0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.098 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.098 * [simplify]: Simplifying (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) 0.098 * * [simplify]: iters left: 6 (14 enodes) 0.103 * * [simplify]: iters left: 5 (57 enodes) 0.129 * * [simplify]: iters left: 4 (72 enodes) 0.147 * * [simplify]: iters left: 3 (80 enodes) 0.158 * * [simplify]: iters left: 2 (86 enodes) 0.172 * * [simplify]: iters left: 1 (88 enodes) 0.193 * * [simplify]: Extracting #0: cost 1 inf + 0 0.193 * * [simplify]: Extracting #1: cost 3 inf + 0 0.193 * * [simplify]: Extracting #2: cost 7 inf + 0 0.193 * * [simplify]: Extracting #3: cost 16 inf + 1 0.193 * * [simplify]: Extracting #4: cost 20 inf + 45 0.193 * * [simplify]: Extracting #5: cost 22 inf + 87 0.193 * * [simplify]: Extracting #6: cost 27 inf + 128 0.193 * * [simplify]: Extracting #7: cost 25 inf + 213 0.194 * * [simplify]: Extracting #8: cost 18 inf + 867 0.195 * * [simplify]: Extracting #9: cost 5 inf + 4235 0.197 * * [simplify]: Extracting #10: cost 0 inf + 5695 0.199 * * [simplify]: Extracting #11: cost 0 inf + 5693 0.201 * [simplify]: Simplified to (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 0.201 * [simplify]: Simplified (2) to (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 0.213 * * [progress]: iteration 1 / 4 0.213 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.259 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.292 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.303 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 0.303 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.303 * [taylor]: Taking taylor expansion of x in p 0.303 * [backup-simplify]: Simplify x into x 0.303 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.303 * [taylor]: Taking taylor expansion of 4 in p 0.303 * [backup-simplify]: Simplify 4 into 4 0.303 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.303 * [taylor]: Taking taylor expansion of p in p 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.304 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.304 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.304 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.305 * [taylor]: Taking taylor expansion of 4 in x 0.305 * [backup-simplify]: Simplify 4 into 4 0.305 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.305 * [taylor]: Taking taylor expansion of p in x 0.305 * [backup-simplify]: Simplify p into p 0.305 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.305 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.305 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.305 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 0.305 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.306 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.307 * [taylor]: Taking taylor expansion of 4 in x 0.307 * [backup-simplify]: Simplify 4 into 4 0.307 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.307 * [taylor]: Taking taylor expansion of p in x 0.307 * [backup-simplify]: Simplify p into p 0.307 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.307 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.307 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.307 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 0.307 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.308 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 0.308 * [taylor]: Taking taylor expansion of (* 2 p) in p 0.308 * [taylor]: Taking taylor expansion of 2 in p 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of p in p 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 2 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [taylor]: Taking taylor expansion of 0 in p 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.309 * [backup-simplify]: Simplify 2 into 2 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 0.312 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 0.312 * [taylor]: Taking taylor expansion of 1/4 in p 0.312 * [backup-simplify]: Simplify 1/4 into 1/4 0.312 * [taylor]: Taking taylor expansion of p in p 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in p 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 0.324 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 0.324 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.324 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.324 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.324 * [taylor]: Taking taylor expansion of 4 in p 0.324 * [backup-simplify]: Simplify 4 into 4 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.324 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.324 * [taylor]: Taking taylor expansion of p in p 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.325 * [taylor]: Taking taylor expansion of x in p 0.325 * [backup-simplify]: Simplify x into x 0.325 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.325 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.326 * [backup-simplify]: Simplify (* 4 1) into 4 0.326 * [backup-simplify]: Simplify (+ 4 0) into 4 0.327 * [backup-simplify]: Simplify (sqrt 4) into 2 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.330 * [taylor]: Taking taylor expansion of 4 in x 0.330 * [backup-simplify]: Simplify 4 into 4 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.330 * [taylor]: Taking taylor expansion of p in x 0.330 * [backup-simplify]: Simplify p into p 0.330 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.330 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [backup-simplify]: Simplify (sqrt 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.333 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.333 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.333 * [taylor]: Taking taylor expansion of 4 in x 0.333 * [backup-simplify]: Simplify 4 into 4 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.333 * [taylor]: Taking taylor expansion of p in x 0.333 * [backup-simplify]: Simplify p into p 0.333 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (sqrt 1) into 1 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.336 * [taylor]: Taking taylor expansion of 1 in p 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of 0 in p 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.338 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 0.338 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 0.338 * [taylor]: Taking taylor expansion of 2 in p 0.338 * [backup-simplify]: Simplify 2 into 2 0.338 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.338 * [taylor]: Taking taylor expansion of p in p 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 2 1) into 2 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in p 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.344 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 0.344 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.344 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.344 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.344 * [taylor]: Taking taylor expansion of 4 in p 0.344 * [backup-simplify]: Simplify 4 into 4 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.344 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.344 * [taylor]: Taking taylor expansion of p in p 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.344 * [taylor]: Taking taylor expansion of x in p 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.345 * [backup-simplify]: Simplify (* 4 1) into 4 0.345 * [backup-simplify]: Simplify (+ 4 0) into 4 0.345 * [backup-simplify]: Simplify (sqrt 4) into 2 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.347 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.347 * [taylor]: Taking taylor expansion of 4 in x 0.347 * [backup-simplify]: Simplify 4 into 4 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.347 * [taylor]: Taking taylor expansion of p in x 0.347 * [backup-simplify]: Simplify p into p 0.347 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.349 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.351 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.351 * [taylor]: