cost 25 inf + 213
0.241 * * [simplify]: Extracting #8: cost 18 inf + 867
0.252 * * [simplify]: Extracting #9: cost 5 inf + 4235
0.255 * * [simplify]: Extracting #10: cost 0 inf + 5695
0.257 * * [simplify]: Extracting #11: cost 0 inf + 5693
0.259 * [simplify]: Simplified to (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))
0.272 * * [progress]: iteration 1 / 4
0.272 * * * [progress]: picking best candidate
0.278 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.278 * * * [progress]: localizing error
0.321 * * * [progress]: generating rewritten candidates
0.321 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.373 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
0.383 * * * [progress]: generating series expansions
0.383 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.384 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
0.384 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
0.384 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.384 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.384 * [taylor]: Taking taylor expansion of x in p
0.384 * [backup-simplify]: Simplify x into x
0.384 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.384 * [taylor]: Taking taylor expansion of 4 in p
0.384 * [backup-simplify]: Simplify 4 into 4
0.384 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.384 * [taylor]: Taking taylor expansion of p in p
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.384 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.384 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.384 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.385 * [taylor]: Taking taylor expansion of x in x
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.385 * [taylor]: Taking taylor expansion of 4 in x
0.385 * [backup-simplify]: Simplify 4 into 4
0.385 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.385 * [taylor]: Taking taylor expansion of p in x
0.386 * [backup-simplify]: Simplify p into p
0.386 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.386 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.386 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.386 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.386 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.387 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.388 * [taylor]: Taking taylor expansion of x in x
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.388 * [taylor]: Taking taylor expansion of 4 in x
0.388 * [backup-simplify]: Simplify 4 into 4
0.388 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.388 * [taylor]: Taking taylor expansion of p in x
0.388 * [backup-simplify]: Simplify p into p
0.388 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.388 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.388 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.388 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.388 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.389 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.390 * [taylor]: Taking taylor expansion of (* 2 p) in p
0.390 * [taylor]: Taking taylor expansion of 2 in p
0.390 * [backup-simplify]: Simplify 2 into 2
0.390 * [taylor]: Taking taylor expansion of p in p
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* 2 0) into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [taylor]: Taking taylor expansion of 0 in p
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.392 * [backup-simplify]: Simplify 2 into 2
0.392 * [backup-simplify]: Simplify (* 1 1) into 1
0.393 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.394 * [backup-simplify]: Simplify (+ 1 0) into 1
0.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
0.395 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
0.395 * [taylor]: Taking taylor expansion of 1/4 in p
0.395 * [backup-simplify]: Simplify 1/4 into 1/4
0.395 * [taylor]: Taking taylor expansion of p in p
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
0.402 * [taylor]: Taking taylor expansion of 0 in p
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
0.404 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.404 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.405 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.405 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.405 * [taylor]: Taking taylor expansion of 4 in p
0.405 * [backup-simplify]: Simplify 4 into 4
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.405 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.405 * [taylor]: Taking taylor expansion of p in p
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.406 * [taylor]: Taking taylor expansion of x in p
0.406 * [backup-simplify]: Simplify x into x
0.406 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.407 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.407 * [backup-simplify]: Simplify (* 4 1) into 4
0.408 * [backup-simplify]: Simplify (+ 4 0) into 4
0.408 * [backup-simplify]: Simplify (sqrt 4) into 2
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.412 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.412 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.412 * [taylor]: Taking taylor expansion of 4 in x
0.412 * [backup-simplify]: Simplify 4 into 4
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.412 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.412 * [taylor]: Taking taylor expansion of p in x
0.412 * [backup-simplify]: Simplify p into p
0.412 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.412 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.412 * [taylor]: Taking taylor expansion of x in x
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.414 * [backup-simplify]: Simplify (/ 1 1) into 1
0.414 * [backup-simplify]: Simplify (+ 0 1) into 1
0.414 * [backup-simplify]: Simplify (sqrt 1) into 1
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.417 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.417 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.417 * [taylor]: Taking taylor expansion of 4 in x
0.418 * [backup-simplify]: Simplify 4 into 4
0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.418 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.418 * [taylor]: Taking taylor expansion of p in x
0.418 * [backup-simplify]: Simplify p into p
0.418 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.418 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.418 * [taylor]: Taking taylor expansion of x in x
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (* 1 1) into 1
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [backup-simplify]: Simplify (+ 0 1) into 1
0.420 * [backup-simplify]: Simplify (sqrt 1) into 1
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.423 * [taylor]: Taking taylor expansion of 1 in p
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [taylor]: Taking taylor expansion of 0 in p
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.427 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.427 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.427 * [taylor]: Taking taylor expansion of 2 in p
0.427 * [backup-simplify]: Simplify 2 into 2
0.427 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.428 * [taylor]: Taking taylor expansion of p in p
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (* 1 1) into 1
0.429 * [backup-simplify]: Simplify (/ 2 1) into 2
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.431 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.435 * [taylor]: Taking taylor expansion of 0 in p
0.435 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.438 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.438 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.438 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.438 * [taylor]: Taking taylor expansion of 4 in p
0.438 * [backup-simplify]: Simplify 4 into 4
0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.438 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.439 * [taylor]: Taking taylor expansion of p in p
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.440 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.440 * [taylor]: Taking taylor expansion of x in p
0.440 * [backup-simplify]: Simplify x into x
0.440 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.440 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.441 * [backup-simplify]: Simplify (* 4 1) into 4
0.441 * [backup-simplify]: Simplify (+ 4 0) into 4
0.442 * [backup-simplify]: Simplify (sqrt 4) into 2
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.446 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.446 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.446 * [taylor]: Taking taylor expansion of 4 in x
0.446 * [backup-simplify]: Simplify 4 into 4
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.446 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.446 * [taylor]: Taking taylor expansion of p in x
0.446 * [backup-simplify]: Simplify p into p
0.446 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.446 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.446 * [taylor]: Taking taylor expansion of x in x
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (* 1 1) into 1
0.447 * [backup-simplify]: Simplify (/ 1 1) into 1
0.448 * [backup-simplify]: Simplify (+ 0 1) into 1
0.448 * [backup-simplify]: Simplify (sqrt 1) into 1
0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.451 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.451 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.451 * [taylor]: Taking taylor expansion of 4 in x
0.451 * [backup-simplify]: Simplify 4 into 4
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.451 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.451 * [taylor]: Taking taylor expansion of p in x
0.451 * [backup-simplify]: Simplify p into p
0.451 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.451 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (+ 0 1) into 1
0.454 * [backup-simplify]: Simplify (sqrt 1) into 1
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.457 * [taylor]: Taking taylor expansion of 1 in p
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [taylor]: Taking taylor expansion of 0 in p
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.462 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.462 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.462 * [taylor]: Taking taylor expansion of 2 in p
0.462 * [backup-simplify]: Simplify 2 into 2
0.462 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.462 * [taylor]: Taking taylor expansion of p in p
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ 2 1) into 2
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.470 * [taylor]: Taking taylor expansion of 0 in p
0.470 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.472 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.473 * [backup-simplify]: Simplify (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))
0.473 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0
0.473 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
0.473 * [taylor]: Taking taylor expansion of 0.5 in p
0.473 * [backup-simplify]: Simplify 0.5 into 0.5
0.473 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.473 * [taylor]: Taking taylor expansion of 0.5 in p
0.473 * [backup-simplify]: Simplify 0.5 into 0.5
0.473 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.473 * [taylor]: Taking taylor expansion of x in p
0.473 * [backup-simplify]: Simplify x into x
0.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.473 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.473 * [taylor]: Taking taylor expansion of x in p
0.473 * [backup-simplify]: Simplify x into x
0.473 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.473 * [taylor]: Taking taylor expansion of 4 in p
0.473 * [backup-simplify]: Simplify 4 into 4
0.473 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.473 * [taylor]: Taking taylor expansion of p in p
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.474 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.474 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.474 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.475 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.475 * [taylor]: Taking taylor expansion of 0.5 in x
0.475 * [backup-simplify]: Simplify 0.5 into 0.5
0.475 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.475 * [taylor]: Taking taylor expansion of 0.5 in x
0.475 * [backup-simplify]: Simplify 0.5 into 0.5
0.475 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.475 * [taylor]: Taking taylor expansion of x in x
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.475 * [taylor]: Taking taylor expansion of x in x
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.476 * [taylor]: Taking taylor expansion of 4 in x
0.476 * [backup-simplify]: Simplify 4 into 4
0.476 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.476 * [taylor]: Taking taylor expansion of p in x
0.476 * [backup-simplify]: Simplify p into p
0.476 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.476 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.476 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.476 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.476 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.476 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.477 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.478 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.478 * [taylor]: Taking taylor expansion of 0.5 in x
0.478 * [backup-simplify]: Simplify 0.5 into 0.5
0.478 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.478 * [taylor]: Taking taylor expansion of 0.5 in x
0.478 * [backup-simplify]: Simplify 0.5 into 0.5
0.478 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.478 * [taylor]: Taking taylor expansion of x in x
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.479 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.479 * [taylor]: Taking taylor expansion of x in x
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.479 * [taylor]: Taking taylor expansion of 4 in x
0.479 * [backup-simplify]: Simplify 4 into 4
0.479 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.479 * [taylor]: Taking taylor expansion of p in x
0.479 * [backup-simplify]: Simplify p into p
0.479 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.479 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.479 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.479 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.479 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.479 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.480 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.481 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.482 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.482 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.483 * [taylor]: Taking taylor expansion of 0.5 in p
0.483 * [backup-simplify]: Simplify 0.5 into 0.5
0.483 * [backup-simplify]: Simplify 0.5 into 0.5
0.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.484 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.484 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
0.484 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.484 * [taylor]: Taking taylor expansion of 0.25 in p
0.484 * [backup-simplify]: Simplify 0.25 into 0.25
0.484 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.484 * [taylor]: Taking taylor expansion of p in p
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.489 * [backup-simplify]: Simplify (+ 1 0) into 1
0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
0.491 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.491 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [taylor]: Taking taylor expansion of 0 in p
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))) (* 0 (/ 1 (* 4 (pow p 2)))) (* (- (* 1/16 (/ 1 (pow p 4)))) (/ 0 (* 4 (pow p 2)))))) into 0
0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
0.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
0.507 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/16 (/ 1 (pow p 3))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0)))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.507 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.507 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p
0.507 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
0.507 * [taylor]: Taking taylor expansion of 0.03125 in p
0.507 * [backup-simplify]: Simplify 0.03125 into 0.03125
0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
0.507 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.507 * [taylor]: Taking taylor expansion of p in p
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (- 0) into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0.5 into 0.5
0.520 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))))) 0.5) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)
0.520 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in (x p) around 0
0.521 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
0.521 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.521 * [taylor]: Taking taylor expansion of 0.5 in p
0.521 * [backup-simplify]: Simplify 0.5 into 0.5
0.521 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.521 * [taylor]: Taking taylor expansion of x in p
0.521 * [backup-simplify]: Simplify x into x
0.521 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.521 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.521 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.521 * [taylor]: Taking taylor expansion of 4 in p
0.521 * [backup-simplify]: Simplify 4 into 4
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.521 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.521 * [taylor]: Taking taylor expansion of p in p
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.522 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.522 * [taylor]: Taking taylor expansion of x in p
0.522 * [backup-simplify]: Simplify x into x
0.523 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.523 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.523 * [backup-simplify]: Simplify (* 4 1) into 4
0.524 * [backup-simplify]: Simplify (+ 4 0) into 4
0.524 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.525 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.528 * [taylor]: Taking taylor expansion of 0.5 in p
0.528 * [backup-simplify]: Simplify 0.5 into 0.5
0.528 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.528 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.528 * [taylor]: Taking taylor expansion of 0.5 in x
0.528 * [backup-simplify]: Simplify 0.5 into 0.5
0.528 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.528 * [taylor]: Taking taylor expansion of x in x
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (/ 1 1) into 1
0.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.528 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.528 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.528 * [taylor]: Taking taylor expansion of 4 in x
0.528 * [backup-simplify]: Simplify 4 into 4
0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.528 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.528 * [taylor]: Taking taylor expansion of p in x
0.528 * [backup-simplify]: Simplify p into p
0.528 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.528 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.529 * [taylor]: Taking taylor expansion of x in x
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [backup-simplify]: Simplify (+ 0 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [backup-simplify]: Simplify (sqrt 1) into 1
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.532 * [taylor]: Taking taylor expansion of 0.5 in x
0.532 * [backup-simplify]: Simplify 0.5 into 0.5
0.532 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.533 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.533 * [taylor]: Taking taylor expansion of 0.5 in x
0.533 * [backup-simplify]: Simplify 0.5 into 0.5
0.533 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.533 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.533 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.533 * [taylor]: Taking taylor expansion of 4 in x
0.533 * [backup-simplify]: Simplify 4 into 4
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.533 * [taylor]: Taking taylor expansion of p in x
0.533 * [backup-simplify]: Simplify p into p
0.533 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [backup-simplify]: Simplify (+ 0 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [backup-simplify]: Simplify (sqrt 1) into 1
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.537 * [taylor]: Taking taylor expansion of 0.5 in x
0.537 * [backup-simplify]: Simplify 0.5 into 0.5
0.537 * [backup-simplify]: Simplify (* 1 1) into 1
0.538 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.538 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.538 * [taylor]: Taking taylor expansion of 1.0 in p
0.538 * [backup-simplify]: Simplify 1.0 into 1.0
0.538 * [backup-simplify]: Simplify 1.0 into 1.0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [taylor]: Taking taylor expansion of 0 in p
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.543 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.545 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.545 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
0.546 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
0.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.546 * [taylor]: Taking taylor expansion of 1.0 in p
0.546 * [backup-simplify]: Simplify 1.0 into 1.0
0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.546 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.546 * [taylor]: Taking taylor expansion of p in p
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (/ 1 1) into 1
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.550 * [backup-simplify]: Simplify (- 0) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [taylor]: Taking taylor expansion of 0 in p
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1.0 into 1.0
0.557 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))))) 0.5) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))
0.557 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in (x p) around 0
0.557 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
0.557 * [taylor]: Taking taylor expansion of 0.5 in p
0.557 * [backup-simplify]: Simplify 0.5 into 0.5
0.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.557 * [taylor]: Taking taylor expansion of 0.5 in p
0.557 * [backup-simplify]: Simplify 0.5 into 0.5
0.557 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.557 * [taylor]: Taking taylor expansion of x in p
0.557 * [backup-simplify]: Simplify x into x
0.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.557 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.557 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.557 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.557 * [taylor]: Taking taylor expansion of 4 in p
0.557 * [backup-simplify]: Simplify 4 into 4
0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.557 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.557 * [taylor]: Taking taylor expansion of p in p
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.559 * [backup-simplify]: Simplify (/ 1 1) into 1
0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.559 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.559 * [taylor]: Taking taylor expansion of x in p
0.559 * [backup-simplify]: Simplify x into x
0.559 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.559 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.560 * [backup-simplify]: Simplify (* 4 1) into 4
0.560 * [backup-simplify]: Simplify (+ 4 0) into 4
0.561 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.561 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.566 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.567 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.567 * [taylor]: Taking taylor expansion of 0.5 in x
0.567 * [backup-simplify]: Simplify 0.5 into 0.5
0.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.567 * [taylor]: Taking taylor expansion of 0.5 in x
0.567 * [backup-simplify]: Simplify 0.5 into 0.5
0.567 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.567 * [taylor]: Taking taylor expansion of x in x
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (/ 1 1) into 1
0.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.568 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.568 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.568 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.568 * [taylor]: Taking taylor expansion of 4 in x
0.568 * [backup-simplify]: Simplify 4 into 4
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.568 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.568 * [taylor]: Taking taylor expansion of p in x
0.568 * [backup-simplify]: Simplify p into p
0.568 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.568 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.568 * [taylor]: Taking taylor expansion of x in x
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (* 1 1) into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (+ 0 1) into 1
0.570 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (sqrt 1) into 1
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.574 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.574 * [taylor]: Taking taylor expansion of 0.5 in x
0.574 * [backup-simplify]: Simplify 0.5 into 0.5
0.574 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.574 * [taylor]: Taking taylor expansion of 0.5 in x
0.574 * [backup-simplify]: Simplify 0.5 into 0.5
0.574 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.574 * [taylor]: Taking taylor expansion of x in x
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (/ 1 1) into 1
0.575 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.575 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.575 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.575 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.575 * [taylor]: Taking taylor expansion of 4 in x
0.575 * [backup-simplify]: Simplify 4 into 4
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.575 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.575 * [taylor]: Taking taylor expansion of p in x
0.575 * [backup-simplify]: Simplify p into p
0.575 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.575 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.575 * [taylor]: Taking taylor expansion of x in x
0.575 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (* 1 1) into 1
0.577 * [backup-simplify]: Simplify (/ 1 1) into 1
0.577 * [backup-simplify]: Simplify (+ 0 1) into 1
0.577 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [backup-simplify]: Simplify (sqrt 1) into 1
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.582 * [backup-simplify]: Simplify (* 1 1) into 1
0.583 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.583 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.584 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
0.584 * [taylor]: Taking taylor expansion of 0 in p
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.587 * [backup-simplify]: Simplify (- 0) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.588 * [taylor]: Taking taylor expansion of 0 in p
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.593 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.596 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.596 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
0.596 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
0.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.596 * [taylor]: Taking taylor expansion of 1.0 in p
0.596 * [backup-simplify]: Simplify 1.0 into 1.0
0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.596 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.596 * [taylor]: Taking taylor expansion of p in p
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (* 1 1) into 1
0.597 * [backup-simplify]: Simplify (/ 1 1) into 1
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.603 * [backup-simplify]: Simplify (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) into (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))))
0.603 * [approximate]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in (x p) around 0
0.603 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in p
0.603 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
0.603 * [taylor]: Taking taylor expansion of 0.5 in p
0.603 * [backup-simplify]: Simplify 0.5 into 0.5
0.603 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.603 * [taylor]: Taking taylor expansion of 0.5 in p
0.603 * [backup-simplify]: Simplify 0.5 into 0.5
0.603 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.603 * [taylor]: Taking taylor expansion of x in p
0.603 * [backup-simplify]: Simplify x into x
0.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.603 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.603 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.603 * [taylor]: Taking taylor expansion of x in p
0.603 * [backup-simplify]: Simplify x into x
0.603 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.603 * [taylor]: Taking taylor expansion of 4 in p
0.603 * [backup-simplify]: Simplify 4 into 4
0.603 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.603 * [taylor]: Taking taylor expansion of p in p
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.604 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.604 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.604 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.604 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.605 * [backup-simplify]: Simplify (* x (/ 1 x)) into 1
0.606 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.606 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.607 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.607 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (/ 1 x))) into 0
0.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.608 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.609 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x
0.609 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.609 * [taylor]: Taking taylor expansion of 0.5 in x
0.609 * [backup-simplify]: Simplify 0.5 into 0.5
0.609 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.609 * [taylor]: Taking taylor expansion of 0.5 in x
0.609 * [backup-simplify]: Simplify 0.5 into 0.5
0.609 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.609 * [taylor]: Taking taylor expansion of x in x
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 1 into 1
0.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.609 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.610 * [taylor]: Taking taylor expansion of x in x
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.610 * [taylor]: Taking taylor expansion of 4 in x
0.610 * [backup-simplify]: Simplify 4 into 4
0.610 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.610 * [taylor]: Taking taylor expansion of p in x
0.610 * [backup-simplify]: Simplify p into p
0.610 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.610 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.610 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.610 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.610 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.610 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.611 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.612 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.613 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.613 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.614 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.615 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.615 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
0.616 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5)))
0.616 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x
0.616 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.616 * [taylor]: Taking taylor expansion of 0.5 in x
0.616 * [backup-simplify]: Simplify 0.5 into 0.5
0.616 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.616 * [taylor]: Taking taylor expansion of 0.5 in x
0.616 * [backup-simplify]: Simplify 0.5 into 0.5
0.616 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.616 * [taylor]: Taking taylor expansion of x in x
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.617 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.617 * [taylor]: Taking taylor expansion of x in x
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.617 * [taylor]: Taking taylor expansion of 4 in x
0.617 * [backup-simplify]: Simplify 4 into 4
0.617 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.617 * [taylor]: Taking taylor expansion of p in x
0.617 * [backup-simplify]: Simplify p into p
0.617 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.617 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.617 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.618 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.618 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.618 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.618 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.619 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.620 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.620 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.621 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.622 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.622 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
0.623 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5)))
0.623 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p
0.623 * [taylor]: Taking taylor expansion of 0.5 in p
0.623 * [backup-simplify]: Simplify 0.5 into 0.5
0.624 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0
0.625 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.625 * [taylor]: Taking taylor expansion of (/ 0.125 (* p (sqrt 0.5))) in p
0.626 * [taylor]: Taking taylor expansion of 0.125 in p
0.626 * [backup-simplify]: Simplify 0.125 into 0.125
0.626 * [taylor]: Taking taylor expansion of (* p (sqrt 0.5)) in p
0.626 * [taylor]: Taking taylor expansion of p in p
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 1 into 1
0.626 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p
0.626 * [taylor]: Taking taylor expansion of 0.5 in p
0.626 * [backup-simplify]: Simplify 0.5 into 0.5
0.627 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0
0.628 * [backup-simplify]: Simplify (* 0 (sqrt 0.5)) into 0
0.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.5))) into (sqrt 0.5)
0.631 * [backup-simplify]: Simplify (/ 0.125 (sqrt 0.5)) into (/ 0.125 (sqrt 0.5))
0.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0
0.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.5)))) into 0
0.635 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))))) into 0
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify (* 1 1) into 1
0.636 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.637 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.637 * [backup-simplify]: Simplify (+ 1 0) into 1
0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
0.639 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.639 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.640 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.641 * [backup-simplify]: Simplify (+ 0 0) into 0
0.642 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.125 (* p (sqrt 0.5))) 2) (+)) (* 2 (sqrt 0.5))) into (/ -0.0078125 (* (pow p 2) (pow (sqrt 0.5) 3)))
0.643 * [taylor]: Taking taylor expansion of (/ -0.0078125 (* (pow p 2) (pow (sqrt 0.5) 3))) in p
0.643 * [taylor]: Taking taylor expansion of -0.0078125 in p
0.643 * [backup-simplify]: Simplify -0.0078125 into -0.0078125
0.643 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 0.5) 3)) in p
0.643 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.643 * [taylor]: Taking taylor expansion of p in p
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 1 into 1
0.643 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in p
0.643 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p
0.643 * [taylor]: Taking taylor expansion of 0.5 in p
0.643 * [backup-simplify]: Simplify 0.5 into 0.5
0.643 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0
0.644 * [backup-simplify]: Simplify (* 1 1) into 1
0.646 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2)
0.648 * [backup-simplify]: Simplify (* (sqrt 0.5) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 3)
0.649 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 3)) into (pow (sqrt 0.5) 3)
0.654 * [backup-simplify]: Simplify (/ -0.0078125 (pow (sqrt 0.5) 3)) into (/ -0.0078125 (pow (sqrt 0.5) 3))
0.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0
0.656 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0
0.657 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0
0.657 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0
0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.658 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (pow (sqrt 0.5) 2))) into 0
0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 3)))) into 0
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 3))) into 0
0.661 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 0.5) 3)) (+ (* (/ -0.0078125 (pow (sqrt 0.5) 3)) (/ 0 (pow (sqrt 0.5) 3))))) into 0
0.662 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 0.5) 3)) (+ (* (/ -0.0078125 (pow (sqrt 0.5) 3)) (/ 0 (pow (sqrt 0.5) 3))) (* 0 (/ 0 (pow (sqrt 0.5) 3))))) into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0
0.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0
0.664 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))))) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0
0.665 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.666 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.667 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.667 * [backup-simplify]: Simplify (+ 0 0) into 0
0.667 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))) (* 0 (/ 1 (* 4 (pow p 2)))) (* (- (* 1/16 (/ 1 (pow p 4)))) (/ 0 (* 4 (pow p 2)))))) into 0
0.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
0.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
0.669 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/16 (/ 1 (pow p 3))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0)))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.669 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.670 * [backup-simplify]: Simplify (/ (- (- (* 0.03125 (/ 1 (pow p 3)))) (+ (* 2 (* (/ 0.125 (* p (sqrt 0.5))) (/ -0.0078125 (* (pow p 2) (pow (sqrt 0.5) 3))))))) (* 2 (sqrt 0.5))) into (* 1/2 (/ (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) (sqrt 0.5)))