Taking taylor expansion of 4 in x 0.351 * [backup-simplify]: Simplify 4 into 4 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.351 * [taylor]: Taking taylor expansion of p in x 0.351 * [backup-simplify]: Simplify p into p 0.351 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [backup-simplify]: Simplify (+ 0 1) into 1 0.352 * [backup-simplify]: Simplify (sqrt 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.354 * [taylor]: Taking taylor expansion of 1 in p 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of 0 in p 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.356 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 0.356 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 0.356 * [taylor]: Taking taylor expansion of 2 in p 0.356 * [backup-simplify]: Simplify 2 into 2 0.356 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.356 * [taylor]: Taking taylor expansion of p in p 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 2 1) into 2 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in p 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.365 * [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)))))))) 0.365 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 0.365 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 0.365 * [taylor]: Taking taylor expansion of 0.5 in p 0.365 * [backup-simplify]: Simplify 0.5 into 0.5 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 0.365 * [taylor]: Taking taylor expansion of 0.5 in p 0.365 * [backup-simplify]: Simplify 0.5 into 0.5 0.365 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 0.365 * [taylor]: Taking taylor expansion of x in p 0.365 * [backup-simplify]: Simplify x into x 0.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 0.365 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.365 * [taylor]: Taking taylor expansion of x in p 0.365 * [backup-simplify]: Simplify x into x 0.365 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.365 * [taylor]: Taking taylor expansion of 4 in p 0.365 * [backup-simplify]: Simplify 4 into 4 0.365 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.365 * [taylor]: Taking taylor expansion of p in p 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.366 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.366 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.366 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.366 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.367 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.367 * [taylor]: Taking taylor expansion of 0.5 in x 0.367 * [backup-simplify]: Simplify 0.5 into 0.5 0.367 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.367 * [taylor]: Taking taylor expansion of 0.5 in x 0.367 * [backup-simplify]: Simplify 0.5 into 0.5 0.367 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.367 * [taylor]: Taking taylor expansion of 4 in x 0.367 * [backup-simplify]: Simplify 4 into 4 0.367 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.367 * [taylor]: Taking taylor expansion of p in x 0.367 * [backup-simplify]: Simplify p into p 0.367 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.367 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.368 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.368 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.368 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.368 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.368 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.369 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.369 * [taylor]: Taking taylor expansion of 0.5 in x 0.369 * [backup-simplify]: Simplify 0.5 into 0.5 0.369 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.369 * [taylor]: Taking taylor expansion of 0.5 in x 0.369 * [backup-simplify]: Simplify 0.5 into 0.5 0.369 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.370 * [taylor]: Taking taylor expansion of 4 in x 0.370 * [backup-simplify]: Simplify 4 into 4 0.370 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.370 * [taylor]: Taking taylor expansion of p in x 0.370 * [backup-simplify]: Simplify p into p 0.370 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.370 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.370 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.370 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.370 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.371 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.371 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.372 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 0.372 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.373 * [taylor]: Taking taylor expansion of 0.5 in p 0.373 * [backup-simplify]: Simplify 0.5 into 0.5 0.373 * [backup-simplify]: Simplify 0.5 into 0.5 0.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 0.374 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 0.374 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 0.374 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 0.374 * [taylor]: Taking taylor expansion of 0.25 in p 0.374 * [backup-simplify]: Simplify 0.25 into 0.25 0.374 * [taylor]: Taking taylor expansion of (/ 1 p) in p 0.375 * [taylor]: Taking taylor expansion of p in p 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [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)))) 0.381 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 0.382 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in p 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [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 0.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 0.391 * [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)))) 0.392 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 0.392 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 0.392 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 0.392 * [taylor]: Taking taylor expansion of 0.03125 in p 0.392 * [backup-simplify]: Simplify 0.03125 into 0.03125 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 0.392 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.392 * [taylor]: Taking taylor expansion of p in p 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0.5 into 0.5 0.404 * [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) 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.404 * [taylor]: Taking taylor expansion of 0.5 in p 0.404 * [backup-simplify]: Simplify 0.5 into 0.5 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.404 * [taylor]: Taking taylor expansion of x in p 0.404 * [backup-simplify]: Simplify x into x 0.405 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.405 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 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 0.405 * [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) 0.406 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.407 * [backup-simplify]: Simplify (* 4 1) into 4 0.407 * [backup-simplify]: Simplify (+ 4 0) into 4 0.408 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.408 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 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 (- (+ (* 1/4 (/ 0 4)))) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.413 * [taylor]: Taking taylor expansion of 0.5 in p 0.413 * [backup-simplify]: Simplify 0.5 into 0.5 0.413 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [backup-simplify]: Simplify 0.5 into 0.5 0.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.413 * [taylor]: Taking taylor expansion of 4 in x 0.413 * [backup-simplify]: Simplify 4 into 4 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.414 * [taylor]: Taking taylor expansion of p in x 0.414 * [backup-simplify]: Simplify p into p 0.414 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * [backup-simplify]: Simplify 0.5 into 0.5 0.420 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * [backup-simplify]: Simplify 0.5 into 0.5 0.420 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.420 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.421 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.421 * [taylor]: Taking taylor expansion of 4 in x 0.421 * [backup-simplify]: Simplify 4 into 4 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.421 * [taylor]: Taking taylor expansion of p in x 0.421 * [backup-simplify]: Simplify p into p 0.421 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.421 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (+ 0 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.427 * [taylor]: Taking taylor expansion of 0.5 in x 0.427 * [backup-simplify]: Simplify 0.5 into 0.5 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.428 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.428 * [taylor]: Taking taylor expansion of 1.0 in p 0.428 * [backup-simplify]: Simplify 1.0 into 1.0 0.428 * [backup-simplify]: Simplify 1.0 into 1.0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in p 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.436 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.439 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.440 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 0.440 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 0.440 * [taylor]: Taking taylor expansion of 1.0 in p 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.440 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.440 * [taylor]: Taking taylor expansion of p in p 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [taylor]: Taking taylor expansion of 0 in p 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1.0 into 1.0 0.456 * [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)))))))) 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 0.456 * [taylor]: Taking taylor expansion of 0.5 in p 0.456 * [backup-simplify]: Simplify 0.5 into 0.5 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.456 * [taylor]: Taking taylor expansion of 0.5 in p 0.456 * [backup-simplify]: Simplify 0.5 into 0.5 0.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.456 * [taylor]: Taking taylor expansion of x in p 0.456 * [backup-simplify]: Simplify x into x 0.456 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.456 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.456 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.456 * [taylor]: Taking taylor expansion of 4 in p 0.456 * [backup-simplify]: Simplify 4 into 4 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.456 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.456 * [taylor]: Taking taylor expansion of p in p 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.457 * [taylor]: Taking taylor expansion of x in p 0.457 * [backup-simplify]: Simplify x into x 0.457 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.458 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.458 * [backup-simplify]: Simplify (* 4 1) into 4 0.458 * [backup-simplify]: Simplify (+ 4 0) into 4 0.459 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.459 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.466 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.466 * [taylor]: Taking taylor expansion of 0.5 in x 0.466 * [backup-simplify]: Simplify 0.5 into 0.5 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.466 * [taylor]: Taking taylor expansion of 0.5 in x 0.466 * [backup-simplify]: Simplify 0.5 into 0.5 0.466 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.466 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.466 * [taylor]: Taking taylor expansion of 4 in x 0.466 * [backup-simplify]: Simplify 4 into 4 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.466 * [taylor]: Taking taylor expansion of p in x 0.466 * [backup-simplify]: Simplify p into p 0.466 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ 0 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (sqrt 1) into 1 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.470 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.470 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [backup-simplify]: Simplify 0.5 into 0.5 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.470 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [backup-simplify]: Simplify 0.5 into 0.5 0.470 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.470 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.470 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.470 * [taylor]: Taking taylor expansion of 4 in x 0.470 * [backup-simplify]: Simplify 4 into 4 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.470 * [taylor]: Taking taylor expansion of p in x 0.470 * [backup-simplify]: Simplify p into p 0.470 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.470 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (sqrt 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.475 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.475 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in p 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in p 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.480 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.481 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.481 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 0.482 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 0.482 * [taylor]: Taking taylor expansion of 1.0 in p 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.482 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.482 * [taylor]: Taking taylor expansion of p in p 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.486 * [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))))))))) 0.486 * [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 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in p 0.486 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 0.486 * [taylor]: Taking taylor expansion of 0.5 in p 0.486 * [backup-simplify]: Simplify 0.5 into 0.5 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 0.486 * [taylor]: Taking taylor expansion of 0.5 in p 0.486 * [backup-simplify]: Simplify 0.5 into 0.5 0.486 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 0.486 * [taylor]: Taking taylor expansion of x in p 0.486 * [backup-simplify]: Simplify x into x 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 0.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.486 * [taylor]: Taking taylor expansion of x in p 0.486 * [backup-simplify]: Simplify x into x 0.486 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.486 * [taylor]: Taking taylor expansion of 4 in p 0.486 * [backup-simplify]: Simplify 4 into 4 0.486 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.486 * [taylor]: Taking taylor expansion of p in p 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.486 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.486 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.486 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.487 * [backup-simplify]: Simplify (* x (/ 1 x)) into 1 0.487 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.488 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.488 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.488 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (/ 1 x))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x 0.489 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.489 * [taylor]: Taking taylor expansion of 0.5 in x 0.489 * [backup-simplify]: Simplify 0.5 into 0.5 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.489 * [taylor]: Taking taylor expansion of 0.5 in x 0.489 * [backup-simplify]: Simplify 0.5 into 0.5 0.489 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.490 * [taylor]: Taking taylor expansion of 4 in x 0.490 * [backup-simplify]: Simplify 4 into 4 0.490 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.490 * [taylor]: Taking taylor expansion of p in x 0.490 * [backup-simplify]: Simplify p into p 0.490 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.490 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.490 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.490 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.490 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.490 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.490 