0.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) (sqrt 0.5))) in p
0.670 * [taylor]: Taking taylor expansion of 1/2 in p
0.670 * [backup-simplify]: Simplify 1/2 into 1/2
0.670 * [taylor]: Taking taylor expansion of (/ (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) (sqrt 0.5)) in p
0.671 * [taylor]: Taking taylor expansion of (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) in p
0.671 * [taylor]: Taking taylor expansion of (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) in p
0.671 * [taylor]: Taking taylor expansion of 0.001953125 in p
0.671 * [backup-simplify]: Simplify 0.001953125 into 0.001953125
0.671 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4))) in p
0.671 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 0.5) 4)) in p
0.671 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.671 * [taylor]: Taking taylor expansion of p in p
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 4) in p
0.671 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p
0.671 * [taylor]: Taking taylor expansion of 0.5 in p
0.671 * [backup-simplify]: Simplify 0.5 into 0.5
0.671 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2)
0.674 * [backup-simplify]: Simplify (* (pow (sqrt 0.5) 2) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 4)
0.675 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 4)) into (pow (sqrt 0.5) 4)
0.676 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 0.5) 4)) into (/ 1 (pow (sqrt 0.5) 4))
0.676 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
0.676 * [taylor]: Taking taylor expansion of 0.03125 in p
0.676 * [backup-simplify]: Simplify 0.03125 into 0.03125
0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
0.676 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.676 * [taylor]: Taking taylor expansion of p in p
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify 1 into 1
0.677 * [backup-simplify]: Simplify (* 1 1) into 1
0.677 * [backup-simplify]: Simplify (* 1 1) into 1
0.677 * [backup-simplify]: Simplify (/ 1 1) into 1
0.677 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p
0.677 * [taylor]: Taking taylor expansion of 0.5 in p
0.677 * [backup-simplify]: Simplify 0.5 into 0.5
0.677 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0
0.679 * [backup-simplify]: Simplify (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) into (/ 0.001953125 (pow (sqrt 0.5) 4))
0.680 * [backup-simplify]: Simplify (* 0.03125 1) into 0.03125
0.680 * [backup-simplify]: Simplify (- 0.03125) into (- 0.03125)
0.682 * [backup-simplify]: Simplify (+ (/ 0.001953125 (pow (sqrt 0.5) 4)) (- 0.03125)) into (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125)
0.685 * [backup-simplify]: Simplify (/ (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) (sqrt 0.5)) into (/ (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) (sqrt 0.5))
0.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0
0.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0
0.688 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0
0.688 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0
0.689 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0
0.690 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2))))) into 0
0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.691 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0
0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.694 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (* 0 (pow (sqrt 0.5) 2))) into 0
0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4))))) into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 4))) into 0
0.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))))) into 0
0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4)))) into 0
0.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))) (* 0 (/ 0 (pow (sqrt 0.5) 4))))) into 0
0.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))) (* 0 (/ 0 (pow (sqrt 0.5) 4))) (* 0 (/ 0 (pow (sqrt 0.5) 4))))) into 0
0.708 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))))) into 0
0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.718 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.719 * [backup-simplify]: Simplify (- 0) into 0
0.719 * [backup-simplify]: Simplify (+ 0 0) into 0
0.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0
0.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0
0.723 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))) into 0
0.724 * [backup-simplify]: Simplify (+ (* 0.03125 0) (* 0 1)) into 0
0.724 * [backup-simplify]: Simplify (- 0) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.727 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) (sqrt 0.5)) (/ 0 (sqrt 0.5))))) into 0
0.729 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4))))) into 0
0.730 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (* 0 1))) into 0
0.730 * [backup-simplify]: Simplify (- 0) into 0
0.731 * [backup-simplify]: Simplify (+ 0 0) into 0
0.733 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) (sqrt 0.5)) (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))))) into 0
0.735 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) (sqrt 0.5)) (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))))) into 0
0.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) (sqrt 0.5)))))) into 0
0.738 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.740 * [backup-simplify]: Simplify (sqrt (+ (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))))) 0.5)) into (sqrt (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5))
0.740 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)) in (x p) around 0
0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)) in p
0.740 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
0.740 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.740 * [taylor]: Taking taylor expansion of 0.5 in p
0.740 * [backup-simplify]: Simplify 0.5 into 0.5
0.740 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.740 * [taylor]: Taking taylor expansion of x in p
0.740 * [backup-simplify]: Simplify x into x
0.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.740 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.740 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.740 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.740 * [taylor]: Taking taylor expansion of 4 in p
0.740 * [backup-simplify]: Simplify 4 into 4
0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.740 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.740 * [taylor]: Taking taylor expansion of p in p
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (* 1 1) into 1
0.741 * [backup-simplify]: Simplify (/ 1 1) into 1
0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.741 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.741 * [taylor]: Taking taylor expansion of x in p
0.741 * [backup-simplify]: Simplify x into x
0.741 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.742 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.742 * [backup-simplify]: Simplify (* 4 1) into 4
0.743 * [backup-simplify]: Simplify (+ 4 0) into 4
0.743 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.743 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.747 * [backup-simplify]: Simplify (+ 0 0) into 0
0.748 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.749 * [taylor]: Taking taylor expansion of 0.5 in p
0.749 * [backup-simplify]: Simplify 0.5 into 0.5
0.749 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5
0.749 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.750 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x)
0.750 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x)
0.750 * [backup-simplify]: Simplify (+ (/ 0.25 x) 0) into (* 0.25 (/ 1 x))
0.751 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 x)) (* 2 (sqrt 0.5))) into (/ 0.125 (* x (sqrt 0.5)))
0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)) in x
0.751 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.751 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.751 * [taylor]: Taking taylor expansion of 0.5 in x
0.751 * [backup-simplify]: Simplify 0.5 into 0.5
0.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.751 * [taylor]: Taking taylor expansion of x in x
0.751 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify 1 into 1
0.752 * [backup-simplify]: Simplify (/ 1 1) into 1
0.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.752 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.752 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.752 * [taylor]: Taking taylor expansion of 4 in x
0.752 * [backup-simplify]: Simplify 4 into 4
0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.752 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.752 * [taylor]: Taking taylor expansion of p in x
0.752 * [backup-simplify]: Simplify p into p
0.752 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.752 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.752 * [taylor]: Taking taylor expansion of x in x
0.752 * [backup-simplify]: Simplify 0 into 0
0.752 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify (* 1 1) into 1
0.753 * [backup-simplify]: Simplify (/ 1 1) into 1
0.754 * [backup-simplify]: Simplify (+ 0 1) into 1
0.754 * [backup-simplify]: Simplify (/ 1 1) into 1
0.754 * [backup-simplify]: Simplify (sqrt 1) into 1
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (+ 0 0) into 0
0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.758 * [taylor]: Taking taylor expansion of 0.5 in x
0.758 * [backup-simplify]: Simplify 0.5 into 0.5
0.758 * [backup-simplify]: Simplify (* 1 1) into 1
0.759 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.759 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.759 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.762 * [backup-simplify]: Simplify (+ 0 0) into 0
0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)) in x
0.763 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.763 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.763 * [taylor]: Taking taylor expansion of 0.5 in x
0.763 * [backup-simplify]: Simplify 0.5 into 0.5
0.763 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.763 * [taylor]: Taking taylor expansion of x in x
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 1 into 1
0.764 * [backup-simplify]: Simplify (/ 1 1) into 1
0.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.764 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.764 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.764 * [taylor]: Taking taylor expansion of 4 in x
0.764 * [backup-simplify]: Simplify 4 into 4
0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.764 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.764 * [taylor]: Taking taylor expansion of p in x
0.764 * [backup-simplify]: Simplify p into p
0.764 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.764 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.764 * [taylor]: Taking taylor expansion of x in x
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 1 into 1
0.765 * [backup-simplify]: Simplify (* 1 1) into 1
0.765 * [backup-simplify]: Simplify (/ 1 1) into 1
0.765 * [backup-simplify]: Simplify (+ 0 1) into 1
0.766 * [backup-simplify]: Simplify (/ 1 1) into 1
0.766 * [backup-simplify]: Simplify (sqrt 1) into 1
0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.768 * [backup-simplify]: Simplify (+ 0 0) into 0
0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.770 * [taylor]: Taking taylor expansion of 0.5 in x
0.770 * [backup-simplify]: Simplify 0.5 into 0.5
0.770 * [backup-simplify]: Simplify (* 1 1) into 1
0.771 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.771 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.771 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.774 * [backup-simplify]: Simplify (+ 0 0) into 0
0.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.775 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p
0.775 * [taylor]: Taking taylor expansion of 1.0 in p
0.775 * [backup-simplify]: Simplify 1.0 into 1.0
0.775 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.777 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.777 * [taylor]: Taking taylor expansion of 0 in p
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.781 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.784 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.786 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.787 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.787 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
0.789 * [backup-simplify]: Simplify (/ (- (- (* 1.0 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.5 (* (pow p 2) (sqrt 1.0)))
0.789 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow p 2) (sqrt 1.0))) in p
0.789 * [taylor]: Taking taylor expansion of -0.5 in p
0.789 * [backup-simplify]: Simplify -0.5 into -0.5
0.789 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 1.0)) in p
0.789 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.789 * [taylor]: Taking taylor expansion of p in p
0.789 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify 1 into 1
0.789 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p
0.789 * [taylor]: Taking taylor expansion of 1.0 in p
0.789 * [backup-simplify]: Simplify 1.0 into 1.0
0.790 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.791 * [backup-simplify]: Simplify (* 1 1) into 1
0.792 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0)
0.793 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0))
0.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0
0.799 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0
0.800 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.802 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.803 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.806 * [backup-simplify]: Simplify (+ 0 0) into 0
0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ 0 0) into 0
0.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (* (pow p 2) (sqrt 1.0))))))) (* 2 (sqrt 1.0))) into 0
0.814 * [taylor]: Taking taylor expansion of 0 in p
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.815 * [backup-simplify]: Simplify (sqrt (+ (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))))) 0.5)) into (sqrt (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))))
0.815 * [approximate]: Taking taylor expansion of (sqrt (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))) in (x p) around 0
0.815 * [taylor]: Taking taylor expansion of (sqrt (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))) in p
0.815 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
0.815 * [taylor]: Taking taylor expansion of 0.5 in p
0.815 * [backup-simplify]: Simplify 0.5 into 0.5
0.815 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.815 * [taylor]: Taking taylor expansion of 0.5 in p
0.815 * [backup-simplify]: Simplify 0.5 into 0.5
0.815 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.815 * [taylor]: Taking taylor expansion of x in p
0.815 * [backup-simplify]: Simplify x into x
0.815 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.815 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.815 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.815 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.815 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.815 * [taylor]: Taking taylor expansion of 4 in p
0.815 * [backup-simplify]: Simplify 4 into 4
0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.815 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.816 * [taylor]: Taking taylor expansion of p in p
0.816 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify 1 into 1
0.816 * [backup-simplify]: Simplify (* 1 1) into 1
0.817 * [backup-simplify]: Simplify (/ 1 1) into 1
0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.817 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.817 * [taylor]: Taking taylor expansion of x in p
0.817 * [backup-simplify]: Simplify x into x
0.817 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.817 * [backup-simplify]: Simplify (* 4 1) into 4
0.818 * [backup-simplify]: Simplify (+ 4 0) into 4
0.818 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.819 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.821 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.821 * [backup-simplify]: Simplify (+ 0 0) into 0
0.822 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.823 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.824 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
0.824 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x)
0.824 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x)
0.824 * [backup-simplify]: Simplify (- (/ 0.25 x)) into (- (* 0.25 (/ 1 x)))
0.824 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 x)))) into (- (* 0.25 (/ 1 x)))
0.825 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 x))) (* 2 (sqrt 0.5))) into (/ -0.125 (* x (sqrt 0.5)))
0.826 * [taylor]: Taking taylor expansion of (sqrt (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))) in x
0.826 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.826 * [taylor]: Taking taylor expansion of 0.5 in x
0.826 * [backup-simplify]: Simplify 0.5 into 0.5
0.826 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.826 * [taylor]: Taking taylor expansion of 0.5 in x
0.826 * [backup-simplify]: Simplify 0.5 into 0.5
0.826 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.826 * [taylor]: Taking taylor expansion of x in x
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 1 into 1
0.826 * [backup-simplify]: Simplify (/ 1 1) into 1
0.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.826 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.826 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.827 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.827 * [taylor]: Taking taylor expansion of 4 in x
0.827 * [backup-simplify]: Simplify 4 into 4
0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.827 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.827 * [taylor]: Taking taylor expansion of p in x
0.827 * [backup-simplify]: Simplify p into p
0.827 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.827 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.827 * [taylor]: Taking taylor expansion of x in x
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 1 into 1
0.828 * [backup-simplify]: Simplify (* 1 1) into 1
0.828 * [backup-simplify]: Simplify (/ 1 1) into 1
0.829 * [backup-simplify]: Simplify (+ 0 1) into 1
0.829 * [backup-simplify]: Simplify (/ 1 1) into 1
0.829 * [backup-simplify]: Simplify (sqrt 1) into 1
0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ 0 0) into 0
0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.833 * [backup-simplify]: Simplify (* 1 1) into 1
0.833 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.834 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.835 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.837 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.837 * [backup-simplify]: Simplify (- 0) into 0
0.838 * [backup-simplify]: Simplify (+ 0 0) into 0
0.838 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.842 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.845 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.845 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
0.845 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
0.845 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p)
0.846 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.847 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.850 * [backup-simplify]: Simplify (+ 0 0) into 0
0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (- 0) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0
0.857 * [taylor]: Taking taylor expansion of (sqrt (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))) in x
0.857 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.857 * [taylor]: Taking taylor expansion of 0.5 in x
0.857 * [backup-simplify]: Simplify 0.5 into 0.5
0.857 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.857 * [taylor]: Taking taylor expansion of 0.5 in x
0.857 * [backup-simplify]: Simplify 0.5 into 0.5
0.857 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.857 * [taylor]: Taking taylor expansion of x in x
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [backup-simplify]: Simplify (/ 1 1) into 1
0.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.858 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.858 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.858 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.858 * [taylor]: Taking taylor expansion of 4 in x
0.858 * [backup-simplify]: Simplify 4 into 4
0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.858 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.858 * [taylor]: Taking taylor expansion of p in x
0.858 * [backup-simplify]: Simplify p into p
0.858 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.858 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.858 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.858 * [taylor]: Taking taylor expansion of x in x
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify (/ 1 1) into 1
0.859 * [backup-simplify]: Simplify (+ 0 1) into 1
0.860 * [backup-simplify]: Simplify (/ 1 1) into 1
0.860 * [backup-simplify]: Simplify (sqrt 1) into 1
0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (+ 0 0) into 0
0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.864 * [backup-simplify]: Simplify (* 1 1) into 1
0.864 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.865 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.865 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.867 * [backup-simplify]: Simplify (- 0) into 0
0.867 * [backup-simplify]: Simplify (+ 0 0) into 0
0.867 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.870 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.872 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.872 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
0.872 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
0.872 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p)
0.872 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.873 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (+ 0 0) into 0
0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (- 0) into 0
0.878 * [backup-simplify]: Simplify (+ 0 0) into 0
0.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0
0.878 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) p) in p
0.878 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p
0.878 * [taylor]: Taking taylor expansion of 1.0 in p
0.878 * [backup-simplify]: Simplify 1.0 into 1.0
0.878 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.879 * [taylor]: Taking taylor expansion of p in p
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [backup-simplify]: Simplify (/ (sqrt 1.0) 1) into (sqrt 1.0)
0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)))) into 0
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [taylor]: Taking taylor expansion of 0 in p
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0
0.883 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0
0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.884 * [backup-simplify]: Simplify (+ 0 0) into 0
0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (* 16 (/ 1 (pow p 4)))
0.886 * [backup-simplify]: Simplify (/ (- (* 16 (/ 1 (pow p 4))) (pow (/ -2 (pow p 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 6 (pow p 4))
0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.888 * [backup-simplify]: Simplify (+ (* 1 (/ 6 (pow p 4))) (+ (* 0 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))))) into (* 6 (/ 1 (pow p 4)))
0.889 * [backup-simplify]: Simplify (+ (* 0.5 (* 6 (/ 1 (pow p 4)))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))))) into (* 3.0 (/ 1 (pow p 4)))
0.889 * [backup-simplify]: Simplify (- (* 3.0 (/ 1 (pow p 4)))) into (- (* 3.0 (/ 1 (pow p 4))))
0.889 * [backup-simplify]: Simplify (+ 0 (- (* 3.0 (/ 1 (pow p 4))))) into (- (* 3.0 (/ 1 (pow p 4))))
0.890 * [backup-simplify]: Simplify (/ (- (- (* 3.0 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ (sqrt 1.0) p))) into (/ -1.5 (* (pow p 3) (sqrt 1.0)))
0.890 * [taylor]: Taking taylor expansion of (/ -1.5 (* (pow p 3) (sqrt 1.0))) in p
0.890 * [taylor]: Taking taylor expansion of -1.5 in p
0.890 * [backup-simplify]: Simplify -1.5 into -1.5
0.890 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 1.0)) in p
0.890 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.890 * [taylor]: Taking taylor expansion of p in p
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 1 into 1
0.890 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p
0.890 * [taylor]: Taking taylor expansion of 1.0 in p
0.890 * [backup-simplify]: Simplify 1.0 into 1.0
0.890 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
0.891 * [backup-simplify]: Simplify (* 1 1) into 1
0.891 * [backup-simplify]: Simplify (* 1 1) into 1
0.892 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0)
0.892 * [backup-simplify]: Simplify (/ -1.5 (sqrt 1.0)) into (/ -1.5 (sqrt 1.0))
0.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
0.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
0.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0
0.904 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0
0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
0.907 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0
0.909 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
0.912 * [backup-simplify]: Simplify (/ x (sqrt (+ (* x x) (* p (* 4 p))))) into (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))
0.912 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in (x p) around 0
0.912 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.912 * [taylor]: Taking taylor expansion of x in p
0.912 * [backup-simplify]: Simplify x into x
0.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.912 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.913 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.913 * [taylor]: Taking taylor expansion of x in p
0.913 * [backup-simplify]: Simplify x into x
0.913 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.913 * [taylor]: Taking taylor expansion of 4 in p
0.913 * [backup-simplify]: Simplify 4 into 4
0.913 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.913 * [taylor]: Taking taylor expansion of p in p
0.913 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify 1 into 1
0.913 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.913 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.913 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.913 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.914 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.914 * [taylor]: Taking taylor expansion of x in x
0.914 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify 1 into 1
0.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.914 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.915 * [taylor]: Taking taylor expansion of x in x
0.915 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify 1 into 1
0.915 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.915 * [taylor]: Taking taylor expansion of 4 in x
0.915 * [backup-simplify]: Simplify 4 into 4
0.915 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.915 * [taylor]: Taking taylor expansion of p in x
0.915 * [backup-simplify]: Simplify p into p
0.915 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.915 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.915 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.915 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.915 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.915 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.919 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.919 * [backup-simplify]: Simplify (+ 0 0) into 0
0.920 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.920 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.920 * [taylor]: Taking taylor expansion of x in x
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 1 into 1
0.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.920 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.920 * [taylor]: Taking taylor expansion of x in x
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 1 into 1
0.920 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.920 * [taylor]: Taking taylor expansion of 4 in x
0.920 * [backup-simplify]: Simplify 4 into 4
0.920 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.920 * [taylor]: Taking taylor expansion of p in x
0.920 * [backup-simplify]: Simplify p into p
0.921 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.921 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.921 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.921 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.921 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.921 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.922 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.922 * [backup-simplify]: Simplify (+ 0 0) into 0
0.922 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.923 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.923 * [taylor]: Taking taylor expansion of 0 in p
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 p)) in p
0.924 * [taylor]: Taking taylor expansion of 1/2 in p
0.924 * [backup-simplify]: Simplify 1/2 into 1/2
0.924 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.924 * [taylor]: Taking taylor expansion of p in p
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [backup-simplify]: Simplify (/ 1 1) into 1
0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (* 1 1) into 1
0.927 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.928 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.928 * [backup-simplify]: Simplify (+ 1 0) into 1
0.929 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
0.930 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.930 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.930 * [taylor]: Taking taylor expansion of 0 in p
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p)))))) into (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))
0.933 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0
0.933 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.933 * [taylor]: Taking taylor expansion of x in p
0.933 * [backup-simplify]: Simplify x into x
0.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.933 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.933 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.933 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.933 * [taylor]: Taking taylor expansion of 4 in p
0.933 * [backup-simplify]: Simplify 4 into 4
0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.934 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.934 * [taylor]: Taking taylor expansion of p in p
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (* 1 1) into 1
0.935 * [backup-simplify]: Simplify (/ 1 1) into 1
0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.935 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.935 * [taylor]: Taking taylor expansion of x in p
0.935 * [backup-simplify]: Simplify x into x
0.935 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.935 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.935 * [backup-simplify]: Simplify (* 4 1) into 4
0.936 * [backup-simplify]: Simplify (+ 4 0) into 4
0.936 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.937 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.939 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.939 * [backup-simplify]: Simplify (+ 0 0) into 0
0.940 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.941 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.941 * [taylor]: Taking taylor expansion of x in x
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify 1 into 1
0.941 * [backup-simplify]: Simplify (/ 1 1) into 1
0.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.941 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.941 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.941 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.942 * [taylor]: Taking taylor expansion of 4 in x
0.942 * [backup-simplify]: Simplify 4 into 4
0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.942 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.942 * [taylor]: Taking taylor expansion of p in x
0.942 * [backup-simplify]: Simplify p into p
0.942 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.942 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.942 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.942 * [taylor]: Taking taylor expansion of x in x
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify (* 1 1) into 1
0.943 * [backup-simplify]: Simplify (/ 1 1) into 1
0.943 * [backup-simplify]: Simplify (+ 0 1) into 1
0.944 * [backup-simplify]: Simplify (/ 1 1) into 1
0.944 * [backup-simplify]: Simplify (sqrt 1) into 1
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.946 * [backup-simplify]: Simplify (+ 0 0) into 0
0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.947 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.947 * [taylor]: Taking taylor expansion of x in x
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 1 into 1
0.948 * [backup-simplify]: Simplify (/ 1 1) into 1
0.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.948 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.948 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.948 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.948 * [taylor]: Taking taylor expansion of 4 in x
0.948 * [backup-simplify]: Simplify 4 into 4
0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.948 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.948 * [taylor]: Taking taylor expansion of p in x
0.948 * [backup-simplify]: Simplify p into p
0.948 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.948 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.948 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.948 * [taylor]: Taking taylor expansion of x in x
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 1 into 1
0.949 * [backup-simplify]: Simplify (* 1 1) into 1
0.949 * [backup-simplify]: Simplify (/ 1 1) into 1
0.950 * [backup-simplify]: Simplify (+ 0 1) into 1
0.950 * [backup-simplify]: Simplify (/ 1 1) into 1
0.951 * [backup-simplify]: Simplify (sqrt 1) into 1
0.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.952 * [backup-simplify]: Simplify (+ 0 0) into 0
0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.955 * [backup-simplify]: Simplify (* 1 1) into 1
0.955 * [taylor]: Taking taylor expansion of 1 in p
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.956 * [taylor]: Taking taylor expansion of 0 in p
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.959 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.961 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.963 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.963 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow p 2)))) in p
0.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow p 2))) in p
0.963 * [taylor]: Taking taylor expansion of 2 in p
0.963 * [backup-simplify]: Simplify 2 into 2
0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.963 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.963 * [taylor]: Taking taylor expansion of p in p
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 1 into 1
0.963 * [backup-simplify]: Simplify (* 1 1) into 1
0.964 * [backup-simplify]: Simplify (/ 1 1) into 1
0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.971 * [backup-simplify]: Simplify (- 0) into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p))))))) into (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.972 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0
0.972 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.972 * [taylor]: Taking taylor expansion of -1 in p
0.972 * [backup-simplify]: Simplify -1 into -1
0.972 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.972 * [taylor]: Taking taylor expansion of x in p
0.972 * [backup-simplify]: Simplify x into x
0.972 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.972 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.972 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.972 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.972 * [taylor]: Taking taylor expansion of 4 in p
0.972 * [backup-simplify]: Simplify 4 into 4
0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.972 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.972 * [taylor]: Taking taylor expansion of p in p
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 1 into 1
0.973 * [backup-simplify]: Simplify (* 1 1) into 1
0.973 * [backup-simplify]: Simplify (/ 1 1) into 1
0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.973 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.973 * [taylor]: Taking taylor expansion of x in p
0.973 * [backup-simplify]: Simplify x into x
0.973 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.973 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.974 * [backup-simplify]: Simplify (* 4 1) into 4
0.974 * [backup-simplify]: Simplify (+ 4 0) into 4
0.975 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.975 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.977 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.978 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.980 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.980 * [taylor]: Taking taylor expansion of -1 in x
0.980 * [backup-simplify]: Simplify -1 into -1
0.980 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.980 * [taylor]: Taking taylor expansion of x in x
0.980 * [backup-simplify]: Simplify 0 into 0
0.980 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (/ 1 1) into 1
0.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.981 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.981 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.981 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.981 * [taylor]: Taking taylor expansion of 4 in x
0.981 * [backup-simplify]: Simplify 4 into 4
0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.981 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.981 * [taylor]: Taking taylor expansion of p in x
0.981 * [backup-simplify]: Simplify p into p
0.981 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.981 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.981 * [taylor]: Taking taylor expansion of x in x
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (* 1 1) into 1
0.982 * [backup-simplify]: Simplify (/ 1 1) into 1
0.983 * [backup-simplify]: Simplify (+ 0 1) into 1