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.491 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 0.491 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.492 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.492 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 0.492 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 0.492 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 0.493 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5))) 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x 0.493 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.494 * [taylor]: Taking taylor expansion of 0.5 in x 0.494 * [backup-simplify]: Simplify 0.5 into 0.5 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.494 * [taylor]: Taking taylor expansion of 0.5 in x 0.494 * [backup-simplify]: Simplify 0.5 into 0.5 0.494 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.494 * [taylor]: Taking taylor expansion of 4 in x 0.494 * [backup-simplify]: Simplify 4 into 4 0.494 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.494 * [taylor]: Taking taylor expansion of p in x 0.494 * [backup-simplify]: Simplify p into p 0.494 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.494 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.494 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.494 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.495 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.495 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.495 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.496 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 0.497 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.498 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 0.499 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 0.499 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 0.500 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5))) 0.500 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.500 * [taylor]: Taking taylor expansion of 0.5 in p 0.500 * [backup-simplify]: Simplify 0.5 into 0.5 0.501 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.502 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.502 * [taylor]: Taking taylor expansion of (/ 0.125 (* p (sqrt 0.5))) in p 0.502 * [taylor]: Taking taylor expansion of 0.125 in p 0.502 * [backup-simplify]: Simplify 0.125 into 0.125 0.502 * [taylor]: Taking taylor expansion of (* p (sqrt 0.5)) in p 0.502 * [taylor]: Taking taylor expansion of p in p 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.502 * [taylor]: Taking taylor expansion of 0.5 in p 0.502 * [backup-simplify]: Simplify 0.5 into 0.5 0.503 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.504 * [backup-simplify]: Simplify (* 0 (sqrt 0.5)) into 0 0.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.5))) into (sqrt 0.5) 0.507 * [backup-simplify]: Simplify (/ 0.125 (sqrt 0.5)) into (/ 0.125 (sqrt 0.5)) 0.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.5)))) into 0 0.511 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.514 * [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)))) 0.515 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 0.515 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [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))) 0.519 * [taylor]: Taking taylor expansion of (/ -0.0078125 (* (pow p 2) (pow (sqrt 0.5) 3))) in p 0.519 * [taylor]: Taking taylor expansion of -0.0078125 in p 0.519 * [backup-simplify]: Simplify -0.0078125 into -0.0078125 0.519 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 0.5) 3)) in p 0.519 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.519 * [taylor]: Taking taylor expansion of p in p 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in p 0.519 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.519 * [taylor]: Taking taylor expansion of 0.5 in p 0.519 * [backup-simplify]: Simplify 0.5 into 0.5 0.519 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) 0.522 * [backup-simplify]: Simplify (* (sqrt 0.5) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 3) 0.523 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 3)) into (pow (sqrt 0.5) 3) 0.524 * [backup-simplify]: Simplify (/ -0.0078125 (pow (sqrt 0.5) 3)) into (/ -0.0078125 (pow (sqrt 0.5) 3)) 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.526 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 0.527 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (pow (sqrt 0.5) 2))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 3)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 3))) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 0.5) 3)) (+ (* (/ -0.0078125 (pow (sqrt 0.5) 3)) (/ 0 (pow (sqrt 0.5) 3))))) into 0 0.531 * [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 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [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 0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 0.538 * [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)))) 0.538 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 0.540 * [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))) 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of 1/2 in p 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) in p 0.540 * [taylor]: Taking taylor expansion of (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) in p 0.540 * [taylor]: Taking taylor expansion of 0.001953125 in p 0.540 * [backup-simplify]: Simplify 0.001953125 into 0.001953125 0.540 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4))) in p 0.540 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 0.5) 4)) in p 0.540 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.540 * [taylor]: Taking taylor expansion of p in p 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 4) in p 0.540 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.540 * [taylor]: Taking taylor expansion of 0.5 in p 0.540 * [backup-simplify]: Simplify 0.5 into 0.5 0.540 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) 0.544 * [backup-simplify]: Simplify (* (pow (sqrt 0.5) 2) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 4) 0.545 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 4)) into (pow (sqrt 0.5) 4) 0.546 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 0.5) 4)) into (/ 1 (pow (sqrt 0.5) 4)) 0.546 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 0.546 * [taylor]: Taking taylor expansion of 0.03125 in p 0.546 * [backup-simplify]: Simplify 0.03125 into 0.03125 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 0.546 * [taylor]: Taking taylor expansion of (pow p 3) 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 1) into 1 0.547 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 0.547 * [taylor]: Taking taylor expansion of 0.5 in p 0.547 * [backup-simplify]: Simplify 0.5 into 0.5 0.547 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 0.549 * [backup-simplify]: Simplify (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) into (/ 0.001953125 (pow (sqrt 0.5) 4)) 0.549 * [backup-simplify]: Simplify (* 0.03125 1) into 0.03125 0.549 * [backup-simplify]: Simplify (- 0.03125) into (- 0.03125) 0.551 * [backup-simplify]: Simplify (+ (/ 0.001953125 (pow (sqrt 0.5) 4)) (- 0.03125)) into (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) 0.555 * [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)) 0.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 0.557 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0 0.557 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 0.558 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2))))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.564 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (* 0 (pow (sqrt 0.5) 2))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4))))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 4))) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4)))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))) (* 0 (/ 0 (pow (sqrt 0.5) 4))))) into 0 0.581 * [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 0.583 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 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 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0.03125 0) (* 0 1)) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [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 0.602 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4))))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [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 0.609 * [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 0.612 * [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 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.613 * [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)) 0.613 * [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 0.613 * [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 0.613 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.613 * [taylor]: Taking taylor expansion of 0.5 in p 0.613 * [backup-simplify]: Simplify 0.5 into 0.5 0.614 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.614 * [taylor]: Taking taylor expansion of x in p 0.614 * [backup-simplify]: Simplify x into x 0.614 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.614 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.614 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.614 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.614 * [taylor]: Taking taylor expansion of 4 in p 0.614 * [backup-simplify]: Simplify 4 into 4 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.614 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.614 * [taylor]: Taking taylor expansion of p in p 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.615 * [taylor]: Taking taylor expansion of x in p 0.615 * [backup-simplify]: Simplify x into x 0.615 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.615 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.616 * [backup-simplify]: Simplify (* 4 1) into 4 0.616 * [backup-simplify]: Simplify (+ 4 0) into 4 0.617 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.617 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.621 * [taylor]: Taking taylor expansion of 0.5 in p 0.621 * [backup-simplify]: Simplify 0.5 into 0.5 0.622 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.622 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.622 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x) 0.623 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x) 0.623 * [backup-simplify]: Simplify (+ (/ 0.25 x) 0) into (* 0.25 (/ 1 x)) 0.624 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 x)) (* 2 (sqrt 0.5))) into (/ 0.125 (* x (sqrt 0.5))) 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.624 * [taylor]: Taking taylor expansion of 0.5 in x 0.624 * [backup-simplify]: Simplify 0.5 into 0.5 0.624 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.625 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.625 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.625 * [taylor]: Taking taylor expansion of 4 in x 0.625 * [backup-simplify]: Simplify 4 into 4 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.625 * [taylor]: Taking taylor expansion of p in x 0.625 * [backup-simplify]: Simplify p into p 0.625 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.625 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify (sqrt 1) into 1 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.631 * [taylor]: Taking taylor expansion of 0.5 in x 0.631 * [backup-simplify]: Simplify 0.5 into 0.5 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.632 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.632 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.636 * [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 0.636 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.636 * [taylor]: Taking taylor expansion of 0.5 in x 0.636 * [backup-simplify]: Simplify 0.5 into 0.5 0.636 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (/ 1 1) into 1 0.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.637 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.637 * [taylor]: Taking taylor expansion of 4 in x 0.637 * [backup-simplify]: Simplify 4 into 4 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.637 * [taylor]: Taking taylor expansion of p in x 0.637 * [backup-simplify]: Simplify p into p 0.637 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.637 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [backup-simplify]: Simplify (+ 0 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [backup-simplify]: Simplify (sqrt 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.642 * [taylor]: Taking taylor expansion of 0.5 in x 0.642 * [backup-simplify]: Simplify 0.5 into 0.5 0.643 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.644 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.644 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.648 * [taylor]: Taking taylor expansion of 1.0 in p 0.648 * [backup-simplify]: Simplify 1.0 into 1.0 0.648 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.649 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.649 * [taylor]: Taking taylor expansion of 0 in p 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.654 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.656 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.657 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 0.658 * [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))) 0.659 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow p 2) (sqrt 1.0))) in p 0.659 * [taylor]: Taking taylor expansion of -0.5 in p 0.659 * [backup-simplify]: Simplify -0.5 into -0.5 0.659 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 1.0)) in p 0.659 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.659 * [taylor]: Taking taylor expansion of p in p 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.659 * [taylor]: Taking taylor expansion of 1.0 in p 0.659 * [backup-simplify]: Simplify 1.0 into 1.0 0.659 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.662 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 0.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 0.668 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.669 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (* (pow p 2) (sqrt 1.0))))))) (* 2 (sqrt 1.0))) into 0 0.681 * [taylor]: Taking taylor expansion of 0 in p 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.682 * [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))))))))) 0.682 * [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 0.682 * [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 0.683 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 0.683 * [taylor]: Taking taylor expansion of 0.5 in p 0.683 * [backup-simplify]: Simplify 0.5 into 0.5 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.683 * [taylor]: Taking taylor expansion of 0.5 in p 0.683 * [backup-simplify]: Simplify 0.5 into 0.5 0.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.683 * [taylor]: Taking taylor expansion of x in p 0.683 * [backup-simplify]: Simplify x into x 0.683 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.683 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.683 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.683 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.683 * [taylor]: Taking taylor expansion of 4 in p 0.683 * [backup-simplify]: Simplify 4 into 4 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.683 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.683 * [taylor]: Taking taylor expansion of p in p 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.684 * [taylor]: Taking taylor expansion of x in p 0.684 * [backup-simplify]: Simplify x into x 0.684 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.684 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.685 * [backup-simplify]: Simplify (* 4 1) into 4 0.685 * [backup-simplify]: Simplify (+ 4 0) into 4 0.686 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.686 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.691 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.691 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 0.692 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x) 0.692 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x) 0.692 * [backup-simplify]: Simplify (- (/ 0.25 x)) into (- (* 0.25 (/ 1 x))) 0.692 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 x)))) into (- (* 0.25 (/ 1 x))) 0.693 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 x))) (* 2 (sqrt 0.5))) into (/ -0.125 (* x (sqrt 0.5))) 0.693 * [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 0.693 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.693 * [taylor]: Taking taylor expansion of 0.5 in x 0.693 * [backup-simplify]: Simplify 0.5 into 0.5 0.