0.983 * [backup-simplify]: Simplify (/ 1 1) into 1
0.983 * [backup-simplify]: Simplify (sqrt 1) into 1
0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ 0 0) into 0
0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.987 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.987 * [taylor]: Taking taylor expansion of -1 in x
0.987 * [backup-simplify]: Simplify -1 into -1
0.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.987 * [taylor]: Taking taylor expansion of x in x
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify 1 into 1
0.988 * [backup-simplify]: Simplify (/ 1 1) into 1
0.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.988 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.988 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.988 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.988 * [taylor]: Taking taylor expansion of 4 in x
0.988 * [backup-simplify]: Simplify 4 into 4
0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.988 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.988 * [taylor]: Taking taylor expansion of p in x
0.988 * [backup-simplify]: Simplify p into p
0.988 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.988 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.988 * [taylor]: Taking taylor expansion of x in x
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 1 into 1
0.989 * [backup-simplify]: Simplify (* 1 1) into 1
0.989 * [backup-simplify]: Simplify (/ 1 1) into 1
0.989 * [backup-simplify]: Simplify (+ 0 1) into 1
0.990 * [backup-simplify]: Simplify (/ 1 1) into 1
0.990 * [backup-simplify]: Simplify (sqrt 1) into 1
0.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (+ 0 0) into 0
0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.994 * [backup-simplify]: Simplify (* 1 1) into 1
0.994 * [backup-simplify]: Simplify (* -1 1) into -1
0.994 * [taylor]: Taking taylor expansion of -1 in p
0.994 * [backup-simplify]: Simplify -1 into -1
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.997 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
0.997 * [taylor]: Taking taylor expansion of 0 in p
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.999 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
1.001 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.003 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
1.004 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 2 (/ 1 (pow p 2)))
1.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow p 2))) in p
1.004 * [taylor]: Taking taylor expansion of 2 in p
1.004 * [backup-simplify]: Simplify 2 into 2
1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
1.004 * [taylor]: Taking taylor expansion of (pow p 2) in p
1.004 * [taylor]: Taking taylor expansion of p in p
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 1 into 1
1.005 * [backup-simplify]: Simplify (* 1 1) into 1
1.005 * [backup-simplify]: Simplify (/ 1 1) into 1
1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * * * [progress]: simplifying candidates
1.013 * * * * [progress]: [ 1 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* p (* 4 p))) 1/2))) 0.5)))>
1.013 * * * * [progress]: [ 2 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (sqrt (+ (* x x) (* p (* 4 p)))) 1))) 0.5)))>
1.013 * * * * [progress]: [ 3 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.013 * * * * [progress]: [ 4 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.013 * * * * [progress]: [ 5 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.013 * * * * [progress]: [ 6 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.013 * * * * [progress]: [ 7 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.013 * * * * [progress]: [ 8 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.013 * * * * [progress]: [ 9 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.013 * * * * [progress]: [ 10 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))))) 0.5)))>
1.013 * * * * [progress]: [ 11 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) (sqrt (- (* x x) (* p (* 4 p))))))) 0.5)))>
1.013 * * * * [progress]: [ 12 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* p (* 4 p))) (/ 1 2)))) 0.5)))>
1.014 * * * * [progress]: [ 13 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.014 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.014 * * * * [progress]: [ 15 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.014 * * * * [progress]: [ 16 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (posit16->real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.014 * * * * [progress]: [ 17 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (exp 0.5)))))>
1.014 * * * * [progress]: [ 18 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (pow (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) 1)))>
1.014 * * * * [progress]: [ 19 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (exp (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.014 * * * * [progress]: [ 20 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.014 * * * * [progress]: [ 21 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.014 * * * * [progress]: [ 22 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (cbrt (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.014 * * * * [progress]: [ 23 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.014 * * * * [progress]: [ 24 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 3) (pow 0.5 3)) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))>
1.014 * * * * [progress]: [ 25 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 1 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))>
1.014 * * * * [progress]: [ 26 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))>
1.015 * * * * [progress]: [ 27 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (posit16->real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))))>
1.015 * * * * [progress]: [ 29 / 98 ] simplifiying candidate #<alt (λ (p x) (pow (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) 1/2))>
1.015 * * * * [progress]: [ 30 / 98 ] simplifiying candidate #<alt (λ (p x) (pow (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 1))>
1.015 * * * * [progress]: [ 31 / 98 ] simplifiying candidate #<alt (λ (p x) (exp (log (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 32 / 98 ] simplifiying candidate #<alt (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 33 / 98 ] simplifiying candidate #<alt (λ (p x) (* (* (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))) (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 34 / 98 ] simplifiying candidate #<alt (λ (p x) (cbrt (* (* (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 35 / 98 ] simplifiying candidate #<alt (λ (p x) (* (sqrt (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))) (sqrt (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 36 / 98 ] simplifiying candidate #<alt (λ (p x) (* (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.015 * * * * [progress]: [ 37 / 98 ] simplifiying candidate #<alt (λ (p x) (* (sqrt 1) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))>
1.015 * * * * [progress]: [ 38 / 98 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 3) (pow 0.5 3))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))>
1.015 * * * * [progress]: [ 39 / 98 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (* 0.5 0.5))) (sqrt (- (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))>
1.016 * * * * [progress]: [ 40 / 98 ] simplifiying candidate #<alt (λ (p x) (pow (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) (/ 1 2)))>
1.016 * * * * [progress]: [ 41 / 98 ] simplifiying candidate #<alt (λ (p x) (* (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.016 * * * * [progress]: [ 42 / 98 ] simplifiying candidate #<alt (λ (p x) (fabs (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))>
1.016 * * * * [progress]: [ 43 / 98 ] simplifiying candidate #<alt (λ (p x) (* 1 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))>
1.016 * * * * [progress]: [ 44 / 98 ] simplifiying candidate #<alt (λ (p x) (posit16->real (real->posit16 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))>
1.016 * * * * [progress]: [ 45 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (pow (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1)) 0.5)))>
1.016 * * * * [progress]: [ 46 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (exp (- (log x) (log (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 47 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (exp (log (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 48 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (log (exp (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 49 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (cbrt (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 50 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (* (cbrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (cbrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 51 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (cbrt (* (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 52 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (sqrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (sqrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.016 * * * * [progress]: [ 53 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (- x) (- (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.017 * * * * [progress]: [ 54 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 55 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 56 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 57 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.017 * * * * [progress]: [ 58 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 59 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.017 * * * * [progress]: [ 60 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 61 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 62 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 63 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.017 * * * * [progress]: [ 64 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.017 * * * * [progress]: [ 65 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.017 * * * * [progress]: [ 66 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ 1 (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) (/ x (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.018 * * * * [progress]: [ 67 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ 1 (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))) (/ x (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.018 * * * * [progress]: [ 68 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ 1 (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.018 * * * * [progress]: [ 69 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ 1 (sqrt 1)) (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 70 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ 1 (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.018 * * * * [progress]: [ 71 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ 1 1) (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 72 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* 1 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 73 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 74 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ 1 (/ (sqrt (+ (* x x) (* p (* 4 p)))) x))) 0.5)))>
1.018 * * * * [progress]: [ 75 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (/ x (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 76 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (/ x (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))) (sqrt (cbrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 78 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (/ x (sqrt 1)) (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
1.018 * * * * [progress]: [ 79 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
1.018 * * * * [progress]: [ 80 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (/ x 1) (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
1.018 * * * * [progress]: [ 81 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ (* x x) (* p (* 4 p)))) (cbrt x)))) 0.5)))>
1.019 * * * * [progress]: [ 82 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ (sqrt x) (/ (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt x)))) 0.5)))>
1.019 * * * * [progress]: [ 83 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ 1 (/ (sqrt (+ (* x x) (* p (* 4 p)))) x))) 0.5)))>
1.019 * * * * [progress]: [ 84 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ x (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p)))))))) 0.5)))>
1.019 * * * * [progress]: [ 85 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ x (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p)))))) (sqrt (- (* x x) (* p (* 4 p)))))) 0.5)))>
1.019 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (posit16->real (real->posit16 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))>
1.019 * * * * [progress]: [ 87 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 2 p))) 0.5)))>
1.019 * * * * [progress]: [ 88 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x x)) 0.5)))>
1.019 * * * * [progress]: [ 89 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* -1 x))) 0.5)))>
1.019 * * * * [progress]: [ 90 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt 0.5))>
1.019 * * * * [progress]: [ 91 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt 1.0))>
1.019 * * * * [progress]: [ 92 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt 0))>
1.019 * * * * [progress]: [ 93 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt 0.5))>
1.019 * * * * [progress]: [ 94 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt 1.0))>
1.019 * * * * [progress]: [ 95 / 98 ] simplifiying candidate #<alt (λ (p x) 0)>
1.019 * * * * [progress]: [ 96 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 0) 0.5)))>
1.019 * * * * [progress]: [ 97 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 0) 0.5)))>
1.019 * * * * [progress]: [ 98 / 98 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 0) 0.5)))>
1.022 * [simplify]: Simplifying (log (sqrt (+ (* x x) (* p (* 4 p))))), (exp (sqrt (+ (* x x) (* p (* 4 p))))), (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))), (cbrt (sqrt (+ (* x x) (* p (* 4 p))))), (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))), (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))), (sqrt (cbrt (+ (* x x) (* p (* 4 p))))), (sqrt (sqrt (+ (* x x) (* p (* 4 p))))), (sqrt (sqrt (+ (* x x) (* p (* 4 p))))), (sqrt 1), (sqrt (+ (* x x) (* p (* 4 p)))), (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p)))))), (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))), (sqrt (- (* x x) (* p (* 4 p)))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* p (* 4 p))))), (sqrt (sqrt (+ (* x x) (* p (* 4 p))))), (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))), (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (exp 0.5)), (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 3) (pow 0.5 3)), (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (* 0.5 0.5)), (- (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5), (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (log (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (* (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))), (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (* (* (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (sqrt (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))), (sqrt (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (sqrt 1), (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 3) (pow 0.5 3))), (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))), (sqrt (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (* 0.5 0.5))), (sqrt (- (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)), (/ 1 2), (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (real->posit16 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))), (- (log x) (log (sqrt (+ (* x x) (* p (* 4 p)))))), (log (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (exp (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p)))))), (* (cbrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (/ x (sqrt (+ (* x x) (* p (* 4 p))))))), (cbrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (* (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (sqrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (sqrt (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (- x), (- (sqrt (+ (* x x) (* p (* 4 p))))), (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))), (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))), (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))), (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (* (cbrt x) (cbrt x)) (sqrt 1)), (/ (cbrt x) (sqrt (+ (* x x) (* p (* 4 p))))), (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (* (cbrt x) (cbrt x)) 1), (/ (cbrt x) (sqrt (+ (* x x) (* p (* 4 p))))), (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))), (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))), (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (sqrt x) (sqrt 1)), (/ (sqrt x) (sqrt (+ (* x x) (* p (* 4 p))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ (sqrt x) 1), (/ (sqrt x) (sqrt (+ (* x x) (* p (* 4 p))))), (/ 1 (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))), (/ x (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ 1 (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))), (/ x (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))), (/ 1 (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ 1 (sqrt 1)), (/ x (sqrt (+ (* x x) (* p (* 4 p))))), (/ 1 (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ 1 1), (/ x (sqrt (+ (* x x) (* p (* 4 p))))), (/ 1 (sqrt (+ (* x x) (* p (* 4 p))))), (/ (sqrt (+ (* x x) (* p (* 4 p)))) x), (/ x (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))), (/ x (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))), (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ x (sqrt 1)), (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))), (/ x 1), (/ (sqrt (+ (* x x) (* p (* 4 p)))) (cbrt x)), (/ (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt x)), (/ (sqrt (+ (* x x) (* p (* 4 p)))) x), (/ x (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3)))), (/ x (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p)))))), (real->posit16 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))), (* 2 p), x, (* -1 x), 0.5, 1.0, 0, (sqrt 0.5), (sqrt 1.0), 0, 0, 0, 0
1.025 * * [simplify]: iteration 1: (137 enodes)
1.105 * * [simplify]: iteration 2: (518 enodes)
1.258 * * [simplify]: iteration 3: (1067 enodes)
1.750 * * [simplify]: Extracting #0: cost 86 inf + 0
1.750 * * [simplify]: Extracting #1: cost 301 inf + 88
1.752 * * [simplify]: Extracting #2: cost 540 inf + 1730
1.758 * * [simplify]: Extracting #3: cost 672 inf + 17389
1.771 * * [simplify]: Extracting #4: cost 537 inf + 58945
1.819 * * [simplify]: Extracting #5: cost 221 inf + 150485
1.874 * * [simplify]: Extracting #6: cost 69 inf + 209976
1.967 * * [simplify]: Extracting #7: cost 8 inf + 236112
2.023 * * [simplify]: Extracting #8: cost 0 inf + 239585
2.108 * [simplify]: Simplified to (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))), (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* x x) (* (* p 4) p))))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (exp (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (log (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (exp (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (* (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (* (* (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))) (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))) (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5))), (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (- (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 0.5)) (* 0.5 0.5)), (- (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) 0.5), (real->posit16 (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (log (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (exp (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (* (cbrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))))), (cbrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (* (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (fabs (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (sqrt (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (sqrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (sqrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), 1, (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))), (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))), (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))))), (sqrt (- (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 0.5)) (* 0.5 0.5))), (sqrt (- (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) 0.5)), 1/2, (sqrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (sqrt (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (real->posit16 (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))), (log (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (log (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (exp (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (/ (* x x) (/ (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) x)), (* (cbrt (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p 4) p)))))), (cbrt (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (/ (* x x) (/ (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) x)), (sqrt (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (sqrt (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (- x), (- (sqrt (+ (* x x) (* (* p 4) p)))), (* (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))), (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (* (/ (cbrt x) (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (cbrt x)), (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))), (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (* (cbrt x) (cbrt x)), (/ (cbrt x) (sqrt (+ (* x x) (* (* p 4) p)))), (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (* (cbrt x) (cbrt x)), (/ (cbrt x) (sqrt (+ (* x x) (* (* p 4) p)))), (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))), (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ (sqrt x) (fabs (cbrt (+ (* x x) (* (* p 4) p))))), (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (sqrt x), (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p)))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (sqrt x), (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p)))), (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))), (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ 1 (fabs (cbrt (+ (* x x) (* (* p 4) p))))), (/ x (sqrt (cbrt (+ (* x x) (* (* p 4) p))))), (/ 1 (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), 1, (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ 1 (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), 1, (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ 1 (sqrt (+ (* x x) (* (* p 4) p)))), (/ (sqrt (+ (* x x) (* (* p 4) p))) x), (/ x (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))), (/ x (fabs (cbrt (+ (* x x) (* (* p 4) p))))), (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), x, (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))), x, (/ (sqrt (+ (* x x) (* (* p 4) p))) (cbrt x)), (/ (sqrt (+ (* x x) (* (* p 4) p))) (sqrt x)), (/ (sqrt (+ (* x x) (* (* p 4) p))) x), (/ x (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x))))), (/ x (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))))), (real->posit16 (/ x (sqrt (+ (* x x) (* (* p 4) p))))), (* p 2), x, (- x), 0.5, 1.0, 0, (sqrt 0.5), (sqrt 1.0), 0, 0, 0, 0
2.117 * * * [progress]: adding candidates to table
3.217 * * [progress]: iteration 2 / 4
3.217 * * * [progress]: picking best candidate
3.277 * * * * [pick]: Picked  #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.277 * * * [progress]: localizing error
3.344 * * * [progress]: generating rewritten candidates
3.344 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 2)
3.357 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2)
3.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
3.371 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2)
3.387 * * * [progress]: generating series expansions
3.387 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 2)
3.387 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
3.387 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
3.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.387 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.387 * [taylor]: Taking taylor expansion of x in p
3.387 * [backup-simplify]: Simplify x into x
3.387 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.387 * [taylor]: Taking taylor expansion of 4 in p
3.387 * [backup-simplify]: Simplify 4 into 4
3.387 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.387 * [taylor]: Taking taylor expansion of p in p
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.388 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.388 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.388 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.388 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.388 * [backup-simplify]: Simplify (+ 0 0) into 0
3.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
3.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.389 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.389 * [taylor]: Taking taylor expansion of x in x
3.389 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify 1 into 1
3.389 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.389 * [taylor]: Taking taylor expansion of 4 in x
3.389 * [backup-simplify]: Simplify 4 into 4
3.389 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.389 * [taylor]: Taking taylor expansion of p in x
3.389 * [backup-simplify]: Simplify p into p
3.389 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.389 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.389 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.389 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
3.389 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.389 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.390 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
3.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
3.390 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.390 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.390 * [taylor]: Taking taylor expansion of x in x
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 1 into 1
3.390 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.390 * [taylor]: Taking taylor expansion of 4 in x
3.390 * [backup-simplify]: Simplify 4 into 4
3.390 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.390 * [taylor]: Taking taylor expansion of p in x
3.390 * [backup-simplify]: Simplify p into p
3.390 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.390 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.390 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.390 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
3.390 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.391 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.391 * [backup-simplify]: Simplify (+ 0 0) into 0
3.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
3.391 * [taylor]: Taking taylor expansion of (* 2 p) in p
3.391 * [taylor]: Taking taylor expansion of 2 in p
3.391 * [backup-simplify]: Simplify 2 into 2
3.391 * [taylor]: Taking taylor expansion of p in p
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify 1 into 1
3.392 * [backup-simplify]: Simplify (* 2 0) into 0
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [taylor]: Taking taylor expansion of 0 in p
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.393 * [backup-simplify]: Simplify 2 into 2
3.393 * [backup-simplify]: Simplify (* 1 1) into 1
3.393 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.394 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.394 * [backup-simplify]: Simplify (+ 1 0) into 1
3.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
3.395 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
3.395 * [taylor]: Taking taylor expansion of 1/4 in p
3.395 * [backup-simplify]: Simplify 1/4 into 1/4
3.395 * [taylor]: Taking taylor expansion of p in p
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.395 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.398 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
3.398 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
3.399 * [backup-simplify]: Simplify (+ 0 0) into 0
3.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
3.399 * [taylor]: Taking taylor expansion of 0 in p
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
3.400 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.400 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.400 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.400 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.400 * [taylor]: Taking taylor expansion of 4 in p
3.400 * [backup-simplify]: Simplify 4 into 4
3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.400 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.400 * [taylor]: Taking taylor expansion of p in p
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (* 1 1) into 1
3.401 * [backup-simplify]: Simplify (/ 1 1) into 1
3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.401 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.401 * [taylor]: Taking taylor expansion of x in p
3.401 * [backup-simplify]: Simplify x into x
3.401 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.401 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.402 * [backup-simplify]: Simplify (* 4 1) into 4
3.402 * [backup-simplify]: Simplify (+ 4 0) into 4
3.403 * [backup-simplify]: Simplify (sqrt 4) into 2
3.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.406 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.406 * [backup-simplify]: Simplify (+ 0 0) into 0
3.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.407 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.407 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.407 * [taylor]: Taking taylor expansion of 4 in x
3.407 * [backup-simplify]: Simplify 4 into 4
3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.407 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.407 * [taylor]: Taking taylor expansion of p in x
3.407 * [backup-simplify]: Simplify p into p
3.407 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.408 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.408 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.408 * [taylor]: Taking taylor expansion of x in x
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.408 * [backup-simplify]: Simplify (* 1 1) into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.409 * [backup-simplify]: Simplify (+ 0 1) into 1
3.409 * [backup-simplify]: Simplify (sqrt 1) into 1
3.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.411 * [backup-simplify]: Simplify (+ 0 0) into 0
3.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.411 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.411 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.411 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.411 * [taylor]: Taking taylor expansion of 4 in x
3.411 * [backup-simplify]: Simplify 4 into 4
3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.411 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.411 * [taylor]: Taking taylor expansion of p in x
3.411 * [backup-simplify]: Simplify p into p
3.411 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.411 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.411 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.411 * [taylor]: Taking taylor expansion of x in x
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 1 into 1
3.412 * [backup-simplify]: Simplify (* 1 1) into 1
3.412 * [backup-simplify]: Simplify (/ 1 1) into 1
3.412 * [backup-simplify]: Simplify (+ 0 1) into 1
3.413 * [backup-simplify]: Simplify (sqrt 1) into 1
3.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.414 * [backup-simplify]: Simplify (+ 0 0) into 0
3.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.414 * [taylor]: Taking taylor expansion of 1 in p
3.415 * [backup-simplify]: Simplify 1 into 1
3.415 * [taylor]: Taking taylor expansion of 0 in p
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 1 into 1
3.415 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.416 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.417 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.417 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.417 * [taylor]: Taking taylor expansion of 2 in p
3.417 * [backup-simplify]: Simplify 2 into 2
3.417 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.417 * [taylor]: Taking taylor expansion of p in p
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.418 * [backup-simplify]: Simplify (/ 2 1) into 2
3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.419 * [backup-simplify]: Simplify 0 into 0
3.419 * [backup-simplify]: Simplify 0 into 0
3.419 * [backup-simplify]: Simplify 0 into 0
3.419 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.420 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.425 * [taylor]: Taking taylor expansion of 0 in p
3.425 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.427 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.427 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.427 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.427 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.427 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.427 * [taylor]: Taking taylor expansion of 4 in p
3.427 * [backup-simplify]: Simplify 4 into 4
3.427 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.427 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.427 * [taylor]: Taking taylor expansion of p in p
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 1 into 1
3.428 * [backup-simplify]: Simplify (* 1 1) into 1
3.428 * [backup-simplify]: Simplify (/ 1 1) into 1
3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.428 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.428 * [taylor]: Taking taylor expansion of x in p
3.428 * [backup-simplify]: Simplify x into x
3.428 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.429 * [backup-simplify]: Simplify (* 4 1) into 4
3.429 * [backup-simplify]: Simplify (+ 4 0) into 4
3.429 * [backup-simplify]: Simplify (sqrt 4) into 2
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.431 * [backup-simplify]: Simplify (+ 0 0) into 0
3.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.431 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.431 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.431 * [taylor]: Taking taylor expansion of 4 in x
3.431 * [backup-simplify]: Simplify 4 into 4
3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.432 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.432 * [taylor]: Taking taylor expansion of p in x
3.432 * [backup-simplify]: Simplify p into p
3.432 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.432 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.432 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.432 * [taylor]: Taking taylor expansion of x in x
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 1 into 1
3.432 * [backup-simplify]: Simplify (* 1 1) into 1
3.432 * [backup-simplify]: Simplify (/ 1 1) into 1
3.433 * [backup-simplify]: Simplify (+ 0 1) into 1
3.433 * [backup-simplify]: Simplify (sqrt 1) into 1
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.434 * [backup-simplify]: Simplify (+ 0 0) into 0
3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.435 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.435 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.435 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.435 * [taylor]: Taking taylor expansion of 4 in x
3.435 * [backup-simplify]: Simplify 4 into 4
3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.435 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.435 * [taylor]: Taking taylor expansion of p in x
3.435 * [backup-simplify]: Simplify p into p
3.435 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.435 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.435 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.435 * [taylor]: Taking taylor expansion of x in x
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 1 into 1
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.436 * [backup-simplify]: Simplify (/ 1 1) into 1
3.437 * [backup-simplify]: Simplify (+ 0 1) into 1
3.437 * [backup-simplify]: Simplify (sqrt 1) into 1
3.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.438 * [backup-simplify]: Simplify (+ 0 0) into 0
3.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.439 * [taylor]: Taking taylor expansion of 1 in p
3.439 * [backup-simplify]: Simplify 1 into 1
3.439 * [taylor]: Taking taylor expansion of 0 in p
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 1 into 1
3.439 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.440 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.441 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.441 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.441 * [taylor]: Taking taylor expansion of 2 in p
3.441 * [backup-simplify]: Simplify 2 into 2
3.441 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.442 * [taylor]: Taking taylor expansion of p in p
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [backup-simplify]: Simplify (* 1 1) into 1
3.442 * [backup-simplify]: Simplify (/ 2 1) into 2
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.444 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.446 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.447 * [taylor]: Taking taylor expansion of 0 in p
3.447 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2)
3.451 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
3.451 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
3.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
3.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.451 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.451 * [taylor]: Taking taylor expansion of x in p
3.451 * [backup-simplify]: Simplify x into x
3.451 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.451 * [taylor]: Taking taylor expansion of 4 in p
3.451 * [backup-simplify]: Simplify 4 into 4
3.451 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.451 * [taylor]: Taking taylor expansion of p in p