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.693 * [taylor]: Taking taylor expansion of 0.5 in x 0.693 * [backup-simplify]: Simplify 0.5 into 0.5 0.693 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.694 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.694 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.694 * [taylor]: Taking taylor expansion of 4 in x 0.694 * [backup-simplify]: Simplify 4 into 4 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.694 * [taylor]: Taking taylor expansion of p in x 0.694 * [backup-simplify]: Simplify p into p 0.694 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.694 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.695 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (+ 0 1) into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (sqrt 1) into 1 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.700 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.701 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.702 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.710 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.712 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.712 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 0.712 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 0.713 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p) 0.713 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0 0.729 * [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 0.729 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [backup-simplify]: Simplify 0.5 into 0.5 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [backup-simplify]: Simplify 0.5 into 0.5 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.730 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.730 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.730 * [taylor]: Taking taylor expansion of 4 in x 0.730 * [backup-simplify]: Simplify 4 into 4 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.730 * [taylor]: Taking taylor expansion of p in x 0.730 * [backup-simplify]: Simplify p into p 0.730 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.730 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (+ 0 1) into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (sqrt 1) into 1 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.737 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.738 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.745 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.748 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.748 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 0.748 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 0.748 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p) 0.749 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0 0.756 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) p) in p 0.756 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.756 * [taylor]: Taking taylor expansion of 1.0 in p 0.756 * [backup-simplify]: Simplify 1.0 into 1.0 0.756 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.756 * [taylor]: Taking taylor expansion of p in p 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ (sqrt 1.0) 1) into (sqrt 1.0) 0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in p 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [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))) 0.764 * [backup-simplify]: Simplify (/ (- (* 16 (/ 1 (pow p 4))) (pow (/ -2 (pow p 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 6 (pow p 4)) 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [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))) 0.766 * [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))) 0.766 * [backup-simplify]: Simplify (- (* 3.0 (/ 1 (pow p 4)))) into (- (* 3.0 (/ 1 (pow p 4)))) 0.766 * [backup-simplify]: Simplify (+ 0 (- (* 3.0 (/ 1 (pow p 4))))) into (- (* 3.0 (/ 1 (pow p 4)))) 0.767 * [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))) 0.767 * [taylor]: Taking taylor expansion of (/ -1.5 (* (pow p 3) (sqrt 1.0))) in p 0.767 * [taylor]: Taking taylor expansion of -1.5 in p 0.767 * [backup-simplify]: Simplify -1.5 into -1.5 0.767 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 1.0)) in p 0.767 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.767 * [taylor]: Taking taylor expansion of p in p 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 0.767 * [taylor]: Taking taylor expansion of 1.0 in p 0.767 * [backup-simplify]: Simplify 1.0 into 1.0 0.767 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.769 * [backup-simplify]: Simplify (/ -1.5 (sqrt 1.0)) into (/ -1.5 (sqrt 1.0)) 0.770 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.778 * [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 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 0.780 * [backup-simplify]: Simplify (+ (* x x) (* p (* 4 p))) into (+ (pow x 2) (* 4 (pow p 2))) 0.780 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in (x p) around 0 0.780 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.780 * [taylor]: Taking taylor expansion of x in p 0.780 * [backup-simplify]: Simplify x into x 0.780 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.780 * [taylor]: Taking taylor expansion of 4 in p 0.780 * [backup-simplify]: Simplify 4 into 4 0.780 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.780 * [taylor]: Taking taylor expansion of p in p 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.780 * [taylor]: Taking taylor expansion of 4 in x 0.780 * [backup-simplify]: Simplify 4 into 4 0.780 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.780 * [taylor]: Taking taylor expansion of p in x 0.780 * [backup-simplify]: Simplify p into p 0.780 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.780 * [taylor]: Taking taylor expansion of 4 in x 0.780 * [backup-simplify]: Simplify 4 into 4 0.780 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.780 * [taylor]: Taking taylor expansion of p in x 0.780 * [backup-simplify]: Simplify p into p 0.781 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.781 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.781 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.781 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.781 * [taylor]: Taking taylor expansion of 4 in p 0.781 * [backup-simplify]: Simplify 4 into 4 0.781 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.781 * [taylor]: Taking taylor expansion of p in p 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.782 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in p 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.785 * [backup-simplify]: Simplify (+ 1 0) into 1 0.785 * [taylor]: Taking taylor expansion of 1 in p 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (* 4 1) into 4 0.786 * [backup-simplify]: Simplify 4 into 4 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [taylor]: Taking taylor expansion of 0 in p 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.790 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.792 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 p))))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2)))))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in p 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* 4 (pow (* p 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 0.795 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p)))) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 0.795 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0 0.795 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.795 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.795 * [taylor]: Taking taylor expansion of 4 in p 0.795 * [backup-simplify]: Simplify 4 into 4 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.795 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.795 * [taylor]: Taking taylor expansion of p in p 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.796 * [taylor]: Taking taylor expansion of x in p 0.796 * [backup-simplify]: Simplify x into x 0.