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.451 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.451 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.451 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
3.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.452 * [taylor]: Taking taylor expansion of x in x
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.453 * [taylor]: Taking taylor expansion of 4 in x
3.453 * [backup-simplify]: Simplify 4 into 4
3.453 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.453 * [taylor]: Taking taylor expansion of p in x
3.453 * [backup-simplify]: Simplify p into p
3.453 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.453 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.453 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.453 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
3.453 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.454 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.455 * [backup-simplify]: Simplify (+ 0 0) into 0
3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
3.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
3.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.455 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.455 * [taylor]: Taking taylor expansion of x in x
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.455 * [taylor]: Taking taylor expansion of 4 in x
3.455 * [backup-simplify]: Simplify 4 into 4
3.455 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.455 * [taylor]: Taking taylor expansion of p in x
3.455 * [backup-simplify]: Simplify p into p
3.455 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.455 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.456 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.456 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
3.456 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.457 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.457 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
3.457 * [taylor]: Taking taylor expansion of (* 2 p) in p
3.457 * [taylor]: Taking taylor expansion of 2 in p
3.458 * [backup-simplify]: Simplify 2 into 2
3.458 * [taylor]: Taking taylor expansion of p in p
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 1 into 1
3.458 * [backup-simplify]: Simplify (* 2 0) into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [taylor]: Taking taylor expansion of 0 in p
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.459 * [backup-simplify]: Simplify 2 into 2
3.460 * [backup-simplify]: Simplify (* 1 1) into 1
3.460 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.461 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.462 * [backup-simplify]: Simplify (+ 1 0) into 1
3.463 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
3.463 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
3.463 * [taylor]: Taking taylor expansion of 1/4 in p
3.463 * [backup-simplify]: Simplify 1/4 into 1/4
3.463 * [taylor]: Taking taylor expansion of p in p
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
3.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.466 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.468 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
3.469 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
3.469 * [backup-simplify]: Simplify (+ 0 0) into 0
3.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
3.469 * [taylor]: Taking taylor expansion of 0 in p
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
3.471 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.471 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.471 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.471 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.471 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.471 * [taylor]: Taking taylor expansion of 4 in p
3.471 * [backup-simplify]: Simplify 4 into 4
3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.471 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.471 * [taylor]: Taking taylor expansion of p in p
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.472 * [backup-simplify]: Simplify (/ 1 1) into 1
3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.472 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.472 * [taylor]: Taking taylor expansion of x in p
3.472 * [backup-simplify]: Simplify x into x
3.472 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.473 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.473 * [backup-simplify]: Simplify (* 4 1) into 4
3.473 * [backup-simplify]: Simplify (+ 4 0) into 4
3.474 * [backup-simplify]: Simplify (sqrt 4) into 2
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.476 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.477 * [backup-simplify]: Simplify (+ 0 0) into 0
3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.477 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.477 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.477 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.477 * [taylor]: Taking taylor expansion of 4 in x
3.477 * [backup-simplify]: Simplify 4 into 4
3.477 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.477 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.478 * [taylor]: Taking taylor expansion of p in x
3.478 * [backup-simplify]: Simplify p into p
3.478 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.478 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.478 * [taylor]: Taking taylor expansion of x in x
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (* 1 1) into 1
3.479 * [backup-simplify]: Simplify (/ 1 1) into 1
3.479 * [backup-simplify]: Simplify (+ 0 1) into 1
3.480 * [backup-simplify]: Simplify (sqrt 1) into 1
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (+ 0 0) into 0
3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.482 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.482 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.482 * [taylor]: Taking taylor expansion of 4 in x
3.482 * [backup-simplify]: Simplify 4 into 4
3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.483 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.483 * [taylor]: Taking taylor expansion of p in x
3.483 * [backup-simplify]: Simplify p into p
3.483 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.483 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.483 * [taylor]: Taking taylor expansion of x in x
3.483 * [backup-simplify]: Simplify 0 into 0
3.483 * [backup-simplify]: Simplify 1 into 1
3.483 * [backup-simplify]: Simplify (* 1 1) into 1
3.484 * [backup-simplify]: Simplify (/ 1 1) into 1
3.484 * [backup-simplify]: Simplify (+ 0 1) into 1
3.485 * [backup-simplify]: Simplify (sqrt 1) into 1
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.487 * [backup-simplify]: Simplify (+ 0 0) into 0
3.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.488 * [taylor]: Taking taylor expansion of 1 in p
3.488 * [backup-simplify]: Simplify 1 into 1
3.488 * [taylor]: Taking taylor expansion of 0 in p
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify 1 into 1
3.488 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.492 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.492 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.492 * [taylor]: Taking taylor expansion of 2 in p
3.492 * [backup-simplify]: Simplify 2 into 2
3.492 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.492 * [taylor]: Taking taylor expansion of p in p
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (* 1 1) into 1
3.493 * [backup-simplify]: Simplify (/ 2 1) into 2
3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.496 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.499 * [backup-simplify]: Simplify (+ 0 0) into 0
3.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.499 * [taylor]: Taking taylor expansion of 0 in p
3.499 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.502 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.502 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.503 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.503 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.503 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.503 * [taylor]: Taking taylor expansion of 4 in p
3.503 * [backup-simplify]: Simplify 4 into 4
3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.503 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.503 * [taylor]: Taking taylor expansion of p in p
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (* 1 1) into 1
3.504 * [backup-simplify]: Simplify (/ 1 1) into 1
3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.504 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.504 * [taylor]: Taking taylor expansion of x in p
3.504 * [backup-simplify]: Simplify x into x
3.504 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.504 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.505 * [backup-simplify]: Simplify (* 4 1) into 4
3.505 * [backup-simplify]: Simplify (+ 4 0) into 4
3.505 * [backup-simplify]: Simplify (sqrt 4) into 2
3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.509 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.509 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.509 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.509 * [taylor]: Taking taylor expansion of 4 in x
3.509 * [backup-simplify]: Simplify 4 into 4
3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.509 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.509 * [taylor]: Taking taylor expansion of p in x
3.509 * [backup-simplify]: Simplify p into p
3.509 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.509 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.509 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.509 * [taylor]: Taking taylor expansion of x in x
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 1 into 1
3.510 * [backup-simplify]: Simplify (* 1 1) into 1
3.510 * [backup-simplify]: Simplify (/ 1 1) into 1
3.511 * [backup-simplify]: Simplify (+ 0 1) into 1
3.511 * [backup-simplify]: Simplify (sqrt 1) into 1
3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify (+ 0 0) into 0
3.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.514 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.514 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.514 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.514 * [taylor]: Taking taylor expansion of 4 in x
3.514 * [backup-simplify]: Simplify 4 into 4
3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.514 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.514 * [taylor]: Taking taylor expansion of p in x
3.514 * [backup-simplify]: Simplify p into p
3.514 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.515 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.515 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.515 * [taylor]: Taking taylor expansion of x in x
3.515 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify 1 into 1
3.515 * [backup-simplify]: Simplify (* 1 1) into 1
3.516 * [backup-simplify]: Simplify (/ 1 1) into 1
3.516 * [backup-simplify]: Simplify (+ 0 1) into 1
3.517 * [backup-simplify]: Simplify (sqrt 1) into 1
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ 0 0) into 0
3.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.520 * [taylor]: Taking taylor expansion of 1 in p
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [taylor]: Taking taylor expansion of 0 in p
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.522 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.524 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.524 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.524 * [taylor]: Taking taylor expansion of 2 in p
3.524 * [backup-simplify]: Simplify 2 into 2
3.524 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.524 * [taylor]: Taking taylor expansion of p in p
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (* 1 1) into 1
3.525 * [backup-simplify]: Simplify (/ 2 1) into 2
3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.528 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.531 * [backup-simplify]: Simplify (+ 0 0) into 0
3.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.532 * [taylor]: Taking taylor expansion of 0 in p
3.532 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.534 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
3.535 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
3.535 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
3.535 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
3.535 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.535 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.535 * [taylor]: Taking taylor expansion of x in p
3.535 * [backup-simplify]: Simplify x into x
3.535 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.535 * [taylor]: Taking taylor expansion of 4 in p
3.535 * [backup-simplify]: Simplify 4 into 4
3.535 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.535 * [taylor]: Taking taylor expansion of p in p
3.535 * [backup-simplify]: Simplify 0 into 0
3.535 * [backup-simplify]: Simplify 1 into 1
3.535 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.535 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.535 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.535 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.536 * [backup-simplify]: Simplify (+ 0 0) into 0
3.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
3.536 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.536 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.536 * [taylor]: Taking taylor expansion of x in x
3.536 * [backup-simplify]: Simplify 0 into 0
3.537 * [backup-simplify]: Simplify 1 into 1
3.537 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.537 * [taylor]: Taking taylor expansion of 4 in x
3.537 * [backup-simplify]: Simplify 4 into 4
3.537 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.537 * [taylor]: Taking taylor expansion of p in x
3.537 * [backup-simplify]: Simplify p into p
3.537 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.537 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.537 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.537 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
3.537 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.538 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
3.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
3.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.539 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.539 * [taylor]: Taking taylor expansion of x in x
3.539 * [backup-simplify]: Simplify 0 into 0
3.539 * [backup-simplify]: Simplify 1 into 1
3.539 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.539 * [taylor]: Taking taylor expansion of 4 in x
3.539 * [backup-simplify]: Simplify 4 into 4
3.539 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.539 * [taylor]: Taking taylor expansion of p in x
3.539 * [backup-simplify]: Simplify p into p
3.539 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.539 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.539 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.539 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
3.539 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.540 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
3.540 * [taylor]: Taking taylor expansion of (* 2 p) in p
3.540 * [taylor]: Taking taylor expansion of 2 in p
3.540 * [backup-simplify]: Simplify 2 into 2
3.540 * [taylor]: Taking taylor expansion of p in p
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (* 2 0) into 0
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [taylor]: Taking taylor expansion of 0 in p
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.542 * [backup-simplify]: Simplify 2 into 2
3.542 * [backup-simplify]: Simplify (* 1 1) into 1
3.543 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.544 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.544 * [backup-simplify]: Simplify (+ 1 0) into 1
3.545 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
3.545 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
3.545 * [taylor]: Taking taylor expansion of 1/4 in p
3.545 * [backup-simplify]: Simplify 1/4 into 1/4
3.545 * [taylor]: Taking taylor expansion of p in p
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify 1 into 1
3.546 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
3.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.548 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.550 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
3.551 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
3.551 * [backup-simplify]: Simplify (+ 0 0) into 0
3.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
3.551 * [taylor]: Taking taylor expansion of 0 in p
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
3.553 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.553 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.553 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.553 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.553 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.553 * [taylor]: Taking taylor expansion of 4 in p
3.553 * [backup-simplify]: Simplify 4 into 4
3.553 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.554 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.554 * [taylor]: Taking taylor expansion of p in p
3.554 * [backup-simplify]: Simplify 0 into 0
3.554 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (* 1 1) into 1
3.555 * [backup-simplify]: Simplify (/ 1 1) into 1
3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.555 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.555 * [taylor]: Taking taylor expansion of x in p
3.555 * [backup-simplify]: Simplify x into x
3.555 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.555 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.555 * [backup-simplify]: Simplify (* 4 1) into 4
3.556 * [backup-simplify]: Simplify (+ 4 0) into 4
3.556 * [backup-simplify]: Simplify (sqrt 4) into 2
3.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.560 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.560 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.560 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.560 * [taylor]: Taking taylor expansion of 4 in x
3.560 * [backup-simplify]: Simplify 4 into 4
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.560 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.560 * [taylor]: Taking taylor expansion of p in x
3.560 * [backup-simplify]: Simplify p into p
3.560 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.560 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.560 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.560 * [taylor]: Taking taylor expansion of x in x
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.561 * [backup-simplify]: Simplify (* 1 1) into 1
3.561 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [backup-simplify]: Simplify (+ 0 1) into 1
3.562 * [backup-simplify]: Simplify (sqrt 1) into 1
3.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.564 * [backup-simplify]: Simplify (+ 0 0) into 0
3.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.565 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.565 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.565 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.565 * [taylor]: Taking taylor expansion of 4 in x
3.565 * [backup-simplify]: Simplify 4 into 4
3.565 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.565 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.565 * [taylor]: Taking taylor expansion of p in x
3.565 * [backup-simplify]: Simplify p into p
3.566 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.566 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.566 * [taylor]: Taking taylor expansion of x in x
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.567 * [backup-simplify]: Simplify (/ 1 1) into 1
3.567 * [backup-simplify]: Simplify (+ 0 1) into 1
3.568 * [backup-simplify]: Simplify (sqrt 1) into 1
3.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ 0 0) into 0
3.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.571 * [taylor]: Taking taylor expansion of 1 in p
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [taylor]: Taking taylor expansion of 0 in p
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.573 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.575 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.575 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.575 * [taylor]: Taking taylor expansion of 2 in p
3.575 * [backup-simplify]: Simplify 2 into 2
3.575 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.575 * [taylor]: Taking taylor expansion of p in p
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify 1 into 1
3.575 * [backup-simplify]: Simplify (* 1 1) into 1
3.576 * [backup-simplify]: Simplify (/ 2 1) into 2
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.579 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (+ 0 0) into 0
3.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.587 * [taylor]: Taking taylor expansion of 0 in p
3.587 * [backup-simplify]: Simplify 0 into 0
3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.590 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.590 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.590 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.590 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.590 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.590 * [taylor]: Taking taylor expansion of 4 in p
3.590 * [backup-simplify]: Simplify 4 into 4
3.590 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.590 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.590 * [taylor]: Taking taylor expansion of p in p
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 1 into 1
3.590 * [backup-simplify]: Simplify (* 1 1) into 1
3.590 * [backup-simplify]: Simplify (/ 1 1) into 1
3.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.590 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.590 * [taylor]: Taking taylor expansion of x in p
3.590 * [backup-simplify]: Simplify x into x
3.591 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.591 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.591 * [backup-simplify]: Simplify (* 4 1) into 4
3.591 * [backup-simplify]: Simplify (+ 4 0) into 4
3.592 * [backup-simplify]: Simplify (sqrt 4) into 2
3.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.593 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.594 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.594 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.594 * [taylor]: Taking taylor expansion of 4 in x
3.594 * [backup-simplify]: Simplify 4 into 4
3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.594 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.594 * [taylor]: Taking taylor expansion of p in x
3.594 * [backup-simplify]: Simplify p into p
3.594 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.594 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.594 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.594 * [taylor]: Taking taylor expansion of x in x
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [backup-simplify]: Simplify (* 1 1) into 1
3.595 * [backup-simplify]: Simplify (/ 1 1) into 1
3.595 * [backup-simplify]: Simplify (+ 0 1) into 1
3.595 * [backup-simplify]: Simplify (sqrt 1) into 1
3.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.597 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.597 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.597 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.597 * [taylor]: Taking taylor expansion of 4 in x
3.597 * [backup-simplify]: Simplify 4 into 4
3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.597 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.597 * [taylor]: Taking taylor expansion of p in x
3.597 * [backup-simplify]: Simplify p into p
3.597 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.597 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.597 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.597 * [taylor]: Taking taylor expansion of x in x
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.598 * [backup-simplify]: Simplify (* 1 1) into 1
3.598 * [backup-simplify]: Simplify (/ 1 1) into 1
3.599 * [backup-simplify]: Simplify (+ 0 1) into 1
3.599 * [backup-simplify]: Simplify (sqrt 1) into 1
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.600 * [backup-simplify]: Simplify (+ 0 0) into 0
3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.601 * [taylor]: Taking taylor expansion of 1 in p
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of 0 in p
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.603 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.603 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.603 * [taylor]: Taking taylor expansion of 2 in p
3.603 * [backup-simplify]: Simplify 2 into 2
3.603 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.603 * [taylor]: Taking taylor expansion of p in p
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify (* 1 1) into 1
3.604 * [backup-simplify]: Simplify (/ 2 1) into 2
3.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.605 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.607 * [backup-simplify]: Simplify (+ 0 0) into 0
3.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.607 * [taylor]: Taking taylor expansion of 0 in p
3.607 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.609 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2)
3.609 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* p 4) p))) into (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2))))
3.609 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
3.609 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in p
3.609 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.609 * [taylor]: Taking taylor expansion of x in p
3.609 * [backup-simplify]: Simplify x into x
3.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.609 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.609 * [taylor]: Taking taylor expansion of x in p
3.609 * [backup-simplify]: Simplify x into x
3.609 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.609 * [taylor]: Taking taylor expansion of 4 in p
3.609 * [backup-simplify]: Simplify 4 into 4
3.609 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.609 * [taylor]: Taking taylor expansion of p in p
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.609 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.609 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.610 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.610 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x
3.610 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.610 * [taylor]: Taking taylor expansion of x in x
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.610 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.610 * [taylor]: Taking taylor expansion of x in x
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.610 * [taylor]: Taking taylor expansion of 4 in x
3.610 * [backup-simplify]: Simplify 4 into 4
3.610 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.610 * [taylor]: Taking taylor expansion of p in x
3.610 * [backup-simplify]: Simplify p into p
3.610 * [backup-simplify]: Simplify (* 1 1) into 1
3.610 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.610 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.610 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.610 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
3.611 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x
3.611 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.611 * [taylor]: Taking taylor expansion of x in x
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.611 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.611 * [taylor]: Taking taylor expansion of x in x
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.611 * [taylor]: Taking taylor expansion of 4 in x
3.611 * [backup-simplify]: Simplify 4 into 4
3.611 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.611 * [taylor]: Taking taylor expansion of p in x
3.611 * [backup-simplify]: Simplify p into p
3.611 * [backup-simplify]: Simplify (* 1 1) into 1
3.611 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.611 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.611 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.611 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
3.611 * [taylor]: Taking taylor expansion of (/ 1/4 (pow p 2)) in p
3.611 * [taylor]: Taking taylor expansion of 1/4 in p
3.611 * [backup-simplify]: Simplify 1/4 into 1/4
3.611 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.611 * [taylor]: Taking taylor expansion of p in p
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify 1 into 1
3.612 * [backup-simplify]: Simplify (* 1 1) into 1
3.612 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
3.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.615 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.615 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.616 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
3.616 * [taylor]: Taking taylor expansion of 0 in p
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.617 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.619 * [backup-simplify]: Simplify (* 1 1) into 1
3.619 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.620 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.620 * [backup-simplify]: Simplify (+ 1 0) into 1
3.620 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
3.620 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow p 4)))) in p
3.620 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow p 4))) in p
3.620 * [taylor]: Taking taylor expansion of 1/16 in p
3.620 * [backup-simplify]: Simplify 1/16 into 1/16
3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p
3.620 * [taylor]: Taking taylor expansion of (pow p 4) in p
3.620 * [taylor]: Taking taylor expansion of p in p
3.620 * [backup-simplify]: Simplify 0 into 0
3.620 * [backup-simplify]: Simplify 1 into 1
3.621 * [backup-simplify]: Simplify (* 1 1) into 1
3.621 * [backup-simplify]: Simplify (* 1 1) into 1
3.621 * [backup-simplify]: Simplify (/ 1 1) into 1
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.633 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.634 * [backup-simplify]: Simplify (- 0) into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))
3.637 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0
3.637 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
3.637 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.637 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.637 * [taylor]: Taking taylor expansion of x in p
3.637 * [backup-simplify]: Simplify x into x
3.637 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.637 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.637 * [taylor]: Taking taylor expansion of 4 in p
3.637 * [backup-simplify]: Simplify 4 into 4
3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.637 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.637 * [taylor]: Taking taylor expansion of p in p
3.637 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.638 * [backup-simplify]: Simplify (* 1 1) into 1
3.639 * [backup-simplify]: Simplify (/ 1 1) into 1
3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.639 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.639 * [taylor]: Taking taylor expansion of x in p
3.639 * [backup-simplify]: Simplify x into x
3.639 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.639 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.639 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.640 * [backup-simplify]: Simplify (* 4 1) into 4
3.640 * [backup-simplify]: Simplify (+ 4 0) into 4
3.640 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2))
3.640 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2))
3.640 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.640 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.640 * [taylor]: Taking taylor expansion of x in x
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.641 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.641 * [taylor]: Taking taylor expansion of 4 in x
3.641 * [backup-simplify]: Simplify 4 into 4
3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.641 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.641 * [taylor]: Taking taylor expansion of p in x
3.641 * [backup-simplify]: Simplify p into p
3.641 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.641 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.641 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.641 * [taylor]: Taking taylor expansion of x in x
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify (* 1 1) into 1
3.642 * [backup-simplify]: Simplify (/ 1 1) into 1
3.642 * [backup-simplify]: Simplify (* 1 1) into 1
3.643 * [backup-simplify]: Simplify (+ 0 1) into 1
3.643 * [backup-simplify]: Simplify (* 1 1) into 1
3.644 * [backup-simplify]: Simplify (/ 1 1) into 1
3.644 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.644 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.644 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.644 * [taylor]: Taking taylor expansion of x in x
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 1 into 1
3.644 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.644 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.644 * [taylor]: Taking taylor expansion of 4 in x
3.644 * [backup-simplify]: Simplify 4 into 4
3.644 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.644 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.644 * [taylor]: Taking taylor expansion of p in x
3.644 * [backup-simplify]: Simplify p into p
3.644 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.644 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.645 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.645 * [taylor]: Taking taylor expansion of x in x
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.645 * [backup-simplify]: Simplify (* 1 1) into 1
3.645 * [backup-simplify]: Simplify (/ 1 1) into 1
3.646 * [backup-simplify]: Simplify (* 1 1) into 1
3.646 * [backup-simplify]: Simplify (+ 0 1) into 1
3.647 * [backup-simplify]: Simplify (* 1 1) into 1
3.648 * [backup-simplify]: Simplify (/ 1 1) into 1
3.648 * [taylor]: Taking taylor expansion of 1 in p
3.648 * [backup-simplify]: Simplify 1 into 1
3.648 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (+ 0 0) into 0
3.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.652 * [taylor]: Taking taylor expansion of 0 in p
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.654 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.655 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2)))
3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
3.656 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p
3.656 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.656 * [taylor]: Taking taylor expansion of 4 in p
3.656 * [backup-simplify]: Simplify 4 into 4
3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.656 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.656 * [taylor]: Taking taylor expansion of p in p
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (/ 1 1) into 1
3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.662 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.662 * [backup-simplify]: Simplify (- 0) into 0
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))
3.663 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0
3.663 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
3.663 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.663 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.663 * [taylor]: Taking taylor expansion of x in p
3.663 * [backup-simplify]: Simplify x into x
3.663 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.663 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.663 * [taylor]: Taking taylor expansion of 4 in p
3.663 * [backup-simplify]: Simplify 4 into 4
3.663 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.663 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.663 * [taylor]: Taking taylor expansion of p in p
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify 1 into 1
3.663 * [backup-simplify]: Simplify (* 1 1) into 1
3.664 * [backup-simplify]: Simplify (/ 1 1) into 1
3.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.664 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.664 * [taylor]: Taking taylor expansion of x in p
3.664 * [backup-simplify]: Simplify x into x
3.664 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.664 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.664 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.664 * [backup-simplify]: Simplify (* 4 1) into 4
3.665 * [backup-simplify]: Simplify (+ 4 0) into 4
3.665 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2))
3.665 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2))
3.665 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.665 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.665 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.665 * [taylor]: Taking taylor expansion of x in x
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.665 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.665 * [taylor]: Taking taylor expansion of 4 in x
3.665 * [backup-simplify]: Simplify 4 into 4
3.665 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.665 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.665 * [taylor]: Taking taylor expansion of p in x
3.665 * [backup-simplify]: Simplify p into p
3.665 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.665 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.665 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.665 * [taylor]: Taking taylor expansion of x in x
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (* 1 1) into 1
3.666 * [backup-simplify]: Simplify (/ 1 1) into 1
3.666 * [backup-simplify]: Simplify (* 1 1) into 1
3.666 * [backup-simplify]: Simplify (+ 0 1) into 1
3.667 * [backup-simplify]: Simplify (* 1 1) into 1
3.667 * [backup-simplify]: Simplify (/ 1 1) into 1
3.667 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.667 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.667 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.667 * [taylor]: Taking taylor expansion of x in x
3.667 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify 1 into 1
3.667 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.667 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.667 * [taylor]: Taking taylor expansion of 4 in x
3.667 * [backup-simplify]: Simplify 4 into 4
3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.667 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.667 * [taylor]: Taking taylor expansion of p in x
3.667 * [backup-simplify]: Simplify p into p
3.667 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.667 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.667 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.667 * [taylor]: Taking taylor expansion of x in x
3.667 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (* 1 1) into 1
3.668 * [backup-simplify]: Simplify (/ 1 1) into 1
3.668 * [backup-simplify]: Simplify (* 1 1) into 1
3.668 * [backup-simplify]: Simplify (+ 0 1) into 1
3.669 * [backup-simplify]: Simplify (* 1 1) into 1
3.669 * [backup-simplify]: Simplify (/ 1 1) into 1
3.669 * [taylor]: Taking taylor expansion of 1 in p
3.669 * [backup-simplify]: Simplify 1 into 1
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.670 * [backup-simplify]: Simplify (+ 0 0) into 0
3.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.672 * [taylor]: Taking taylor expansion of 0 in p
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.673 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.674 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2)))
3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
3.675 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p
3.675 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.675 * [taylor]: Taking taylor expansion of 4 in p
3.675 * [backup-simplify]: Simplify 4 into 4
3.675 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.675 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.675 * [taylor]: Taking taylor expansion of p in p
3.675 * [backup-simplify]: Simplify 0 into 0
3.675 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.675 * [backup-simplify]: Simplify (/ 1 1) into 1
3.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.681 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.681 * [backup-simplify]: Simplify (- 0) into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * * * [progress]: simplifying candidates
3.682 * * * * [progress]: [ 1 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) 1/2))))))))>
3.682 * * * * [progress]: [ 2 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))))))))>
3.682 * * * * [progress]: [ 3 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 4 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 5 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 6 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 7 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 8 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 9 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
3.682 * * * * [progress]: [ 10 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))))))))>
3.682 * * * * [progress]: [ 11 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))))))))>
3.682 * * * * [progress]: [ 12 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))))))))>
3.682 * * * * [progress]: [ 13 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.682 * * * * [progress]: [ 14 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
3.683 * * * * [progress]: [ 15 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
3.683 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
3.683 * * * * [progress]: [ 17 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) 1/2)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 18 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 19 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 20 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 21 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 22 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 23 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 24 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 25 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 26 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 27 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 28 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 29 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 30 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.683 * * * * [progress]: [ 31 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 32 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 33 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (pow (+ (* x x) (* (* p 4) p)) 1/2)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 34 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 35 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 36 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 37 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 38 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 39 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 40 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 41 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 42 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 43 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 44 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 45 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 46 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.684 * * * * [progress]: [ 47 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 48 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 49 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (pow (/ (* x x) (+ (* x x) (* (* p 4) p))) 1))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 50 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (- (+ (log x) (log x)) (log (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 51 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (- (log (* x x)) (log (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 52 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (log (/ (* x x) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 53 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (log (exp (/ (* x x) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 54 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 55 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 56 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.685 * * * * [progress]: [ 57 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ (* x x) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 58 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 59 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (- (* x x)) (- (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 60 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (/ x (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (/ x (cbrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 61 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 62 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (/ x 1) (/ x (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 63 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* 1 (/ (* x x) (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 64 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 65 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ 1 (/ (+ (* x x) (* (* p 4) p)) (* x x))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 66 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (/ (* x x) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (cbrt (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 67 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.686 * * * * [progress]: [ 68 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (/ (* x x) 1) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 69 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ x (/ (+ (* x x) (* (* p 4) p)) x)))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 70 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (/ (* x x) (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 71 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (/ (* x x) (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (- (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 72 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (posit16->real (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 73 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* 2 p))))))))>
3.687 * * * * [progress]: [ 74 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) x)))))))>
3.687 * * * * [progress]: [ 75 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* -1 x))))))))>
3.687 * * * * [progress]: [ 76 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 77 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) x) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 78 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* -1 x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.687 * * * * [progress]: [ 79 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* 2 p)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.688 * * * * [progress]: [ 80 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) x) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.688 * * * * [progress]: [ 81 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* -1 x)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.688 * * * * [progress]: [ 82 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x 0)) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.688 * * * * [progress]: [ 83 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x 0)) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.688 * * * * [progress]: [ 84 / 84 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x 0)) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
3.689 * [simplify]: Simplifying (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (- (+ (log x) (log x)) (log (+ (* x x) (* (* p 4) p)))), (- (log (* x x)) (log (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (exp (/ (* x x) (+ (* x x) (* (* p 4) p)))), (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)))), (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)))), (* (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))), (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ (* x x) (+ (* x x) (* (* p 4) p)))), (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (- (* x x)), (- (+ (* x x) (* (* p 4) p))), (/ x (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (/ x (cbrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ x 1), (/ x (+ (* x x) (* (* p 4) p))), (/ 1 (+ (* x x) (* (* p 4) p))), (/ (+ (* x x) (* (* p 4) p)) (* x x)), (/ (* x x) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))), (/ (* x x) 1), (/ (+ (* x x) (* (* p 4) p)) x), (/ (* x x) (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (/ (* x x) (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x), 0, 0, 0
3.692 * * [simplify]: iteration 1: (80 enodes)
3.731 * * [simplify]: iteration 2: (339 enodes)
3.854 * * [simplify]: iteration 3: (992 enodes)
4.667 * * [simplify]: Extracting #0: cost 41 inf + 0
4.667 * * [simplify]: Extracting #1: cost 247 inf + 45
4.670 * * [simplify]: Extracting #2: cost 512 inf + 1120
4.676 * * [simplify]: Extracting #3: cost 641 inf + 21384
4.702 * * [simplify]: Extracting #4: cost 373 inf + 106192
4.766 * * [simplify]: Extracting #5: cost 31 inf + 199701
4.867 * * [simplify]: Extracting #6: cost 0 inf + 208531
4.966 * * [simplify]: Extracting #7: cost 0 inf + 208491
5.066 * [simplify]: Simplified to (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))), (sqrt (+ (* (* x x) (- (* x x) (* (* p 4) p))) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))), (sqrt (+ (* (* x x) (- (* x x) (* (* p 4) p))) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))), (sqrt (+ (* (* x x) (- (* x x) (* (* p 4) p))) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (exp (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (* (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))), (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (- x) x), (- (* p (* -4 p)) (* x x)), (/ (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))), (/ x (cbrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), x, (/ x (+ (* x x) (* (* p 4) p))), (/ 1 (+ (* x x) (* (* p 4) p))), (/ (+ (* x x) (* (* p 4) p)) (* x x)), (/ (/ (* x x) (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))), (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))), (* x x), (/ (+ (* x x) (* (* p 4) p)) x), (/ (* x x) (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))), (/ (/ (* x x) (+ (* x x) (* (* p 4) p))) (- (* x x) (* (* p 4) p))), (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* p 2), x, (- x), (* p 2), x, (- x), (* p 2), x, (- x), 0, 0, 0
5.098 * * * [progress]: adding candidates to table
6.672 * * [progress]: iteration 3 / 4
6.672 * * * [progress]: picking best candidate
6.750 * * * * [pick]: Picked  #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
6.750 * * * [progress]: localizing error
6.850 * * * [progress]: generating rewritten candidates
6.850 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 2)
6.856 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2)
6.868 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
6.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2)
6.954 * * * [progress]: generating series expansions
6.955 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 2)
6.955 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.955 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.955 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.955 * [taylor]: Taking taylor expansion of x in p
6.955 * [backup-simplify]: Simplify x into x
6.955 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.956 * [taylor]: Taking taylor expansion of 4 in p
6.956 * [backup-simplify]: Simplify 4 into 4
6.956 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.956 * [taylor]: Taking taylor expansion of p in p
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.956 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.956 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.956 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.958 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.958 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.958 * [taylor]: Taking taylor expansion of x in x
6.958 * [backup-simplify]: Simplify 0 into 0
6.958 * [backup-simplify]: Simplify 1 into 1
6.958 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.958 * [taylor]: Taking taylor expansion of 4 in x
6.958 * [backup-simplify]: Simplify 4 into 4
6.958 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.958 * [taylor]: Taking taylor expansion of p in x
6.958 * [backup-simplify]: Simplify p into p
6.958 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.958 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.958 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.959 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.959 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.960 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.961 * [backup-simplify]: Simplify (+ 0 0) into 0
6.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.961 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.961 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.961 * [taylor]: Taking taylor expansion of x in x
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify 1 into 1
6.961 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.962 * [taylor]: Taking taylor expansion of 4 in x
6.962 * [backup-simplify]: Simplify 4 into 4
6.962 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.962 * [taylor]: Taking taylor expansion of p in x
6.962 * [backup-simplify]: Simplify p into p
6.962 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.962 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.962 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.962 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.962 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.963 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.963 * [backup-simplify]: Simplify (+ 0 0) into 0
6.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.964 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.964 * [taylor]: Taking taylor expansion of 2 in p
6.964 * [backup-simplify]: Simplify 2 into 2
6.964 * [taylor]: Taking taylor expansion of p in p
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify 1 into 1
6.964 * [backup-simplify]: Simplify (* 2 0) into 0
6.964 * [backup-simplify]: Simplify 0 into 0
6.965 * [taylor]: Taking taylor expansion of 0 in p
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.966 * [backup-simplify]: Simplify 2 into 2
6.966 * [backup-simplify]: Simplify (* 1 1) into 1
6.967 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.968 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.968 * [backup-simplify]: Simplify (+ 1 0) into 1
6.969 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.969 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.969 * [taylor]: Taking taylor expansion of 1/4 in p
6.969 * [backup-simplify]: Simplify 1/4 into 1/4
6.969 * [taylor]: Taking taylor expansion of p in p
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.970 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.972 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.974 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.975 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.976 * [backup-simplify]: Simplify (+ 0 0) into 0
6.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.976 * [taylor]: Taking taylor expansion of 0 in p
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.977 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.977 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.977 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.977 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.977 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.977 * [taylor]: Taking taylor expansion of 4 in p
6.977 * [backup-simplify]: Simplify 4 into 4
6.977 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.977 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.977 * [taylor]: Taking taylor expansion of p in p
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 1 into 1
6.978 * [backup-simplify]: Simplify (* 1 1) into 1
6.978 * [backup-simplify]: Simplify (/ 1 1) into 1
6.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.978 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.978 * [taylor]: Taking taylor expansion of x in p
6.978 * [backup-simplify]: Simplify x into x
6.978 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.978 * [backup-simplify]: Simplify (* 4 1) into 4
6.979 * [backup-simplify]: Simplify (+ 4 0) into 4
6.979 * [backup-simplify]: Simplify (sqrt 4) into 2
6.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.980 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.981 * [backup-simplify]: Simplify (+ 0 0) into 0
6.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.981 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.981 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.981 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.981 * [taylor]: Taking taylor expansion of 4 in x
6.981 * [backup-simplify]: Simplify 4 into 4
6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.981 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.981 * [taylor]: Taking taylor expansion of p in x
6.981 * [backup-simplify]: Simplify p into p
6.981 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.981 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.981 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.981 * [taylor]: Taking taylor expansion of x in x
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.982 * [backup-simplify]: Simplify (* 1 1) into 1
6.982 * [backup-simplify]: Simplify (/ 1 1) into 1
6.982 * [backup-simplify]: Simplify (+ 0 1) into 1
6.982 * [backup-simplify]: Simplify (sqrt 1) into 1
6.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.984 * [backup-simplify]: Simplify (+ 0 0) into 0
6.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.984 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.984 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.984 * [taylor]: Taking taylor expansion of 4 in x
6.984 * [backup-simplify]: Simplify 4 into 4
6.984 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.984 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.984 * [taylor]: Taking taylor expansion of p in x
6.984 * [backup-simplify]: Simplify p into p
6.984 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.984 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.984 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.984 * [taylor]: Taking taylor expansion of x in x
6.984 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify 1 into 1
6.985 * [backup-simplify]: Simplify (* 1 1) into 1
6.985 * [backup-simplify]: Simplify (/ 1 1) into 1
6.985 * [backup-simplify]: Simplify (+ 0 1) into 1
6.985 * [backup-simplify]: Simplify (sqrt 1) into 1
6.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.986 * [backup-simplify]: Simplify (+ 0 0) into 0
6.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.987 * [taylor]: Taking taylor expansion of 1 in p
6.987 * [backup-simplify]: Simplify 1 into 1
6.987 * [taylor]: Taking taylor expansion of 0 in p
6.987 * [backup-simplify]: Simplify 0 into 0
6.987 * [backup-simplify]: Simplify 1 into 1
6.987 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.988 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.989 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.989 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.989 * [taylor]: Taking taylor expansion of 2 in p
6.989 * [backup-simplify]: Simplify 2 into 2
6.989 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.989 * [taylor]: Taking taylor expansion of p in p
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 1 into 1
6.990 * [backup-simplify]: Simplify (* 1 1) into 1
6.990 * [backup-simplify]: Simplify (/ 2 1) into 2
6.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.991 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.993 * [backup-simplify]: Simplify (+ 0 0) into 0
6.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.993 * [taylor]: Taking taylor expansion of 0 in p
6.993 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.995 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.995 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.995 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.995 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.995 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.995 * [taylor]: Taking taylor expansion of 4 in p
6.995 * [backup-simplify]: Simplify 4 into 4
6.995 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.995 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.995 * [taylor]: Taking taylor expansion of p in p
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify 1 into 1
6.995 * [backup-simplify]: Simplify (* 1 1) into 1
6.996 * [backup-simplify]: Simplify (/ 1 1) into 1
6.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.996 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.996 * [taylor]: Taking taylor expansion of x in p
6.996 * [backup-simplify]: Simplify x into x
6.996 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.996 * [backup-simplify]: Simplify (* 4 1) into 4
6.996 * [backup-simplify]: Simplify (+ 4 0) into 4
6.997 * [backup-simplify]: Simplify (sqrt 4) into 2
6.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.998 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.998 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.999 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.999 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.999 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.999 * [taylor]: Taking taylor expansion of 4 in x
6.999 * [backup-simplify]: Simplify 4 into 4
6.999 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.999 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.999 * [taylor]: Taking taylor expansion of p in x
6.999 * [backup-simplify]: Simplify p into p
6.999 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.999 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.999 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.999 * [taylor]: Taking taylor expansion of x in x
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 1 into 1
6.999 * [backup-simplify]: Simplify (* 1 1) into 1
6.999 * [backup-simplify]: Simplify (/ 1 1) into 1
7.000 * [backup-simplify]: Simplify (+ 0 1) into 1
7.000 * [backup-simplify]: Simplify (sqrt 1) into 1
7.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.004 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.004 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.004 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.004 * [taylor]: Taking taylor expansion of 4 in x
7.004 * [backup-simplify]: Simplify 4 into 4
7.004 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.004 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.004 * [taylor]: Taking taylor expansion of p in x
7.004 * [backup-simplify]: Simplify p into p
7.005 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.005 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.005 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.005 * [taylor]: Taking taylor expansion of x in x
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 1 into 1
7.006 * [backup-simplify]: Simplify (* 1 1) into 1
7.006 * [backup-simplify]: Simplify (/ 1 1) into 1
7.007 * [backup-simplify]: Simplify (+ 0 1) into 1
7.007 * [backup-simplify]: Simplify (sqrt 1) into 1
7.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.009 * [backup-simplify]: Simplify (+ 0 0) into 0
7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.010 * [taylor]: Taking taylor expansion of 1 in p
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [taylor]: Taking taylor expansion of 0 in p
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.012 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.014 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
7.014 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
7.014 * [taylor]: Taking taylor expansion of 2 in p
7.014 * [backup-simplify]: Simplify 2 into 2
7.014 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.014 * [taylor]: Taking taylor expansion of p in p
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.015 * [backup-simplify]: Simplify (* 1 1) into 1
7.015 * [backup-simplify]: Simplify (/ 2 1) into 2
7.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.018 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.021 * [backup-simplify]: Simplify (+ 0 0) into 0
7.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
7.022 * [taylor]: Taking taylor expansion of 0 in p
7.022 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.025 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2)
7.025 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
7.025 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
7.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
7.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
7.025 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.025 * [taylor]: Taking taylor expansion of x in p
7.025 * [backup-simplify]: Simplify x into x
7.025 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
7.025 * [taylor]: Taking taylor expansion of 4 in p
7.025 * [backup-simplify]: Simplify 4 into 4
7.025 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.025 * [taylor]: Taking taylor expansion of p in p
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 1 into 1
7.025 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.025 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.025 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.026 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.026 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
7.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.026 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.026 * [taylor]: Taking taylor expansion of x in x
7.026 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify 1 into 1
7.026 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.027 * [taylor]: Taking taylor expansion of 4 in x
7.027 * [backup-simplify]: Simplify 4 into 4
7.027 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.027 * [taylor]: Taking taylor expansion of p in x
7.027 * [backup-simplify]: Simplify p into p
7.027 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.027 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.027 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.027 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
7.027 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.028 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
7.028 * [backup-simplify]: Simplify (+ 0 0) into 0
7.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
7.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
7.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.028 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.028 * [taylor]: Taking taylor expansion of x in x
7.028 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.029 * [taylor]: Taking taylor expansion of 4 in x
7.029 * [backup-simplify]: Simplify 4 into 4
7.029 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.029 * [taylor]: Taking taylor expansion of p in x
7.029 * [backup-simplify]: Simplify p into p
7.029 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.029 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.029 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.029 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
7.029 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.030 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
7.030 * [taylor]: Taking taylor expansion of (* 2 p) in p
7.031 * [taylor]: Taking taylor expansion of 2 in p
7.031 * [backup-simplify]: Simplify 2 into 2
7.031 * [taylor]: Taking taylor expansion of p in p
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify 1 into 1
7.031 * [backup-simplify]: Simplify (* 2 0) into 0
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in p
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.032 * [backup-simplify]: Simplify 2 into 2
7.032 * [backup-simplify]: Simplify (* 1 1) into 1
7.033 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.034 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.034 * [backup-simplify]: Simplify (+ 1 0) into 1
7.035 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
7.035 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
7.035 * [taylor]: Taking taylor expansion of 1/4 in p
7.035 * [backup-simplify]: Simplify 1/4 into 1/4
7.035 * [taylor]: Taking taylor expansion of p in p
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 1 into 1
7.036 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
7.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.038 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
7.039 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
7.039 * [taylor]: Taking taylor expansion of 0 in p
7.039 * [backup-simplify]: Simplify 0 into 0
7.039 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.040 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
7.040 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.040 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.040 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.040 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.040 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.040 * [taylor]: Taking taylor expansion of 4 in p
7.040 * [backup-simplify]: Simplify 4 into 4
7.041 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.041 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.041 * [taylor]: Taking taylor expansion of p in p
7.041 * [backup-simplify]: Simplify 0 into 0
7.041 * [backup-simplify]: Simplify 1 into 1
7.041 * [backup-simplify]: Simplify (* 1 1) into 1
7.041 * [backup-simplify]: Simplify (/ 1 1) into 1
7.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.041 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.041 * [taylor]: Taking taylor expansion of x in p
7.041 * [backup-simplify]: Simplify x into x
7.041 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.042 * [backup-simplify]: Simplify (* 4 1) into 4
7.042 * [backup-simplify]: Simplify (+ 4 0) into 4
7.042 * [backup-simplify]: Simplify (sqrt 4) into 2
7.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.044 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.044 * [backup-simplify]: Simplify (+ 0 0) into 0
7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
7.044 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.044 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.044 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.044 * [taylor]: Taking taylor expansion of 4 in x
7.044 * [backup-simplify]: Simplify 4 into 4
7.044 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.044 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.044 * [taylor]: Taking taylor expansion of p in x
7.044 * [backup-simplify]: Simplify p into p
7.044 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.045 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.045 * [taylor]: Taking taylor expansion of x in x
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.045 * [backup-simplify]: Simplify (* 1 1) into 1
7.045 * [backup-simplify]: Simplify (/ 1 1) into 1
7.045 * [backup-simplify]: Simplify (+ 0 1) into 1
7.046 * [backup-simplify]: Simplify (sqrt 1) into 1
7.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.047 * [backup-simplify]: Simplify (+ 0 0) into 0
7.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.047 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.047 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.048 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.048 * [taylor]: Taking taylor expansion of 4 in x
7.048 * [backup-simplify]: Simplify 4 into 4
7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.048 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.048 * [taylor]: Taking taylor expansion of p in x
7.048 * [backup-simplify]: Simplify p into p
7.048 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.048 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.048 * [taylor]: Taking taylor expansion of x in x
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 1 into 1
7.048 * [backup-simplify]: Simplify (* 1 1) into 1
7.048 * [backup-simplify]: Simplify (/ 1 1) into 1
7.049 * [backup-simplify]: Simplify (+ 0 1) into 1
7.049 * [backup-simplify]: Simplify (sqrt 1) into 1
7.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.051 * [taylor]: Taking taylor expansion of 1 in p
7.051 * [backup-simplify]: Simplify 1 into 1
7.051 * [taylor]: Taking taylor expansion of 0 in p
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify 1 into 1
7.051 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.052 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.053 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
7.053 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
7.053 * [taylor]: Taking taylor expansion of 2 in p
7.053 * [backup-simplify]: Simplify 2 into 2
7.053 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.053 * [taylor]: Taking taylor expansion of p in p
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify 1 into 1
7.053 * [backup-simplify]: Simplify (* 1 1) into 1
7.054 * [backup-simplify]: Simplify (/ 2 1) into 2
7.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.055 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.057 * [backup-simplify]: Simplify (+ 0 0) into 0
7.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
7.058 * [taylor]: Taking taylor expansion of 0 in p
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.059 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.059 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.059 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.059 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.059 * [taylor]: Taking taylor expansion of 4 in p
7.059 * [backup-simplify]: Simplify 4 into 4
7.059 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.059 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.059 * [taylor]: Taking taylor expansion of p in p
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 1 into 1
7.060 * [backup-simplify]: Simplify (* 1 1) into 1
7.060 * [backup-simplify]: Simplify (/ 1 1) into 1
7.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.060 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.060 * [taylor]: Taking taylor expansion of x in p
7.060 * [backup-simplify]: Simplify x into x
7.060 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.061 * [backup-simplify]: Simplify (* 4 1) into 4
7.061 * [backup-simplify]: Simplify (+ 4 0) into 4
7.061 * [backup-simplify]: Simplify (sqrt 4) into 2
7.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.063 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.063 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.063 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.063 * [taylor]: Taking taylor expansion of 4 in x
7.063 * [backup-simplify]: Simplify 4 into 4
7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.063 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.063 * [taylor]: Taking taylor expansion of p in x
7.063 * [backup-simplify]: Simplify p into p
7.063 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.063 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.063 * [taylor]: Taking taylor expansion of x in x
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (* 1 1) into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [backup-simplify]: Simplify (+ 0 1) into 1
7.065 * [backup-simplify]: Simplify (sqrt 1) into 1
7.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.067 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.068 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.068 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.068 * [taylor]: Taking taylor expansion of 4 in x
7.068 * [backup-simplify]: Simplify 4 into 4
7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.068 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.068 * [taylor]: Taking taylor expansion of p in x
7.068 * [backup-simplify]: Simplify p into p
7.068 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.068 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.068 * [taylor]: Taking taylor expansion of x in x
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.069 * [backup-simplify]: Simplify (* 1 1) into 1
7.069 * [backup-simplify]: Simplify (/ 1 1) into 1
7.070 * [backup-simplify]: Simplify (+ 0 1) into 1
7.070 * [backup-simplify]: Simplify (sqrt 1) into 1
7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ 0 0) into 0
7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.073 * [taylor]: Taking taylor expansion of 1 in p
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [taylor]: Taking taylor expansion of 0 in p
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.074 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.076 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.077 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
7.077 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
7.077 * [taylor]: Taking taylor expansion of 2 in p
7.078 * [backup-simplify]: Simplify 2 into 2
7.078 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.078 * [taylor]: Taking taylor expansion of p in p
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 1 into 1
7.078 * [backup-simplify]: Simplify (* 1 1) into 1
7.078 * [backup-simplify]: Simplify (/ 2 1) into 2
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.081 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.084 * [backup-simplify]: Simplify (+ 0 0) into 0
7.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
7.084 * [taylor]: Taking taylor expansion of 0 in p
7.084 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.087 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
7.087 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
7.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
7.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
7.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
7.087 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.087 * [taylor]: Taking taylor expansion of x in p
7.087 * [backup-simplify]: Simplify x into x
7.087 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
7.087 * [taylor]: Taking taylor expansion of 4 in p
7.087 * [backup-simplify]: Simplify 4 into 4
7.087 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.087 * [taylor]: Taking taylor expansion of p in p
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.088 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.088 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.088 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.088 * [backup-simplify]: Simplify (+ 0 0) into 0
7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
7.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.089 * [taylor]: Taking taylor expansion of x in x
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 1 into 1
7.089 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.089 * [taylor]: Taking taylor expansion of 4 in x
7.089 * [backup-simplify]: Simplify 4 into 4
7.089 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.089 * [taylor]: Taking taylor expansion of p in x
7.089 * [backup-simplify]: Simplify p into p
7.089 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.089 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.089 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.089 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
7.089 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.090 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
7.090 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
7.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
7.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.091 * [taylor]: Taking taylor expansion of x in x
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 1 into 1
7.091 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.091 * [taylor]: Taking taylor expansion of 4 in x
7.091 * [backup-simplify]: Simplify 4 into 4
7.091 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.091 * [taylor]: Taking taylor expansion of p in x
7.091 * [backup-simplify]: Simplify p into p
7.091 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.091 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.091 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.091 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
7.091 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.092 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
7.092 * [backup-simplify]: Simplify (+ 0 0) into 0
7.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
7.093 * [taylor]: Taking taylor expansion of (* 2 p) in p
7.093 * [taylor]: Taking taylor expansion of 2 in p
7.093 * [backup-simplify]: Simplify 2 into 2
7.093 * [taylor]: Taking taylor expansion of p in p
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* 2 0) into 0
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [taylor]: Taking taylor expansion of 0 in p
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.094 * [backup-simplify]: Simplify 2 into 2
7.095 * [backup-simplify]: Simplify (* 1 1) into 1
7.095 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.096 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.096 * [backup-simplify]: Simplify (+ 1 0) into 1
7.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
7.097 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
7.097 * [taylor]: Taking taylor expansion of 1/4 in p
7.097 * [backup-simplify]: Simplify 1/4 into 1/4
7.097 * [taylor]: Taking taylor expansion of p in p
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
7.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
7.099 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.100 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.101 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
7.103 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
7.103 * [taylor]: Taking taylor expansion of 0 in p
7.103 * [backup-simplify]: Simplify 0 into 0
7.103 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
7.105 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.105 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.105 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.105 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.105 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.105 * [taylor]: Taking taylor expansion of 4 in p
7.105 * [backup-simplify]: Simplify 4 into 4
7.105 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.105 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.105 * [taylor]: Taking taylor expansion of p in p
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.106 * [backup-simplify]: Simplify (* 1 1) into 1
7.106 * [backup-simplify]: Simplify (/ 1 1) into 1
7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.106 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.106 * [taylor]: Taking taylor expansion of x in p
7.106 * [backup-simplify]: Simplify x into x
7.106 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.107 * [backup-simplify]: Simplify (* 4 1) into 4
7.107 * [backup-simplify]: Simplify (+ 4 0) into 4
7.108 * [backup-simplify]: Simplify (sqrt 4) into 2
7.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.110 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.110 * [backup-simplify]: Simplify (+ 0 0) into 0
7.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
7.111 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.111 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.111 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.111 * [taylor]: Taking taylor expansion of 4 in x
7.111 * [backup-simplify]: Simplify 4 into 4
7.111 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.111 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.111 * [taylor]: Taking taylor expansion of p in x
7.111 * [backup-simplify]: Simplify p into p
7.111 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.111 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.112 * [taylor]: Taking taylor expansion of x in x
7.112 * [backup-simplify]: Simplify 0 into 0
7.112 * [backup-simplify]: Simplify 1 into 1
7.112 * [backup-simplify]: Simplify (* 1 1) into 1
7.112 * [backup-simplify]: Simplify (/ 1 1) into 1
7.113 * [backup-simplify]: Simplify (+ 0 1) into 1
7.113 * [backup-simplify]: Simplify (sqrt 1) into 1
7.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.114 * [backup-simplify]: Simplify (+ 0 0) into 0
7.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.115 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.115 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.115 * [taylor]: Taking taylor expansion of 4 in x
7.115 * [backup-simplify]: Simplify 4 into 4
7.115 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.115 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.115 * [taylor]: Taking taylor expansion of p in x
7.115 * [backup-simplify]: Simplify p into p
7.115 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.115 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.115 * [taylor]: Taking taylor expansion of x in x
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.115 * [backup-simplify]: Simplify (* 1 1) into 1
7.115 * [backup-simplify]: Simplify (/ 1 1) into 1
7.116 * [backup-simplify]: Simplify (+ 0 1) into 1
7.116 * [backup-simplify]: Simplify (sqrt 1) into 1
7.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.117 * [backup-simplify]: Simplify (+ 0 0) into 0
7.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.118 * [taylor]: Taking taylor expansion of 1 in p
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [taylor]: Taking taylor expansion of 0 in p
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.119 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.120 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
7.120 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
7.120 * [taylor]: Taking taylor expansion of 2 in p
7.120 * [backup-simplify]: Simplify 2 into 2
7.120 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.120 * [taylor]: Taking taylor expansion of p in p
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 1 into 1
7.120 * [backup-simplify]: Simplify (* 1 1) into 1
7.121 * [backup-simplify]: Simplify (/ 2 1) into 2
7.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.122 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
7.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
7.124 * [taylor]: Taking taylor expansion of 0 in p
7.124 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.126 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.126 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.126 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.126 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.126 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.126 * [taylor]: Taking taylor expansion of 4 in p
7.126 * [backup-simplify]: Simplify 4 into 4
7.126 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.126 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.126 * [taylor]: Taking taylor expansion of p in p
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 1 into 1
7.126 * [backup-simplify]: Simplify (* 1 1) into 1
7.127 * [backup-simplify]: Simplify (/ 1 1) into 1
7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.127 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.127 * [taylor]: Taking taylor expansion of x in p
7.127 * [backup-simplify]: Simplify x into x
7.127 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.127 * [backup-simplify]: Simplify (* 4 1) into 4
7.127 * [backup-simplify]: Simplify (+ 4 0) into 4
7.128 * [backup-simplify]: Simplify (sqrt 4) into 2
7.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.129 * [backup-simplify]: Simplify (+ 0 0) into 0
7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
7.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.130 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.130 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.130 * [taylor]: Taking taylor expansion of 4 in x
7.130 * [backup-simplify]: Simplify 4 into 4
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.130 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.130 * [taylor]: Taking taylor expansion of p in x
7.130 * [backup-simplify]: Simplify p into p
7.130 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.130 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.130 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.130 * [taylor]: Taking taylor expansion of x in x
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (* 1 1) into 1
7.131 * [backup-simplify]: Simplify (/ 1 1) into 1
7.131 * [backup-simplify]: Simplify (+ 0 1) into 1
7.131 * [backup-simplify]: Simplify (sqrt 1) into 1
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.132 * [backup-simplify]: Simplify (+ 0 0) into 0
7.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.137 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.137 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.137 * [taylor]: Taking taylor expansion of 4 in x
7.137 * [backup-simplify]: Simplify 4 into 4
7.137 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.137 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.137 * [taylor]: Taking taylor expansion of p in x
7.137 * [backup-simplify]: Simplify p into p
7.137 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.138 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.138 * [taylor]: Taking taylor expansion of x in x
7.138 * [backup-simplify]: Simplify 0 into 0
7.138 * [backup-simplify]: Simplify 1 into 1
7.138 * [backup-simplify]: Simplify (* 1 1) into 1
7.139 * [backup-simplify]: Simplify (/ 1 1) into 1
7.139 * [backup-simplify]: Simplify (+ 0 1) into 1
7.139 * [backup-simplify]: Simplify (sqrt 1) into 1
7.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.141 * [backup-simplify]: Simplify (+ 0 0) into 0
7.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.141 * [taylor]: Taking taylor expansion of 1 in p
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [taylor]: Taking taylor expansion of 0 in p
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.144 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.146 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
7.146 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
7.146 * [taylor]: Taking taylor expansion of 2 in p
7.146 * [backup-simplify]: Simplify 2 into 2
7.146 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.146 * [taylor]: Taking taylor expansion of p in p
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 1 into 1
7.146 * [backup-simplify]: Simplify (* 1 1) into 1
7.147 * [backup-simplify]: Simplify (/ 2 1) into 2
7.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.149 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
7.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.152 * [backup-simplify]: Simplify (+ 0 0) into 0
7.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
7.152 * [taylor]: Taking taylor expansion of 0 in p
7.152 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.155 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2)
7.155 * [backup-simplify]: Simplify (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))) into (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2))))
7.156 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
7.156 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in p
7.156 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.156 * [taylor]: Taking taylor expansion of x in p
7.156 * [backup-simplify]: Simplify x into x
7.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
7.156 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.156 * [taylor]: Taking taylor expansion of x in p
7.156 * [backup-simplify]: Simplify x into x
7.156 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
7.156 * [taylor]: Taking taylor expansion of 4 in p
7.156 * [backup-simplify]: Simplify 4 into 4
7.156 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.156 * [taylor]: Taking taylor expansion of p in p
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 1 into 1
7.156 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.156 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.156 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.156 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
7.156 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x
7.156 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.156 * [taylor]: Taking taylor expansion of x in x
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 1 into 1
7.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.156 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.157 * [taylor]: Taking taylor expansion of x in x
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.157 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.157 * [taylor]: Taking taylor expansion of 4 in x
7.157 * [backup-simplify]: Simplify 4 into 4
7.157 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.157 * [taylor]: Taking taylor expansion of p in x
7.157 * [backup-simplify]: Simplify p into p
7.157 * [backup-simplify]: Simplify (* 1 1) into 1
7.157 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.157 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.158 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.158 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
7.158 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x
7.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.158 * [taylor]: Taking taylor expansion of x in x
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.158 * [taylor]: Taking taylor expansion of x in x
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.158 * [taylor]: Taking taylor expansion of 4 in x
7.158 * [backup-simplify]: Simplify 4 into 4
7.158 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.158 * [taylor]: Taking taylor expansion of p in x
7.158 * [backup-simplify]: Simplify p into p
7.159 * [backup-simplify]: Simplify (* 1 1) into 1
7.159 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.159 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.159 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.159 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
7.159 * [taylor]: Taking taylor expansion of (/ 1/4 (pow p 2)) in p
7.159 * [taylor]: Taking taylor expansion of 1/4 in p
7.159 * [backup-simplify]: Simplify 1/4 into 1/4
7.159 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.159 * [taylor]: Taking taylor expansion of p in p
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify 1 into 1
7.160 * [backup-simplify]: Simplify (* 1 1) into 1
7.160 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
7.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
7.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.163 * [backup-simplify]: Simplify 0 into 0
7.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.163 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.164 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
7.164 * [backup-simplify]: Simplify (+ 0 0) into 0
7.164 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
7.164 * [taylor]: Taking taylor expansion of 0 in p
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.166 * [backup-simplify]: Simplify (* 1 1) into 1
7.167 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.167 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.168 * [backup-simplify]: Simplify (+ 1 0) into 1
7.168 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
7.168 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow p 4)))) in p
7.168 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow p 4))) in p
7.168 * [taylor]: Taking taylor expansion of 1/16 in p
7.168 * [backup-simplify]: Simplify 1/16 into 1/16
7.168 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p
7.168 * [taylor]: Taking taylor expansion of (pow p 4) in p
7.168 * [taylor]: Taking taylor expansion of p in p
7.168 * [backup-simplify]: Simplify 0 into 0
7.168 * [backup-simplify]: Simplify 1 into 1
7.169 * [backup-simplify]: Simplify (* 1 1) into 1
7.169 * [backup-simplify]: Simplify (* 1 1) into 1
7.169 * [backup-simplify]: Simplify (/ 1 1) into 1
7.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.178 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.178 * [backup-simplify]: Simplify (- 0) into 0
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.180 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p))))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))
7.180 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0
7.180 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
7.180 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.180 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.180 * [taylor]: Taking taylor expansion of x in p
7.180 * [backup-simplify]: Simplify x into x
7.180 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.180 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.180 * [taylor]: Taking taylor expansion of 4 in p
7.180 * [backup-simplify]: Simplify 4 into 4
7.180 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.180 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.180 * [taylor]: Taking taylor expansion of p in p
7.180 * [backup-simplify]: Simplify 0 into 0
7.180 * [backup-simplify]: Simplify 1 into 1
7.180 * [backup-simplify]: Simplify (* 1 1) into 1
7.180 * [backup-simplify]: Simplify (/ 1 1) into 1
7.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.180 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.180 * [taylor]: Taking taylor expansion of x in p
7.180 * [backup-simplify]: Simplify x into x
7.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.181 * [backup-simplify]: Simplify (* 4 1) into 4
7.181 * [backup-simplify]: Simplify (+ 4 0) into 4
7.181 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2))
7.181 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2))
7.181 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
7.181 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.181 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.181 * [taylor]: Taking taylor expansion of x in x
7.181 * [backup-simplify]: Simplify 0 into 0
7.181 * [backup-simplify]: Simplify 1 into 1
7.181 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.181 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.182 * [taylor]: Taking taylor expansion of 4 in x
7.182 * [backup-simplify]: Simplify 4 into 4
7.182 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.182 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.182 * [taylor]: Taking taylor expansion of p in x
7.182 * [backup-simplify]: Simplify p into p
7.182 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.182 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.182 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.182 * [taylor]: Taking taylor expansion of x in x
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify 1 into 1
7.182 * [backup-simplify]: Simplify (* 1 1) into 1
7.182 * [backup-simplify]: Simplify (/ 1 1) into 1
7.183 * [backup-simplify]: Simplify (* 1 1) into 1
7.183 * [backup-simplify]: Simplify (+ 0 1) into 1
7.183 * [backup-simplify]: Simplify (* 1 1) into 1
7.183 * [backup-simplify]: Simplify (/ 1 1) into 1
7.183 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
7.183 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.183 * [taylor]: Taking taylor expansion of x in x
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.184 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.184 * [taylor]: Taking taylor expansion of 4 in x
7.184 * [backup-simplify]: Simplify 4 into 4
7.184 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.184 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.184 * [taylor]: Taking taylor expansion of p in x
7.184 * [backup-simplify]: Simplify p into p
7.184 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.184 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.184 * [taylor]: Taking taylor expansion of x in x
7.184 * [backup-simplify]: Simplify 0 into 0
7.184 * [backup-simplify]: Simplify 1 into 1
7.184 * [backup-simplify]: Simplify (* 1 1) into 1
7.184 * [backup-simplify]: Simplify (/ 1 1) into 1
7.185 * [backup-simplify]: Simplify (* 1 1) into 1
7.185 * [backup-simplify]: Simplify (+ 0 1) into 1
7.185 * [backup-simplify]: Simplify (* 1 1) into 1
7.185 * [backup-simplify]: Simplify (/ 1 1) into 1
7.185 * [taylor]: Taking taylor expansion of 1 in p
7.185 * [backup-simplify]: Simplify 1 into 1
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.187 * [backup-simplify]: Simplify (+ 0 0) into 0
7.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.188 * [taylor]: Taking taylor expansion of 0 in p
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.190 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.192 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2)))
7.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
7.193 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p
7.193 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.193 * [taylor]: Taking taylor expansion of 4 in p
7.193 * [backup-simplify]: Simplify 4 into 4
7.194 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.194 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.194 * [taylor]: Taking taylor expansion of p in p
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 1 into 1
7.194 * [backup-simplify]: Simplify (* 1 1) into 1
7.194 * [backup-simplify]: Simplify (/ 1 1) into 1
7.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.204 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.205 * [backup-simplify]: Simplify (- 0) into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p)))))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))
7.205 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0
7.205 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
7.205 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.205 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.205 * [taylor]: Taking taylor expansion of x in p
7.205 * [backup-simplify]: Simplify x into x
7.205 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.205 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.205 * [taylor]: Taking taylor expansion of 4 in p
7.205 * [backup-simplify]: Simplify 4 into 4
7.205 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.205 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.205 * [taylor]: Taking taylor expansion of p in p
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 1 into 1
7.206 * [backup-simplify]: Simplify (* 1 1) into 1
7.206 * [backup-simplify]: Simplify (/ 1 1) into 1
7.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.206 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.206 * [taylor]: Taking taylor expansion of x in p
7.206 * [backup-simplify]: Simplify x into x
7.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.207 * [backup-simplify]: Simplify (* 4 1) into 4
7.207 * [backup-simplify]: Simplify (+ 4 0) into 4
7.207 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2))
7.207 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2))
7.207 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
7.207 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.207 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.207 * [taylor]: Taking taylor expansion of x in x
7.207 * [backup-simplify]: Simplify 0 into 0
7.207 * [backup-simplify]: Simplify 1 into 1
7.207 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.207 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.207 * [taylor]: Taking taylor expansion of 4 in x
7.207 * [backup-simplify]: Simplify 4 into 4
7.207 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.207 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.207 * [taylor]: Taking taylor expansion of p in x
7.207 * [backup-simplify]: Simplify p into p
7.207 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.208 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.208 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.208 * [taylor]: Taking taylor expansion of x in x
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify 1 into 1
7.208 * [backup-simplify]: Simplify (* 1 1) into 1
7.208 * [backup-simplify]: Simplify (/ 1 1) into 1
7.209 * [backup-simplify]: Simplify (* 1 1) into 1
7.209 * [backup-simplify]: Simplify (+ 0 1) into 1
7.209 * [backup-simplify]: Simplify (* 1 1) into 1
7.209 * [backup-simplify]: Simplify (/ 1 1) into 1
7.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
7.210 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.210 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.210 * [taylor]: Taking taylor expansion of x in x
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify 1 into 1
7.210 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.210 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
7.210 * [taylor]: Taking taylor expansion of 4 in x
7.210 * [backup-simplify]: Simplify 4 into 4
7.210 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.210 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.210 * [taylor]: Taking taylor expansion of p in x
7.210 * [backup-simplify]: Simplify p into p
7.210 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.210 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.210 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.210 * [taylor]: Taking taylor expansion of x in x
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify 1 into 1
7.210 * [backup-simplify]: Simplify (* 1 1) into 1
7.211 * [backup-simplify]: Simplify (/ 1 1) into 1
7.211 * [backup-simplify]: Simplify (* 1 1) into 1
7.211 * [backup-simplify]: Simplify (+ 0 1) into 1
7.211 * [backup-simplify]: Simplify (* 1 1) into 1
7.212 * [backup-simplify]: Simplify (/ 1 1) into 1
7.212 * [taylor]: Taking taylor expansion of 1 in p
7.212 * [backup-simplify]: Simplify 1 into 1
7.212 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.213 * [backup-simplify]: Simplify (+ 0 0) into 0
7.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.214 * [taylor]: Taking taylor expansion of 0 in p
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
7.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.216 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.217 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2)))
7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
7.218 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p
7.218 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
7.218 * [taylor]: Taking taylor expansion of 4 in p
7.218 * [backup-simplify]: Simplify 4 into 4
7.218 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.218 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.218 * [taylor]: Taking taylor expansion of p in p
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify 1 into 1
7.218 * [backup-simplify]: Simplify (* 1 1) into 1
7.218 * [backup-simplify]: Simplify (/ 1 1) into 1
7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.224 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.225 * [backup-simplify]: Simplify (- 0) into 0
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * * * [progress]: simplifying candidates
7.225 * * * * [progress]: [ 1 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) 1/2))))))))>
7.225 * * * * [progress]: [ 2 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))))))))>
7.225 * * * * [progress]: [ 3 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.225 * * * * [progress]: [ 4 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.225 * * * * [progress]: [ 5 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.225 * * * * [progress]: [ 6 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.225 * * * * [progress]: [ 7 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))))>
7.225 * * * * [progress]: [ 8 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.225 * * * * [progress]: [ 9 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
7.226 * * * * [progress]: [ 10 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))))))))>
7.226 * * * * [progress]: [ 11 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))))))))>
7.226 * * * * [progress]: [ 12 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))))))))>
7.226 * * * * [progress]: [ 13 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.226 * * * * [progress]: [ 14 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
7.226 * * * * [progress]: [ 15 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
7.226 * * * * [progress]: [ 16 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
7.226 * * * * [progress]: [ 17 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) 1/2)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 18 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 19 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 20 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 21 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 22 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 24 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 25 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.226 * * * * [progress]: [ 26 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 27 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 28 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 29 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 30 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 31 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 32 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 33 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (pow (+ (* x x) (* (* p 4) p)) 1/2)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 34 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 35 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 36 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 37 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 38 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 39 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 40 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 41 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 42 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.227 * * * * [progress]: [ 43 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 45 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 46 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 47 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 48 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 49 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (pow (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))) 1))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 50 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (pow (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))) 1))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 51 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (pow (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))) 1))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 52 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (+ (log x) (log x)) (- (log (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 53 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (+ (log x) (log x)) (- 0 (log (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 54 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (+ (log x) (log x)) (- (log 1) (log (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 55 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (+ (log x) (log x)) (log (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 56 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (log (* x x)) (- (log (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 57 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (log (* x x)) (- 0 (log (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 58 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (log (* x x)) (- (log 1) (log (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.228 * * * * [progress]: [ 59 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (+ (log (* x x)) (log (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 60 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (exp (log (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 61 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (log (exp (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 62 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (* (* (* (* x x) x) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 63 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (* (* (* (* x x) x) (* (* x x) x)) (* (* (/ 1 (+ (* x x) (* (* p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p)))) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 64 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (* (* (* (* x x) (* x x)) (* x x)) (/ (* (* 1 1) 1) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (* (* (* (* x x) (* x x)) (* x x)) (* (* (/ 1 (+ (* x x) (* (* p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p)))) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 66 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (cbrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (cbrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (cbrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 67 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (cbrt (* (* (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 68 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (sqrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (sqrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 69 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* 1 (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 70 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 71 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))) (* x (sqrt (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 72 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (* x (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 73 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))) (* x (/ 1 (sqrt (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 74 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (* (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.229 * * * * [progress]: [ 75 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))) (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 76 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))) (/ (cbrt 1) (cbrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 77 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (cbrt 1) (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 78 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 79 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ (sqrt 1) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))) (/ (sqrt 1) (cbrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 80 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 81 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ (sqrt 1) 1)) (/ (sqrt 1) (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 82 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ 1 (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))) (/ 1 (cbrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 83 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))) (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 84 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ 1 1)) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 85 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) 1) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 86 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) 1) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 87 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ 1 (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))) (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 88 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (/ 1 (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))) (- (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 89 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* x (* x (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 90 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* (* x x) 1) (+ (* x x) (* (* p 4) p))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.230 * * * * [progress]: [ 91 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (posit16->real (real->posit16 (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (/ 1 (+ (* x x) (* (* p 4) p))) (* x x)))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 93 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* 2 p))))))))>
7.231 * * * * [progress]: [ 94 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) x)))))))>
7.231 * * * * [progress]: [ 95 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (* -1 x))))))))>
7.231 * * * * [progress]: [ 96 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 97 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) x) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 98 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* -1 x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 99 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* 2 p)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 100 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) x) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 101 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (* -1 x)) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 102 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x 0)) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 103 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x 0)) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.231 * * * * [progress]: [ 104 / 104 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x 0)) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
7.232 * [simplify]: Simplifying (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))), (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))), (+ (+ (log x) (log x)) (- (log (+ (* x x) (* (* p 4) p))))), (+ (+ (log x) (log x)) (- 0 (log (+ (* x x) (* (* p 4) p))))), (+ (+ (log x) (log x)) (- (log 1) (log (+ (* x x) (* (* p 4) p))))), (+ (+ (log x) (log x)) (log (/ 1 (+ (* x x) (* (* p 4) p))))), (+ (log (* x x)) (- (log (+ (* x x) (* (* p 4) p))))), (+ (log (* x x)) (- 0 (log (+ (* x x) (* (* p 4) p))))), (+ (log (* x x)) (- (log 1) (log (+ (* x x) (* (* p 4) p))))), (+ (log (* x x)) (log (/ 1 (+ (* x x) (* (* p 4) p))))), (log (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (exp (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (* (* (* (* x x) x) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p))))), (* (* (* (* x x) x) (* (* x x) x)) (* (* (/ 1 (+ (* x x) (* (* p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p)))) (/ 1 (+ (* x x) (* (* p 4) p))))), (* (* (* (* x x) (* x x)) (* x x)) (/ (* (* 1 1) 1) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p))))), (* (* (* (* x x) (* x x)) (* x x)) (* (* (/ 1 (+ (* x x) (* (* p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p)))) (/ 1 (+ (* x x) (* (* p 4) p))))), (* (cbrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (cbrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))), (cbrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (* (* (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (sqrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (sqrt (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (* x (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))), (* x (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))), (* x (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))), (* x (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))), (* x (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))), (* x (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))), (* (* x x) (* (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))))), (* (* x x) (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))), (* (* x x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))), (* (* x x) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) (* (* p 4) p))))), (* (* x x) (/ (* (cbrt 1) (cbrt 1)) 1)), (* (* x x) (/ (sqrt 1) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))), (* (* x x) (/ (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))), (* (* x x) (/ (sqrt 1) 1)), (* (* x x) (/ 1 (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))), (* (* x x) (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))), (* (* x x) (/ 1 1)), (* (* x x) 1), (* (* x x) 1), (* (* x x) (/ 1 (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))), (* (* x x) (/ 1 (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))), (* x (/ 1 (+ (* x x) (* (* p 4) p)))), (* (* x x) 1), (real->posit16 (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x), 0, 0, 0
7.235 * * [simplify]: iteration 1: (118 enodes)
7.310 * * [simplify]: iteration 2: (528 enodes)
7.511 * * [simplify]: iteration 3: (1206 enodes)
8.546 * * [simplify]: Extracting #0: cost 38 inf + 0
8.547 * * [simplify]: Extracting #1: cost 248 inf + 4
8.551 * * [simplify]: Extracting #2: cost 500 inf + 703
8.561 * * [simplify]: Extracting #3: cost 624 inf + 22515
8.585 * * [simplify]: Extracting #4: cost 345 inf + 116348
8.659 * * [simplify]: Extracting #5: cost 29 inf + 198730
8.746 * * [simplify]: Extracting #6: cost 0 inf + 206451
8.846 * * [simplify]: Extracting #7: cost 0 inf + 206331
8.928 * [simplify]: Simplified to (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))), (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* x x) (* (* p 4) p))))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))), (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* x x) (* (* p 4) p))))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))), (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* x x) (* (* p 4) p))))), (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (/ (* x x) (+ (* x x) (* (* p 4) p))), (/ (* x x) (+ (* x x) (* (* p 4) p))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (log (/ (* x x) (+ (* x x) (* (* p 4) p)))), (exp (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (* (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))), (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))), (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* (sqrt (/ 1 (+ (* x x) (* (* p 4) p)))) x), (* (sqrt (/ 1 (+ (* x x) (* (* p 4) p)))) x), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (/ x (sqrt (+ (* x x) (* (* p 4) p)))), (* (* x x) (* (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))))), (* (* x x) (sqrt (/ 1 (+ (* x x) (* (* p 4) p))))), (/ (/ (* x x) (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))), (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))), (* x x), (/ (/ (* x x) (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))), (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))), (* x x), (/ (/ (* x x) (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))), (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))), (* x x), (* x x), (* x x), (/ (* x x) (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))), (/ (/ (* x x) (+ (* x x) (* (* p 4) p))) (- (* x x) (* (* p 4) p))), (/ x (+ (* x x) (* (* p 4) p))), (* x x), (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))), (* p 2), x, (- x), (* p 2), x, (- x), (* p 2), x, (- x), 0, 0, 0
8.962 * * * [progress]: adding candidates to table
11.124 * * [progress]: iteration 4 / 4
11.124 * * * [progress]: picking best candidate
11.217 * * * * [pick]: Picked  #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
11.217 * * * [progress]: localizing error
11.333 * * * [progress]: generating rewritten candidates
11.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 2)
11.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 2 1)
11.347 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1)
11.353 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
11.359 * * * [progress]: generating series expansions
11.360 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 2)
11.360 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
11.360 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
11.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
11.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.360 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.360 * [taylor]: Taking taylor expansion of x in p
11.360 * [backup-simplify]: Simplify x into x
11.360 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.360 * [taylor]: Taking taylor expansion of 4 in p
11.360 * [backup-simplify]: Simplify 4 into 4
11.360 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.360 * [taylor]: Taking taylor expansion of p in p
11.360 * [backup-simplify]: Simplify 0 into 0
11.360 * [backup-simplify]: Simplify 1 into 1
11.360 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.360 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.360 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
11.360 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.361 * [backup-simplify]: Simplify (+ 0 0) into 0
11.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
11.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.361 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.362 * [taylor]: Taking taylor expansion of x in x
11.362 * [backup-simplify]: Simplify 0 into 0
11.362 * [backup-simplify]: Simplify 1 into 1
11.362 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.362 * [taylor]: Taking taylor expansion of 4 in x
11.362 * [backup-simplify]: Simplify 4 into 4
11.362 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.362 * [taylor]: Taking taylor expansion of p in x
11.362 * [backup-simplify]: Simplify p into p
11.362 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.362 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.362 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.362 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.362 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.363 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.364 * [backup-simplify]: Simplify (+ 0 0) into 0
11.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.364 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.364 * [taylor]: Taking taylor expansion of x in x
11.364 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify 1 into 1
11.364 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.364 * [taylor]: Taking taylor expansion of 4 in x
11.364 * [backup-simplify]: Simplify 4 into 4
11.364 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.364 * [taylor]: Taking taylor expansion of p in x
11.364 * [backup-simplify]: Simplify p into p
11.364 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.364 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.364 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.365 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.365 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.365 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.366 * [backup-simplify]: Simplify (+ 0 0) into 0
11.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.366 * [taylor]: Taking taylor expansion of (* 2 p) in p
11.366 * [taylor]: Taking taylor expansion of 2 in p
11.366 * [backup-simplify]: Simplify 2 into 2
11.366 * [taylor]: Taking taylor expansion of p in p
11.366 * [backup-simplify]: Simplify 0 into 0
11.366 * [backup-simplify]: Simplify 1 into 1
11.367 * [backup-simplify]: Simplify (* 2 0) into 0
11.367 * [backup-simplify]: Simplify 0 into 0
11.367 * [taylor]: Taking taylor expansion of 0 in p
11.367 * [backup-simplify]: Simplify 0 into 0
11.367 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.368 * [backup-simplify]: Simplify 2 into 2
11.369 * [backup-simplify]: Simplify (* 1 1) into 1
11.369 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.370 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.371 * [backup-simplify]: Simplify (+ 1 0) into 1
11.371 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
11.372 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
11.372 * [taylor]: Taking taylor expansion of 1/4 in p
11.372 * [backup-simplify]: Simplify 1/4 into 1/4
11.372 * [taylor]: Taking taylor expansion of p in p
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 1 into 1
11.372 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.376 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
11.377 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
11.378 * [backup-simplify]: Simplify (+ 0 0) into 0
11.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
11.378 * [taylor]: Taking taylor expansion of 0 in p
11.378 * [backup-simplify]: Simplify 0 into 0
11.378 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.379 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
11.380 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.380 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.380 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.380 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.380 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.380 * [taylor]: Taking taylor expansion of 4 in p
11.380 * [backup-simplify]: Simplify 4 into 4
11.380 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.380 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.380 * [taylor]: Taking taylor expansion of p in p
11.380 * [backup-simplify]: Simplify 0 into 0
11.380 * [backup-simplify]: Simplify 1 into 1
11.381 * [backup-simplify]: Simplify (* 1 1) into 1
11.381 * [backup-simplify]: Simplify (/ 1 1) into 1
11.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.381 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.381 * [taylor]: Taking taylor expansion of x in p
11.381 * [backup-simplify]: Simplify x into x
11.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.382 * [backup-simplify]: Simplify (* 4 1) into 4
11.382 * [backup-simplify]: Simplify (+ 4 0) into 4
11.383 * [backup-simplify]: Simplify (sqrt 4) into 2
11.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.385 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.385 * [backup-simplify]: Simplify (+ 0 0) into 0
11.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.393 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.393 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.393 * [taylor]: Taking taylor expansion of 4 in x
11.393 * [backup-simplify]: Simplify 4 into 4
11.393 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.393 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.393 * [taylor]: Taking taylor expansion of p in x
11.393 * [backup-simplify]: Simplify p into p
11.393 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.393 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.393 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.393 * [taylor]: Taking taylor expansion of x in x
11.393 * [backup-simplify]: Simplify 0 into 0
11.393 * [backup-simplify]: Simplify 1 into 1
11.394 * [backup-simplify]: Simplify (* 1 1) into 1
11.395 * [backup-simplify]: Simplify (/ 1 1) into 1
11.395 * [backup-simplify]: Simplify (+ 0 1) into 1
11.396 * [backup-simplify]: Simplify (sqrt 1) into 1
11.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.399 * [backup-simplify]: Simplify (+ 0 0) into 0
11.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.400 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.400 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.400 * [taylor]: Taking taylor expansion of 4 in x
11.400 * [backup-simplify]: Simplify 4 into 4
11.400 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.400 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.400 * [taylor]: Taking taylor expansion of p in x
11.400 * [backup-simplify]: Simplify p into p
11.400 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.400 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.401 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.401 * [taylor]: Taking taylor expansion of x in x
11.401 * [backup-simplify]: Simplify 0 into 0
11.401 * [backup-simplify]: Simplify 1 into 1
11.401 * [backup-simplify]: Simplify (* 1 1) into 1
11.402 * [backup-simplify]: Simplify (/ 1 1) into 1
11.402 * [backup-simplify]: Simplify (+ 0 1) into 1
11.403 * [backup-simplify]: Simplify (sqrt 1) into 1
11.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.405 * [backup-simplify]: Simplify (+ 0 0) into 0
11.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.406 * [taylor]: Taking taylor expansion of 1 in p
11.406 * [backup-simplify]: Simplify 1 into 1
11.406 * [taylor]: Taking taylor expansion of 0 in p
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify 1 into 1
11.406 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.408 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.409 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.409 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.409 * [taylor]: Taking taylor expansion of 2 in p
11.409 * [backup-simplify]: Simplify 2 into 2
11.409 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.409 * [taylor]: Taking taylor expansion of p in p
11.409 * [backup-simplify]: Simplify 0 into 0
11.409 * [backup-simplify]: Simplify 1 into 1
11.410 * [backup-simplify]: Simplify (* 1 1) into 1
11.410 * [backup-simplify]: Simplify (/ 2 1) into 2
11.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.411 * [backup-simplify]: Simplify 0 into 0
11.411 * [backup-simplify]: Simplify 0 into 0
11.411 * [backup-simplify]: Simplify 0 into 0
11.411 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.412 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.413 * [backup-simplify]: Simplify (+ 0 0) into 0
11.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.414 * [taylor]: Taking taylor expansion of 0 in p
11.414 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.415 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
11.416 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.416 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.416 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.416 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.416 * [taylor]: Taking taylor expansion of 4 in p
11.416 * [backup-simplify]: Simplify 4 into 4
11.416 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.416 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.416 * [taylor]: Taking taylor expansion of p in p
11.416 * [backup-simplify]: Simplify 0 into 0
11.416 * [backup-simplify]: Simplify 1 into 1
11.416 * [backup-simplify]: Simplify (* 1 1) into 1
11.417 * [backup-simplify]: Simplify (/ 1 1) into 1
11.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.417 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.417 * [taylor]: Taking taylor expansion of x in p
11.417 * [backup-simplify]: Simplify x into x
11.417 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.417 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.417 * [backup-simplify]: Simplify (* 4 1) into 4
11.417 * [backup-simplify]: Simplify (+ 4 0) into 4
11.418 * [backup-simplify]: Simplify (sqrt 4) into 2
11.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.419 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.419 * [backup-simplify]: Simplify (+ 0 0) into 0
11.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.420 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.420 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.420 * [taylor]: Taking taylor expansion of 4 in x
11.420 * [backup-simplify]: Simplify 4 into 4
11.420 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.420 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.420 * [taylor]: Taking taylor expansion of p in x
11.420 * [backup-simplify]: Simplify p into p
11.420 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.420 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.420 * [taylor]: Taking taylor expansion of x in x
11.420 * [backup-simplify]: Simplify 0 into 0
11.420 * [backup-simplify]: Simplify 1 into 1
11.421 * [backup-simplify]: Simplify (* 1 1) into 1
11.421 * [backup-simplify]: Simplify (/ 1 1) into 1
11.421 * [backup-simplify]: Simplify (+ 0 1) into 1
11.421 * [backup-simplify]: Simplify (sqrt 1) into 1
11.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.423 * [backup-simplify]: Simplify (+ 0 0) into 0
11.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.423 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.423 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.423 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.423 * [taylor]: Taking taylor expansion of 4 in x
11.423 * [backup-simplify]: Simplify 4 into 4
11.423 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.423 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.423 * [taylor]: Taking taylor expansion of p in x
11.423 * [backup-simplify]: Simplify p into p
11.423 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.423 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.423 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.423 * [taylor]: Taking taylor expansion of x in x
11.423 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify 1 into 1
11.424 * [backup-simplify]: Simplify (* 1 1) into 1
11.424 * [backup-simplify]: Simplify (/ 1 1) into 1
11.424 * [backup-simplify]: Simplify (+ 0 1) into 1
11.425 * [backup-simplify]: Simplify (sqrt 1) into 1
11.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.426 * [backup-simplify]: Simplify (+ 0 0) into 0
11.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.426 * [taylor]: Taking taylor expansion of 1 in p
11.426 * [backup-simplify]: Simplify 1 into 1
11.426 * [taylor]: Taking taylor expansion of 0 in p
11.426 * [backup-simplify]: Simplify 0 into 0
11.426 * [backup-simplify]: Simplify 1 into 1
11.427 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.428 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.429 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.429 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.429 * [taylor]: Taking taylor expansion of 2 in p
11.429 * [backup-simplify]: Simplify 2 into 2
11.429 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.429 * [taylor]: Taking taylor expansion of p in p
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify 1 into 1
11.430 * [backup-simplify]: Simplify (* 1 1) into 1
11.430 * [backup-simplify]: Simplify (/ 2 1) into 2
11.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.432 * [backup-simplify]: Simplify 0 into 0
11.432 * [backup-simplify]: Simplify 0 into 0
11.432 * [backup-simplify]: Simplify 0 into 0
11.432 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.433 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.436 * [backup-simplify]: Simplify (+ 0 0) into 0
11.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.437 * [taylor]: Taking taylor expansion of 0 in p
11.437 * [backup-simplify]: Simplify 0 into 0
11.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.439 * [backup-simplify]: Simplify 0 into 0
11.439 * [backup-simplify]: Simplify 0 into 0
11.439 * [backup-simplify]: Simplify 0 into 0
11.439 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
11.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 2 1)
11.440 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
11.440 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
11.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
11.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.440 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.440 * [taylor]: Taking taylor expansion of x in p
11.440 * [backup-simplify]: Simplify x into x
11.440 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.440 * [taylor]: Taking taylor expansion of 4 in p
11.440 * [backup-simplify]: Simplify 4 into 4
11.440 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.440 * [taylor]: Taking taylor expansion of p in p
11.440 * [backup-simplify]: Simplify 0 into 0
11.440 * [backup-simplify]: Simplify 1 into 1
11.440 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.440 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.440 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
11.441 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.441 * [backup-simplify]: Simplify (+ 0 0) into 0
11.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
11.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.441 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.441 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.442 * [taylor]: Taking taylor expansion of x in x
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 1 into 1
11.442 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.442 * [taylor]: Taking taylor expansion of 4 in x
11.442 * [backup-simplify]: Simplify 4 into 4
11.442 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.442 * [taylor]: Taking taylor expansion of p in x
11.442 * [backup-simplify]: Simplify p into p
11.442 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.442 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.442 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.442 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.442 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.443 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.444 * [backup-simplify]: Simplify (+ 0 0) into 0
11.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.444 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.444 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.444 * [taylor]: Taking taylor expansion of x in x
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 1 into 1
11.444 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.444 * [taylor]: Taking taylor expansion of 4 in x
11.444 * [backup-simplify]: Simplify 4 into 4
11.444 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.444 * [taylor]: Taking taylor expansion of p in x
11.444 * [backup-simplify]: Simplify p into p
11.444 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.444 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.445 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.445 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.445 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.445 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.446 * [backup-simplify]: Simplify (+ 0 0) into 0
11.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.446 * [taylor]: Taking taylor expansion of (* 2 p) in p
11.446 * [taylor]: Taking taylor expansion of 2 in p
11.446 * [backup-simplify]: Simplify 2 into 2
11.446 * [taylor]: Taking taylor expansion of p in p
11.446 * [backup-simplify]: Simplify 0 into 0
11.446 * [backup-simplify]: Simplify 1 into 1
11.447 * [backup-simplify]: Simplify (* 2 0) into 0
11.447 * [backup-simplify]: Simplify 0 into 0
11.447 * [taylor]: Taking taylor expansion of 0 in p
11.447 * [backup-simplify]: Simplify 0 into 0
11.447 * [backup-simplify]: Simplify 0 into 0
11.448 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.448 * [backup-simplify]: Simplify 2 into 2
11.448 * [backup-simplify]: Simplify (* 1 1) into 1
11.449 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.450 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.450 * [backup-simplify]: Simplify (+ 1 0) into 1
11.451 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
11.451 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
11.451 * [taylor]: Taking taylor expansion of 1/4 in p
11.451 * [backup-simplify]: Simplify 1/4 into 1/4
11.451 * [taylor]: Taking taylor expansion of p in p
11.451 * [backup-simplify]: Simplify 0 into 0
11.451 * [backup-simplify]: Simplify 1 into 1
11.451 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.452 * [backup-simplify]: Simplify 0 into 0
11.452 * [backup-simplify]: Simplify 0 into 0
11.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.454 * [backup-simplify]: Simplify 0 into 0
11.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.455 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
11.456 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
11.457 * [backup-simplify]: Simplify (+ 0 0) into 0
11.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
11.457 * [taylor]: Taking taylor expansion of 0 in p
11.457 * [backup-simplify]: Simplify 0 into 0
11.457 * [backup-simplify]: Simplify 0 into 0
11.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.457 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
11.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.458 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.458 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.458 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.458 * [taylor]: Taking taylor expansion of 4 in p
11.458 * [backup-simplify]: Simplify 4 into 4
11.458 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.458 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.458 * [taylor]: Taking taylor expansion of p in p
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 1 into 1
11.459 * [backup-simplify]: Simplify (* 1 1) into 1
11.459 * [backup-simplify]: Simplify (/ 1 1) into 1
11.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.459 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.459 * [taylor]: Taking taylor expansion of x in p
11.459 * [backup-simplify]: Simplify x into x
11.459 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.459 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.459 * [backup-simplify]: Simplify (* 4 1) into 4
11.460 * [backup-simplify]: Simplify (+ 4 0) into 4
11.460 * [backup-simplify]: Simplify (sqrt 4) into 2
11.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.461 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.461 * [backup-simplify]: Simplify (+ 0 0) into 0
11.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.462 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.462 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.462 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.462 * [taylor]: Taking taylor expansion of 4 in x
11.462 * [backup-simplify]: Simplify 4 into 4
11.462 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.462 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.462 * [taylor]: Taking taylor expansion of p in x
11.462 * [backup-simplify]: Simplify p into p
11.462 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.462 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.462 * [taylor]: Taking taylor expansion of x in x
11.462 * [backup-simplify]: Simplify 0 into 0
11.462 * [backup-simplify]: Simplify 1 into 1
11.463 * [backup-simplify]: Simplify (* 1 1) into 1
11.463 * [backup-simplify]: Simplify (/ 1 1) into 1
11.463 * [backup-simplify]: Simplify (+ 0 1) into 1
11.463 * [backup-simplify]: Simplify (sqrt 1) into 1
11.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.465 * [backup-simplify]: Simplify (+ 0 0) into 0
11.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.465 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.465 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.465 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.465 * [taylor]: Taking taylor expansion of 4 in x
11.465 * [backup-simplify]: Simplify 4 into 4
11.465 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.465 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.465 * [taylor]: Taking taylor expansion of p in x
11.465 * [backup-simplify]: Simplify p into p
11.465 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.465 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.465 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.465 * [taylor]: Taking taylor expansion of x in x
11.465 * [backup-simplify]: Simplify 0 into 0
11.465 * [backup-simplify]: Simplify 1 into 1
11.466 * [backup-simplify]: Simplify (* 1 1) into 1
11.466 * [backup-simplify]: Simplify (/ 1 1) into 1
11.466 * [backup-simplify]: Simplify (+ 0 1) into 1
11.467 * [backup-simplify]: Simplify (sqrt 1) into 1
11.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.468 * [backup-simplify]: Simplify (+ 0 0) into 0
11.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.468 * [taylor]: Taking taylor expansion of 1 in p
11.468 * [backup-simplify]: Simplify 1 into 1
11.468 * [taylor]: Taking taylor expansion of 0 in p
11.468 * [backup-simplify]: Simplify 0 into 0
11.468 * [backup-simplify]: Simplify 1 into 1
11.468 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.470 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.470 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.470 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.470 * [taylor]: Taking taylor expansion of 2 in p
11.470 * [backup-simplify]: Simplify 2 into 2
11.470 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.470 * [taylor]: Taking taylor expansion of p in p
11.470 * [backup-simplify]: Simplify 0 into 0
11.470 * [backup-simplify]: Simplify 1 into 1
11.471 * [backup-simplify]: Simplify (* 1 1) into 1
11.471 * [backup-simplify]: Simplify (/ 2 1) into 2
11.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.472 * [backup-simplify]: Simplify 0 into 0
11.472 * [backup-simplify]: Simplify 0 into 0
11.472 * [backup-simplify]: Simplify 0 into 0
11.472 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.473 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.474 * [backup-simplify]: Simplify (+ 0 0) into 0
11.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.474 * [taylor]: Taking taylor expansion of 0 in p
11.474 * [backup-simplify]: Simplify 0 into 0
11.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
11.476 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.476 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.476 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.476 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.476 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.476 * [taylor]: Taking taylor expansion of 4 in p
11.476 * [backup-simplify]: Simplify 4 into 4
11.476 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.476 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.476 * [taylor]: Taking taylor expansion of p in p
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify 1 into 1
11.476 * [backup-simplify]: Simplify (* 1 1) into 1
11.477 * [backup-simplify]: Simplify (/ 1 1) into 1
11.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.477 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.477 * [taylor]: Taking taylor expansion of x in p
11.477 * [backup-simplify]: Simplify x into x
11.477 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.477 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.477 * [backup-simplify]: Simplify (* 4 1) into 4
11.477 * [backup-simplify]: Simplify (+ 4 0) into 4
11.478 * [backup-simplify]: Simplify (sqrt 4) into 2
11.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.479 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.479 * [backup-simplify]: Simplify (+ 0 0) into 0
11.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.480 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.480 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.480 * [taylor]: Taking taylor expansion of 4 in x
11.480 * [backup-simplify]: Simplify 4 into 4
11.480 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.480 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.480 * [taylor]: Taking taylor expansion of p in x
11.480 * [backup-simplify]: Simplify p into p
11.480 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.480 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.480 * [taylor]: Taking taylor expansion of x in x
11.480 * [backup-simplify]: Simplify 0 into 0
11.480 * [backup-simplify]: Simplify 1 into 1
11.480 * [backup-simplify]: Simplify (* 1 1) into 1
11.481 * [backup-simplify]: Simplify (/ 1 1) into 1
11.481 * [backup-simplify]: Simplify (+ 0 1) into 1
11.481 * [backup-simplify]: Simplify (sqrt 1) into 1
11.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.482 * [backup-simplify]: Simplify (+ 0 0) into 0
11.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.483 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.483 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.483 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.483 * [taylor]: Taking taylor expansion of 4 in x
11.483 * [backup-simplify]: Simplify 4 into 4
11.483 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.483 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.483 * [taylor]: Taking taylor expansion of p in x
11.483 * [backup-simplify]: Simplify p into p
11.483 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.483 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.483 * [taylor]: Taking taylor expansion of x in x
11.483 * [backup-simplify]: Simplify 0 into 0
11.483 * [backup-simplify]: Simplify 1 into 1
11.483 * [backup-simplify]: Simplify (* 1 1) into 1
11.484 * [backup-simplify]: Simplify (/ 1 1) into 1
11.484 * [backup-simplify]: Simplify (+ 0 1) into 1
11.484 * [backup-simplify]: Simplify (sqrt 1) into 1
11.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.485 * [backup-simplify]: Simplify (+ 0 0) into 0
11.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.486 * [taylor]: Taking taylor expansion of 1 in p
11.486 * [backup-simplify]: Simplify 1 into 1
11.486 * [taylor]: Taking taylor expansion of 0 in p
11.486 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify 1 into 1
11.486 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.487 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.488 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.488 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.488 * [taylor]: Taking taylor expansion of 2 in p
11.488 * [backup-simplify]: Simplify 2 into 2
11.488 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.488 * [taylor]: Taking taylor expansion of p in p
11.488 * [backup-simplify]: Simplify 0 into 0
11.488 * [backup-simplify]: Simplify 1 into 1
11.488 * [backup-simplify]: Simplify (* 1 1) into 1
11.489 * [backup-simplify]: Simplify (/ 2 1) into 2
11.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.489 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.490 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.492 * [backup-simplify]: Simplify (+ 0 0) into 0
11.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.492 * [taylor]: Taking taylor expansion of 0 in p
11.492 * [backup-simplify]: Simplify 0 into 0
11.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.494 * [backup-simplify]: Simplify 0 into 0
11.494 * [backup-simplify]: Simplify 0 into 0
11.494 * [backup-simplify]: Simplify 0 into 0
11.494 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
11.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 2 1)
11.495 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
11.495 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
11.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
11.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.495 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.495 * [taylor]: Taking taylor expansion of x in p
11.495 * [backup-simplify]: Simplify x into x
11.495 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.495 * [taylor]: Taking taylor expansion of 4 in p
11.495 * [backup-simplify]: Simplify 4 into 4
11.495 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.495 * [taylor]: Taking taylor expansion of p in p
11.495 * [backup-simplify]: Simplify 0 into 0
11.495 * [backup-simplify]: Simplify 1 into 1
11.495 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.495 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.495 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
11.495 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.496 * [backup-simplify]: Simplify (+ 0 0) into 0
11.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
11.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.496 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.496 * [taylor]: Taking taylor expansion of x in x
11.496 * [backup-simplify]: Simplify 0 into 0
11.496 * [backup-simplify]: Simplify 1 into 1
11.496 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.496 * [taylor]: Taking taylor expansion of 4 in x
11.496 * [backup-simplify]: Simplify 4 into 4
11.496 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.496 * [taylor]: Taking taylor expansion of p in x
11.496 * [backup-simplify]: Simplify p into p
11.496 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.497 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.497 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.497 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.497 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.498 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.498 * [backup-simplify]: Simplify (+ 0 0) into 0
11.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.498 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.498 * [taylor]: Taking taylor expansion of x in x
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [backup-simplify]: Simplify 1 into 1
11.498 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.498 * [taylor]: Taking taylor expansion of 4 in x
11.498 * [backup-simplify]: Simplify 4 into 4
11.498 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.498 * [taylor]: Taking taylor expansion of p in x
11.498 * [backup-simplify]: Simplify p into p
11.499 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.499 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.499 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.499 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.499 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.500 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.500 * [backup-simplify]: Simplify (+ 0 0) into 0
11.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.500 * [taylor]: Taking taylor expansion of (* 2 p) in p
11.500 * [taylor]: Taking taylor expansion of 2 in p
11.500 * [backup-simplify]: Simplify 2 into 2
11.500 * [taylor]: Taking taylor expansion of p in p
11.500 * [backup-simplify]: Simplify 0 into 0
11.500 * [backup-simplify]: Simplify 1 into 1
11.501 * [backup-simplify]: Simplify (* 2 0) into 0
11.501 * [backup-simplify]: Simplify 0 into 0
11.501 * [taylor]: Taking taylor expansion of 0 in p
11.501 * [backup-simplify]: Simplify 0 into 0
11.501 * [backup-simplify]: Simplify 0 into 0
11.502 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.502 * [backup-simplify]: Simplify 2 into 2
11.502 * [backup-simplify]: Simplify (* 1 1) into 1
11.503 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.504 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.504 * [backup-simplify]: Simplify (+ 1 0) into 1
11.505 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
11.505 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
11.505 * [taylor]: Taking taylor expansion of 1/4 in p
11.505 * [backup-simplify]: Simplify 1/4 into 1/4
11.505 * [taylor]: Taking taylor expansion of p in p
11.505 * [backup-simplify]: Simplify 0 into 0
11.505 * [backup-simplify]: Simplify 1 into 1
11.506 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.507 * [backup-simplify]: Simplify 0 into 0
11.507 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.508 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.510 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
11.511 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
11.512 * [backup-simplify]: Simplify (+ 0 0) into 0
11.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
11.512 * [taylor]: Taking taylor expansion of 0 in p
11.512 * [backup-simplify]: Simplify 0 into 0
11.512 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.513 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
11.513 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.514 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.514 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.514 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.514 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.514 * [taylor]: Taking taylor expansion of 4 in p
11.514 * [backup-simplify]: Simplify 4 into 4
11.514 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.514 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.514 * [taylor]: Taking taylor expansion of p in p
11.514 * [backup-simplify]: Simplify 0 into 0
11.514 * [backup-simplify]: Simplify 1 into 1
11.514 * [backup-simplify]: Simplify (* 1 1) into 1
11.515 * [backup-simplify]: Simplify (/ 1 1) into 1
11.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.515 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.515 * [taylor]: Taking taylor expansion of x in p
11.515 * [backup-simplify]: Simplify x into x
11.515 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.515 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.516 * [backup-simplify]: Simplify (* 4 1) into 4
11.516 * [backup-simplify]: Simplify (+ 4 0) into 4
11.517 * [backup-simplify]: Simplify (sqrt 4) into 2
11.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.519 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.520 * [backup-simplify]: Simplify (+ 0 0) into 0
11.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.990 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.990 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.990 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.990 * [taylor]: Taking taylor expansion of 4 in x
11.990 * [backup-simplify]: Simplify 4 into 4
11.990 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.990 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.990 * [taylor]: Taking taylor expansion of p in x
11.990 * [backup-simplify]: Simplify p into p
11.990 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.991 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.991 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.991 * [taylor]: Taking taylor expansion of x in x
11.991 * [backup-simplify]: Simplify 0 into 0
11.991 * [backup-simplify]: Simplify 1 into 1
11.992 * [backup-simplify]: Simplify (* 1 1) into 1
11.992 * [backup-simplify]: Simplify (/ 1 1) into 1
11.993 * [backup-simplify]: Simplify (+ 0 1) into 1
11.993 * [backup-simplify]: Simplify (sqrt 1) into 1
11.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.995 * [backup-simplify]: Simplify (+ 0 0) into 0
11.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.996 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.996 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.996 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.996 * [taylor]: Taking taylor expansion of 4 in x
11.996 * [backup-simplify]: Simplify 4 into 4
11.996 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.996 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.996 * [taylor]: Taking taylor expansion of p in x
11.996 * [backup-simplify]: Simplify p into p
11.996 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.996 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.996 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.996 * [taylor]: Taking taylor expansion of x in x
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (* 1 1) into 1
11.997 * [backup-simplify]: Simplify (/ 1 1) into 1
11.998 * [backup-simplify]: Simplify (+ 0 1) into 1
11.998 * [backup-simplify]: Simplify (sqrt 1) into 1
11.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.008 * [backup-simplify]: Simplify (+ 0 0) into 0
12.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.009 * [taylor]: Taking taylor expansion of 1 in p
12.009 * [backup-simplify]: Simplify 1 into 1
12.009 * [taylor]: Taking taylor expansion of 0 in p
12.009 * [backup-simplify]: Simplify 0 into 0
12.009 * [backup-simplify]: Simplify 1 into 1
12.009 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
12.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.011 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
12.013 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
12.013 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
12.013 * [taylor]: Taking taylor expansion of 2 in p
12.013 * [backup-simplify]: Simplify 2 into 2
12.013 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.013 * [taylor]: Taking taylor expansion of p in p
12.013 * [backup-simplify]: Simplify 0 into 0
12.013 * [backup-simplify]: Simplify 1 into 1
12.013 * [backup-simplify]: Simplify (* 1 1) into 1
12.013 * [backup-simplify]: Simplify (/ 2 1) into 2
12.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
12.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
12.015 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
12.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.016 * [backup-simplify]: Simplify (+ 0 0) into 0
12.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
12.017 * [taylor]: Taking taylor expansion of 0 in p
12.017 * [backup-simplify]: Simplify 0 into 0
12.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
12.018 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
12.018 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
12.018 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
12.018 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
12.018 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
12.018 * [taylor]: Taking taylor expansion of 4 in p
12.018 * [backup-simplify]: Simplify 4 into 4
12.018 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
12.018 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.018 * [taylor]: Taking taylor expansion of p in p
12.019 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify 1 into 1
12.019 * [backup-simplify]: Simplify (* 1 1) into 1
12.019 * [backup-simplify]: Simplify (/ 1 1) into 1
12.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
12.019 * [taylor]: Taking taylor expansion of (pow x 2) in p
12.019 * [taylor]: Taking taylor expansion of x in p
12.019 * [backup-simplify]: Simplify x into x
12.019 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.019 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.020 * [backup-simplify]: Simplify (* 4 1) into 4
12.020 * [backup-simplify]: Simplify (+ 4 0) into 4
12.020 * [backup-simplify]: Simplify (sqrt 4) into 2
12.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.021 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
12.022 * [backup-simplify]: Simplify (+ 0 0) into 0
12.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
12.022 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
12.022 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
12.022 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
12.022 * [taylor]: Taking taylor expansion of 4 in x
12.022 * [backup-simplify]: Simplify 4 into 4
12.022 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
12.022 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.022 * [taylor]: Taking taylor expansion of p in x
12.022 * [backup-simplify]: Simplify p into p
12.022 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.022 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
12.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.022 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.022 * [taylor]: Taking taylor expansion of x in x
12.022 * [backup-simplify]: Simplify 0 into 0
12.022 * [backup-simplify]: Simplify 1 into 1
12.023 * [backup-simplify]: Simplify (* 1 1) into 1
12.023 * [backup-simplify]: Simplify (/ 1 1) into 1
12.023 * [backup-simplify]: Simplify (+ 0 1) into 1
12.024 * [backup-simplify]: Simplify (sqrt 1) into 1
12.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.025 * [backup-simplify]: Simplify (+ 0 0) into 0
12.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.025 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
12.025 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
12.025 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
12.025 * [taylor]: Taking taylor expansion of 4 in x
12.025 * [backup-simplify]: Simplify 4 into 4
12.025 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
12.025 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.025 * [taylor]: Taking taylor expansion of p in x
12.025 * [backup-simplify]: Simplify p into p
12.025 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.025 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
12.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.025 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.025 * [taylor]: Taking taylor expansion of x in x
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (* 1 1) into 1
12.026 * [backup-simplify]: Simplify (/ 1 1) into 1
12.026 * [backup-simplify]: Simplify (+ 0 1) into 1
12.026 * [backup-simplify]: Simplify (sqrt 1) into 1
12.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.028 * [backup-simplify]: Simplify (+ 0 0) into 0
12.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.028 * [taylor]: Taking taylor expansion of 1 in p
12.028 * [backup-simplify]: Simplify 1 into 1
12.028 * [taylor]: Taking taylor expansion of 0 in p
12.028 * [backup-simplify]: Simplify 0 into 0
12.028 * [backup-simplify]: Simplify 1 into 1
12.028 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
12.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.030 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
12.030 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
12.030 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
12.030 * [taylor]: Taking taylor expansion of 2 in p
12.030 * [backup-simplify]: Simplify 2 into 2
12.030 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.030 * [taylor]: Taking taylor expansion of p in p
12.030 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 1 into 1
12.031 * [backup-simplify]: Simplify (* 1 1) into 1
12.031 * [backup-simplify]: Simplify (/ 2 1) into 2
12.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
12.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
12.033 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
12.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (+ 0 0) into 0
12.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
12.034 * [taylor]: Taking taylor expansion of 0 in p
12.034 * [backup-simplify]: Simplify 0 into 0
12.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.036 * [backup-simplify]: Simplify 0 into 0
12.036 * [backup-simplify]: Simplify 0 into 0
12.036 * [backup-simplify]: Simplify 0 into 0
12.036 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
12.036 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
12.036 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
12.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
12.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
12.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
12.036 * [taylor]: Taking taylor expansion of (pow x 2) in p
12.036 * [taylor]: Taking taylor expansion of x in p
12.036 * [backup-simplify]: Simplify x into x
12.036 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
12.036 * [taylor]: Taking taylor expansion of 4 in p
12.036 * [backup-simplify]: Simplify 4 into 4
12.036 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.036 * [taylor]: Taking taylor expansion of p in p
12.036 * [backup-simplify]: Simplify 0 into 0
12.036 * [backup-simplify]: Simplify 1 into 1
12.036 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.036 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.036 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
12.036 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.037 * [backup-simplify]: Simplify (+ 0 0) into 0
12.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
12.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
12.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
12.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.037 * [taylor]: Taking taylor expansion of x in x
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
12.037 * [taylor]: Taking taylor expansion of 4 in x
12.037 * [backup-simplify]: Simplify 4 into 4
12.037 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.037 * [taylor]: Taking taylor expansion of p in x
12.037 * [backup-simplify]: Simplify p into p
12.037 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.037 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
12.037 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
12.037 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
12.037 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
12.038 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
12.038 * [backup-simplify]: Simplify (+ 0 0) into 0
12.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
12.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
12.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
12.038 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.038 * [taylor]: Taking taylor expansion of x in x
12.038 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify 1 into 1
12.038 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
12.038 * [taylor]: Taking taylor expansion of 4 in x
12.038 * [backup-simplify]: Simplify 4 into 4
12.038 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.038 * [taylor]: Taking taylor expansion of p in x
12.038 * [backup-simplify]: Simplify p into p
12.038 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.038 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
12.038 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
12.039 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
12.039 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
12.039 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
12.039 * [backup-simplify]: Simplify (+ 0 0) into 0
12.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
12.039 * [taylor]: Taking taylor expansion of (* 2 p) in p
12.039 * [taylor]: Taking taylor expansion of 2 in p
12.039 * [backup-simplify]: Simplify 2 into 2
12.039 * [taylor]: Taking taylor expansion of p in p
12.039 * [backup-simplify]: Simplify 0 into 0
12.039 * [backup-simplify]: Simplify 1 into 1
12.040 * [backup-simplify]: Simplify (* 2 0) into 0
12.040 * [backup-simplify]: Simplify 0 into 0
12.040 * [taylor]: Taking taylor expansion of 0 in p
12.040 * [backup-simplify]: Simplify 0 into 0
12.040 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
12.041 * [backup-simplify]: Simplify 2 into 2
12.041 * [backup-simplify]: Simplify (* 1 1) into 1
12.041 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
12.042 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
12.042 * [backup-simplify]: Simplify (+ 1 0) into 1
12.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
12.043 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
12.043 * [taylor]: Taking taylor expansion of 1/4 in p
12.043 * [backup-simplify]: Simplify 1/4 into 1/4
12.043 * [taylor]: Taking taylor expansion of p in p
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 1 into 1
12.043 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
12.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
12.044 * [backup-simplify]: Simplify 0 into 0
12.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.045 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
12.046 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
12.046 * [backup-simplify]: Simplify (+ 0 0) into 0
12.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
12.046 * [taylor]: Taking taylor expansion of 0 in p
12.046 * [backup-simplify]: Simplify 0 into 0
12.046 * [backup-simplify]: Simplify 0 into 0
12.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.047 * [backup-simplify]: Simplify 0 into 0
12.047 * [backup-simplify]: Simplify 0 into 0
12.047 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
12.047 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
12.047 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
12.047 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
12.047 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
12.047 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
12.047 * [taylor]: Taking taylor expansion of 4 in p
12.047 * [backup-simplify]: Simplify 4 into 4
12.047 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
12.047 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.047 * [taylor]: Taking taylor expansion of p in p
12.047 * [backup-simplify]: Simplify 0 into 0
12.047 * [backup-simplify]: Simplify 1 into 1
12.048 * [backup-simplify]: Simplify (* 1 1) into 1
12.048 * [backup-simplify]: Simplify (/ 1 1) into 1
12.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
12.048 * [taylor]: Taking taylor expansion of (pow x 2) in p
12.048 * [taylor]: Taking taylor expansion of x in p
12.048 * [backup-simplify]: Simplify x into x
12.048 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.048 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.048 * [backup-simplify]: Simplify (* 4 1) into 4
12.049 * [backup-simplify]: Simplify (+ 4 0) into 4
12.049 * [backup-simplify]: Simplify (sqrt 4) into 2
12.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.050 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
12.051 * [backup-simplify]: Simplify (+ 0 0) into 0
12.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
12.051 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
12.051 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
12.051 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
12.051 * [taylor]: Taking taylor expansion of 4 in x
12.051 * [backup-simplify]: Simplify 4 into 4
12.051 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
12.051 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.051 * [taylor]: Taking taylor expansion of p in x
12.051 * [backup-simplify]: Simplify p into p
12.051 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.051 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
12.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.051 * [taylor]: Taking taylor expansion of x in x
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 1 into 1
12.052 * [backup-simplify]: Simplify (* 1 1) into 1
12.052 * [backup-simplify]: Simplify (/ 1 1) into 1
12.052 * [backup-simplify]: Simplify (+ 0 1) into 1
12.052 * [backup-simplify]: Simplify (sqrt 1) into 1
12.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.053 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.054 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
12.054 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
12.054 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
12.054 * [taylor]: Taking taylor expansion of 4 in x
12.054 * [backup-simplify]: Simplify 4 into 4
12.054 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
12.054 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.054 * [taylor]: Taking taylor expansion of p in x
12.054 * [backup-simplify]: Simplify p into p
12.054 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.054 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
12.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.054 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.054 * [taylor]: Taking taylor expansion of x in x
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify 1 into 1
12.055 * [backup-simplify]: Simplify (* 1 1) into 1
12.055 * [backup-simplify]: Simplify (/ 1 1) into 1
12.055 * [backup-simplify]: Simplify (+ 0 1) into 1
12.055 * [backup-simplify]: Simplify (sqrt 1) into 1
12.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.056 * [backup-simplify]: Simplify (+ 0 0) into 0
12.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.057 * [taylor]: Taking taylor expansion of 1 in p
12.057 * [backup-simplify]: Simplify 1 into 1
12.057 * [taylor]: Taking taylor expansion of 0 in p
12.057 * [backup-simplify]: Simplify 0 into 0
12.057 * [backup-simplify]: Simplify 1 into 1
12.057 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
12.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.058 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
12.059 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
12.059 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
12.059 * [taylor]: Taking taylor expansion of 2 in p
12.059 * [backup-simplify]: Simplify 2 into 2
12.059 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.059 * [taylor]: Taking taylor expansion of p in p
12.059 * [backup-simplify]: Simplify 0 into 0
12.059 * [backup-simplify]: Simplify 1 into 1
12.060 * [backup-simplify]: Simplify (* 1 1) into 1
12.060 * [backup-simplify]: Simplify (/ 2 1) into 2
12.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
12.061 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
12.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
12.062 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
12.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.063 * [backup-simplify]: Simplify (+ 0 0) into 0
12.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
12.063 * [taylor]: Taking taylor expansion of 0 in p
12.063 * [backup-simplify]: Simplify 0 into 0
12.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.065 * [backup-simplify]: Simplify 0 into 0
12.065 * [backup-simplify]: Simplify 0 into 0
12.065 * [backup-simplify]: Simplify 0 into 0
12.065 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
12.065 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
12.065 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
12.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
12.065 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
12.065 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
12.065 * [taylor]: Taking taylor expansion of 4 in p
12.065 * [backup-simplify]: Simplify 4 into 4
12.065 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
12.065 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.065 * [taylor]: Taking taylor expansion of p in p
12.065 * [backup-simplify]: Simplify 0 into 0
12.065 * [backup-simplify]: Simplify 1 into 1
12.066 * [backup-simplify]: Simplify (* 1 1) into 1
12.066 * [backup-simplify]: Simplify (/ 1 1) into 1
12.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
12.066 * [taylor]: Taking taylor expansion of (pow x 2) in p
12.066 * [taylor]: Taking taylor expansion of x in p
12.066 * [backup-simplify]: Simplify x into x
12.066 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.066 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.066 * [backup-simplify]: Simplify (* 4 1) into 4
12.067 * [backup-simplify]: Simplify (+ 4 0) into 4
12.067 * [backup-simplify]: Simplify (sqrt 4) into 2
12.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.068 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
12.069 * [backup-simplify]: Simplify (+ 0 0) into 0
12.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
12.070 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
12.070 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
12.070 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
12.070 * [taylor]: Taking taylor expansion of 4 in x
12.070 * [backup-simplify]: Simplify 4 into 4
12.070 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
12.070 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.070 * [taylor]: Taking taylor expansion of p in x
12.070 * [backup-simplify]: Simplify p into p
12.070 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.070 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
12.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.070 * [taylor]: Taking taylor expansion of x in x
12.070 * [backup-simplify]: Simplify 0 into 0
12.070 * [backup-simplify]: Simplify 1 into 1
12.071 * [backup-simplify]: Simplify (* 1 1) into 1
12.071 * [backup-simplify]: Simplify (/ 1 1) into 1
12.071 * [backup-simplify]: Simplify (+ 0 1) into 1
12.072 * [backup-simplify]: Simplify (sqrt 1) into 1
12.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.074 * [backup-simplify]: Simplify (+ 0 0) into 0
12.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
12.074 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
12.075 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
12.075 * [taylor]: Taking taylor expansion of 4 in x
12.075 * [backup-simplify]: Simplify 4 into 4
12.075 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
12.075 * [taylor]: Taking taylor expansion of (pow p 2) in x
12.075 * [taylor]: Taking taylor expansion of p in x
12.075 * [backup-simplify]: Simplify p into p
12.075 * [backup-simplify]: Simplify (* p p) into (pow p 2)
12.075 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
12.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.075 * [taylor]: Taking taylor expansion of x in x
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 1 into 1
12.075 * [backup-simplify]: Simplify (* 1 1) into 1
12.076 * [backup-simplify]: Simplify (/ 1 1) into 1
12.076 * [backup-simplify]: Simplify (+ 0 1) into 1
12.077 * [backup-simplify]: Simplify (sqrt 1) into 1
12.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.079 * [backup-simplify]: Simplify (+ 0 0) into 0
12.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.079 * [taylor]: Taking taylor expansion of 1 in p
12.079 * [backup-simplify]: Simplify 1 into 1
12.079 * [taylor]: Taking taylor expansion of 0 in p
12.079 * [backup-simplify]: Simplify 0 into 0
12.079 * [backup-simplify]: Simplify 1 into 1
12.080 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
12.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.082 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
12.083 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
12.083 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
12.083 * [taylor]: Taking taylor expansion of 2 in p
12.083 * [backup-simplify]: Simplify 2 into 2
12.083 * [taylor]: Taking taylor expansion of (pow p 2) in p
12.083 * [taylor]: Taking taylor expansion of p in p
12.083 * [backup-simplify]: Simplify 0 into 0
12.083 * [backup-simplify]: Simplify 1 into 1
12.083 * [backup-simplify]: Simplify (* 1 1) into 1
12.084 * [backup-simplify]: Simplify (/ 2 1) into 2
12.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
12.085 * [backup-simplify]: Simplify 0 into 0
12.085 * [backup-simplify]: Simplify 0 into 0
12.085 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
12.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
12.087 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
12.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.089 * [backup-simplify]: Simplify (+ 0 0) into 0
12.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
12.090 * [taylor]: Taking taylor expansion of 0 in p
12.090 * [backup-simplify]: Simplify 0 into 0
12.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.092 * [backup-simplify]: Simplify 0 into 0
12.093 * [backup-simplify]: Simplify 0 into 0
12.093 * [backup-simplify]: Simplify 0 into 0
12.093 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
12.093 * * * [progress]: simplifying candidates
12.093 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) 1/2))))))))>
12.093 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))))))))>
12.093 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.093 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.093 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.094 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.095 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))))>
12.095 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.095 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
12.095 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))))))))>
12.095 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))))))))>
12.095 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))))))))>
12.095 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.096 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
12.096 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
12.096 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
12.096 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.096 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.096 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.096 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.096 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.097 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.098 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.099 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.100 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.101 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* 2 p))))))))>
12.102 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) x)))))))>
12.102 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* -1 x))))))))>
12.102 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* 2 p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* -1 x)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* 2 p))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt x)) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* -1 x))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* 2 p)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.102 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (* -1 x)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>
12.104 * [simplify]: Simplifying (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt 1), (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))), (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), (/ 1 2), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x), (* 2 p), x, (* -1 x)
12.105 * * [simplify]: iteration 1: (42 enodes)
12.139 * * [simplify]: iteration 2: (176 enodes)
12.187 * * [simplify]: iteration 3: (370 enodes)
12.342 * * [simplify]: iteration 4: (914 enodes)
12.941 * * [simplify]: Extracting #0: cost 19 inf + 0
12.941 * * [simplify]: Extracting #1: cost 44 inf + 3
12.942 * * [simplify]: Extracting #2: cost 96 inf + 89
12.944 * * [simplify]: Extracting #3: cost 307 inf + 1632
12.954 * * [simplify]: Extracting #4: cost 438 inf + 25701
12.977 * * [simplify]: Extracting #5: cost 52 inf + 99458
13.012 * * [simplify]: Extracting #6: cost 1 inf + 116089
13.052 * * [simplify]: Extracting #7: cost 0 inf + 116372
13.100 * [simplify]: Simplified to (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) (* x x)) (* x x)))), (sqrt (+ (* (- (* x x) (* (* p 4) p)) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) (* x x)) (* x x)))), (sqrt (+ (* (- (* x x) (* (* p 4) p)) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) (* x x)) (* x x)))), (sqrt (+ (* (- (* x x) (* (* p 4) p)) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (log (sqrt (+ (* x x) (* (* p 4) p)))), (exp (sqrt (+ (* x x) (* (* p 4) p)))), (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))), (cbrt (sqrt (+ (* x x) (* (* p 4) p)))), (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))), (fabs (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (cbrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), 1, (sqrt (+ (* x x) (* (* p 4) p))), (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) (* x x)) (* x x)))), (sqrt (+ (* (- (* x x) (* (* p 4) p)) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))), (sqrt (- (* x x) (* (* p 4) p))), 1/2, (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (sqrt (sqrt (+ (* x x) (* (* p 4) p)))), (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))), (* p 2), x, (- x), (* p 2), x, (- x), (* p 2), x, (- x), (* p 2), x, (- x)
13.143 * * * [progress]: adding candidates to table
14.912 * [progress]: [Phase 3 of 3] Extracting.
14.912 * * [regime]: Finding splitpoints for: (#<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* x (/ x (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (* (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>)
14.923 * * * [regime-changes]: Trying 2 branch expressions: (p x)
14.923 * * * * [regimes]: Trying to branch on p from (#<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* x (/ x (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (* (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>)
15.046 * * * * [regimes]: Trying to branch on x from (#<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (sqrt (+ (* 0.5 (* (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* x (/ x (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* (* x x) (* (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p)))))) (cbrt (/ 1 (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))> #<alt (λ (p x) (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p))))))))))>)
15.205 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
15.205 * [simplify]: Simplifying (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* x (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p)))))) (sqrt (+ (* x x) (* (* p 4) p)))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* p 4) p)))))))))
15.206 * * [simplify]: iteration 1: (29 enodes)
15.207 * * [simplify]: iteration 2: (41 enodes)
15.209 * * [simplify]: Extracting #0: cost 1 inf + 0
15.209 * * [simplify]: Extracting #1: cost 3 inf + 0
15.209 * * [simplify]: Extracting #2: cost 5 inf + 0
15.209 * * [simplify]: Extracting #3: cost 9 inf + 0
15.209 * * [simplify]: Extracting #4: cost 14 inf + 0
15.210 * * [simplify]: Extracting #5: cost 18 inf + 1
15.210 * * [simplify]: Extracting #6: cost 22 inf + 42
15.210 * * [simplify]: Extracting #7: cost 22 inf + 165
15.210 * * [simplify]: Extracting #8: cost 22 inf + 208
15.210 * * [simplify]: Extracting #9: cost 18 inf + 334
15.210 * * [simplify]: Extracting #10: cost 12 inf + 1705
15.211 * * [simplify]: Extracting #11: cost 7 inf + 3546
15.211 * * [simplify]: Extracting #12: cost 4 inf + 5039
15.212 * * [simplify]: Extracting #13: cost 2 inf + 6228
15.213 * * [simplify]: Extracting #14: cost 0 inf + 7917
15.215 * [simplify]: Simplified to (/ (sqrt (+ (/ (* (* 0.5 (* 0.5 0.5)) (* (* (/ 1 (+ (* x x) (* p (* 4 p)))) (* x x)) x)) (sqrt (+ (* x x) (* p (* 4 p))))) (* 0.5 (* 0.5 0.5)))) (sqrt (- (* 0.5 0.5) (* (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* p (* 4 p)))))))))))
20.408 * [regime-testing]: Baseline error score: 13.296493609247026
20.413 * [regime-testing]: Oracle error score: 12.763124259593024
20.422 * [regime-testing]: End program error score: 13.296493609247026
20.526 * [regime-testing]: Target error score: 13.017480945545248