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.796 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.796 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.796 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.796 * [taylor]: Taking taylor expansion of 4 in x 0.796 * [backup-simplify]: Simplify 4 into 4 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.796 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.797 * [taylor]: Taking taylor expansion of p in x 0.797 * [backup-simplify]: Simplify p into p 0.797 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.797 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.798 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.798 * [taylor]: Taking taylor expansion of 4 in x 0.798 * [backup-simplify]: Simplify 4 into 4 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.798 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.798 * [taylor]: Taking taylor expansion of p in x 0.798 * [backup-simplify]: Simplify p into p 0.798 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [backup-simplify]: Simplify (+ 0 1) into 1 0.799 * [taylor]: Taking taylor expansion of 1 in p 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [taylor]: Taking taylor expansion of 0 in p 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.803 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.803 * [taylor]: Taking taylor expansion of 4 in p 0.803 * [backup-simplify]: Simplify 4 into 4 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.803 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.804 * [taylor]: Taking taylor expansion of p in p 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [backup-simplify]: Simplify (* 4 1) into 4 0.805 * [backup-simplify]: Simplify 4 into 4 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [taylor]: Taking taylor expansion of 0 in p 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [taylor]: Taking taylor expansion of 0 in p 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4 (pow (* (/ 1 (/ 1 p)) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 0.818 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p))))) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 0.818 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0 0.818 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.818 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.818 * [taylor]: Taking taylor expansion of 4 in p 0.818 * [backup-simplify]: Simplify 4 into 4 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.819 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.819 * [taylor]: Taking taylor expansion of p in p 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.820 * [taylor]: Taking taylor expansion of x in p 0.820 * [backup-simplify]: Simplify x into x 0.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.820 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.820 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.820 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.820 * [taylor]: Taking taylor expansion of 4 in x 0.820 * [backup-simplify]: Simplify 4 into 4 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.820 * [taylor]: Taking taylor expansion of p in x 0.820 * [backup-simplify]: Simplify p into p 0.820 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.820 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.821 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.821 * [taylor]: Taking taylor expansion of 4 in x 0.821 * [backup-simplify]: Simplify 4 into 4 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.821 * [taylor]: Taking taylor expansion of p in x 0.821 * [backup-simplify]: Simplify p into p 0.821 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [backup-simplify]: Simplify (+ 0 1) into 1 0.823 * [taylor]: Taking taylor expansion of 1 in p 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [taylor]: Taking taylor expansion of 0 in p 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.827 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.827 * [taylor]: Taking taylor expansion of 4 in p 0.827 * [backup-simplify]: Simplify 4 into 4 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.827 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.827 * [taylor]: Taking taylor expansion of p in p 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [backup-simplify]: Simplify (* 4 1) into 4 0.828 * [backup-simplify]: Simplify 4 into 4 0.828 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [taylor]: Taking taylor expansion of 0 in p 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [taylor]: Taking taylor expansion of 0 in p 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4 (pow (* (/ 1 (/ 1 (- p))) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 0.843 * * * [progress]: simplifying candidates 0.843 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 0.843 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 0.843 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 0.843 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 0.843 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 0.843 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 0.844 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 0.844 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 0.844 * * [simplify]: iters left: 6 (10 enodes) 0.847 * * [simplify]: iters left: 5 (34 enodes) 0.856 * * [simplify]: iters left: 4 (37 enodes) 0.861 * * [simplify]: iters left: 3 (39 enodes) 0.867 * * [simplify]: Extracting #0: cost 1 inf + 0 0.867 * * [simplify]: Extracting #1: cost 4 inf + 0 0.867 * * [simplify]: Extracting #2: cost 7 inf + 0 0.867 * * [simplify]: Extracting #3: cost 10 inf + 0 0.867 * * [simplify]: Extracting #4: cost 17 inf + 0 0.867 * * [simplify]: Extracting #5: cost 16 inf + 3 0.867 * * [simplify]: Extracting #6: cost 9 inf + 373 0.868 * * [simplify]: Extracting #7: cost 4 inf + 1267 0.868 * * [simplify]: Extracting #8: cost 0 inf + 2359 0.868 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 0.868 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5))) 0.869 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 0.869 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 0.869 * * [simplify]: iters left: 6 (9 enodes) 0.871 * * [simplify]: iters left: 5 (30 enodes) 0.879 * * [simplify]: iters left: 4 (33 enodes) 0.889 * * [simplify]: iters left: 3 (35 enodes) 0.900 * * [simplify]: Extracting #0: cost 1 inf + 0 0.900 * * [simplify]: Extracting #1: cost 3 inf + 0 0.900 * * [simplify]: Extracting #2: cost 5 inf + 0 0.900 * * [simplify]: Extracting #3: cost 8 inf + 0 0.900 * * [simplify]: Extracting #4: cost 15 inf + 0 0.900 * * [simplify]: Extracting #5: cost 13 inf + 44 0.900 * * [simplify]: Extracting #6: cost 8 inf + 291 0.901 * * [simplify]: Extracting #7: cost 4 inf + 781 0.901 * * [simplify]: Extracting #8: cost 0 inf + 1633 0.902 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 0.902 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5))) 0.902 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 0.902 * [simplify]: Simplifying (sqrt 1) 0.902 * * [simplify]: iters left: 1 (2 enodes) 0.905 * * [simplify]: Extracting #0: cost 1 inf + 0 0.905 * * [simplify]: Extracting #1: cost 0 inf + 1 0.905 * [simplify]: Simplified to 1 0.905 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5))) 0.905 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 0.905 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 0.905 * * [simplify]: iters left: 6 (11 enodes) 0.909 * * [simplify]: iters left: 5 (54 enodes) 0.923 * * [simplify]: iters left: 4 (135 enodes) 0.974 * * [simplify]: iters left: 3 (325 enodes) 1.109 * * [simplify]: Extracting #0: cost 1 inf + 0 1.109 * * [simplify]: Extracting #1: cost 3 inf + 0 1.109 * * [simplify]: Extracting #2: cost 6 inf + 0 1.109 * * [simplify]: Extracting #3: cost 50 inf + 0 1.110 * * [simplify]: Extracting #4: cost 136 inf + 1171 1.112 * * [simplify]: Extracting #5: cost 93 inf + 8781 1.116 * * [simplify]: Extracting #6: cost 26 inf + 27825 1.121 * * [simplify]: Extracting #7: cost 5 inf + 35083 1.126 * * [simplify]: Extracting #8: cost 0 inf + 36927 1.131 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 1.131 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))))) 0.5))) 1.131 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 1.131 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 1.131 * * [simplify]: iters left: 6 (10 enodes) 1.140 * * [simplify]: iters left: 5 (48 enodes) 1.161 * * [simplify]: iters left: 4 (113 enodes) 1.195 * * [simplify]: iters left: 3 (257 enodes) 1.282 * * [simplify]: iters left: 2 (483 enodes) 1.497 * * [simplify]: Extracting #0: cost 1 inf + 0 1.497 * * [simplify]: Extracting #1: cost 3 inf + 0 1.497 * * [simplify]: Extracting #2: cost 32 inf + 0 1.497 * * [simplify]: Extracting #3: cost 118 inf + 0 1.498 * * [simplify]: Extracting #4: cost 142 inf + 2127 1.505 * * [simplify]: Extracting #5: cost 56 inf + 15017 1.512 * * [simplify]: Extracting #6: cost 2 inf + 27529 1.519 * * [simplify]: Extracting #7: cost 0 inf + 27895 1.526 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 1.526 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* 4 p))))))) 0.5))) 1.526 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 1.527 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 1.527 * * [simplify]: iters left: 6 (7 enodes) 1.529 * * [simplify]: iters left: 5 (24 enodes) 1.533 * * [simplify]: iters left: 4 (27 enodes) 1.542 * * [simplify]: iters left: 3 (29 enodes) 1.551 * * [simplify]: Extracting #0: cost 1 inf + 0 1.551 * * [simplify]: Extracting #1: cost 4 inf + 0 1.551 * * [simplify]: Extracting #2: cost 11 inf + 0 1.551 * * [simplify]: Extracting #3: cost 10 inf + 3 1.551 * * [simplify]: Extracting #4: cost 4 inf + 292 1.552 * * [simplify]: Extracting #5: cost 1 inf + 578 1.552 * * [simplify]: Extracting #6: cost 0 inf + 741 1.552 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 1.552 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) 0.5))) 1.552 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 1.553 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 1.553 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 1.553 * * [simplify]: iters left: 6 (8 enodes) 1.557 * * [simplify]: iters left: 5 (27 enodes) 1.565 * * [simplify]: iters left: 4 (30 enodes) 1.575 * * [simplify]: iters left: 3 (32 enodes) 1.585 * * [simplify]: Extracting #0: cost 1 inf + 0 1.585 * * [simplify]: Extracting #1: cost 3 inf + 0 1.585 * * [simplify]: Extracting #2: cost 6 inf + 0 1.585 * * [simplify]: Extracting #3: cost 13 inf + 0 1.585 * * [simplify]: Extracting #4: cost 10 inf + 126 1.585 * * [simplify]: Extracting #5: cost 5 inf + 374 1.585 * * [simplify]: Extracting #6: cost 1 inf + 944 1.586 * * [simplify]: Extracting #7: cost 0 inf + 1147 1.586 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 1.586 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p p))))))) 0.5))) 1.587 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 1.587 * * * * [progress]: [ 16 / 68 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))> 1.587 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 1.587 * [simplify]: Simplifying (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (exp 0.5)) 1.587 * * [simplify]: iters left: 6 (14 enodes) 1.595 * * [simplify]: iters left: 5 (53 enodes) 1.612 * * [simplify]: iters left: 4 (76 enodes) 1.639 * * [simplify]: iters left: 3 (114 enodes) 1.675 * * [simplify]: iters left: 2 (193 enodes) 1.721 * * [simplify]: iters left: 1 (369 enodes) 1.865 * * [simplify]: Extracting #0: cost 1 inf + 0 1.865 * * [simplify]: Extracting #1: cost 50 inf + 0 1.865 * * [simplify]: Extracting #2: cost 165 inf + 1 1.866 * * [simplify]: Extracting #3: cost 221 inf + 386 1.867 * * [simplify]: Extracting #4: cost 224 inf + 1219 1.871 * * [simplify]: Extracting #5: cost 220 inf + 1633 1.872 * * [simplify]: Extracting #6: cost 224 inf + 1674 1.873 * * [simplify]: Extracting #7: cost 221 inf + 1881 1.875 * * [simplify]: Extracting #8: cost 197 inf + 8518 1.881 * * [simplify]: Extracting #9: cost 119 inf + 40115 1.913 * * [simplify]: Extracting #10: cost 20 inf + 106192 1.934 * * [simplify]: Extracting #11: cost 1 inf + 118271 1.968 * * [simplify]: Extracting #12: cost 0 inf + 118957 2.012 * [simplify]: Simplified to (exp (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* p 4))))) 0.5)) 2.013 * [simplify]: Simplified (2 1 1) to (λ (p x) (sqrt (log (exp (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* p 4))))) 0.5))))) 2.013 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.013 * * * * [progress]: [ 27 / 68 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))> 2.013 * * * * [progress]: [ 28 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.014 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.014 * [simplify]: Simplifying (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)))) 2.014 * * [simplify]: iters left: 6 (15 enodes) 2.023 * * [simplify]: iters left: 5 (54 enodes) 2.034 * * [simplify]: iters left: 4 (66 enodes) 2.044 * * [simplify]: iters left: 3 (80 enodes) 2.058 * * [simplify]: iters left: 2 (92 enodes) 2.081 * * [simplify]: iters left: 1 (95 enodes) 2.094 * * [simplify]: Extracting #0: cost 1 inf + 0 2.094 * * [simplify]: Extracting #1: cost 4 inf + 0 2.094 * * [simplify]: Extracting #2: cost 7 inf + 0 2.094 * * [simplify]: Extracting #3: cost 11 inf + 0 2.094 * * [simplify]: Extracting #4: cost 20 inf + 1 2.094 * * [simplify]: Extracting #5: cost 24 inf + 45 2.094 * * [simplify]: Extracting #6: cost 26 inf + 87 2.094 * * [simplify]: Extracting #7: cost 31 inf + 128 2.094 * * [simplify]: Extracting #8: cost 30 inf + 171 2.094 * * [simplify]: Extracting #9: cost 28 inf + 254 2.095 * * [simplify]: Extracting #10: cost 24 inf + 582 2.095 * * [simplify]: Extracting #11: cost 19 inf + 1516 2.096 * * [simplify]: Extracting #12: cost 7 inf + 4801 2.097 * * [simplify]: Extracting #13: cost 0 inf + 7549 2.098 * [simplify]: Simplified to (fabs (cbrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 2.098 * [simplify]: Simplified (2 1) to (λ (p x) (* (fabs (cbrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (sqrt (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))) 2.098 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.099 * [simplify]: Simplifying (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 2.099 * * [simplify]: iters left: 6 (14 enodes) 2.102 * * [simplify]: iters left: 5 (50 enodes) 2.112 * * [simplify]: iters left: 4 (62 enodes) 2.122 * * [simplify]: iters left: 3 (76 enodes) 2.135 * * [simplify]: iters left: 2 (88 enodes) 2.148 * * [simplify]: iters left: 1 (91 enodes) 2.160 * * [simplify]: Extracting #0: cost 1 inf + 0 2.160 * * [simplify]: Extracting #1: cost 3 inf + 0 2.160 * * [simplify]: Extracting #2: cost 5 inf + 0 2.160 * * [simplify]: Extracting #3: cost 9 inf + 0 2.160 * * [simplify]: Extracting #4: cost 18 inf + 1 2.160 * * [simplify]: Extracting #5: cost 23 inf + 3 2.161 * * [simplify]: Extracting #6: cost 25 inf + 45 2.161 * * [simplify]: Extracting #7: cost 29 inf + 128 2.161 * * [simplify]: Extracting #8: cost 26 inf + 254 2.161 * * [simplify]: Extracting #9: cost 18 inf + 1313 2.162 * * [simplify]: Extracting #10: cost 2 inf + 5773 2.163 * * [simplify]: Extracting #11: cost 0 inf + 6501 2.165 * [simplify]: Simplified to (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 2.165 * [simplify]: Simplified (2 1) to (λ (p x) (* (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))) 2.165 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.165 * [simplify]: Simplifying (sqrt 1) 2.165 * * [simplify]: iters left: 1 (2 enodes) 2.167 * * [simplify]: Extracting #0: cost 1 inf + 0 2.167 * * [simplify]: Extracting #1: cost 0 inf + 1 2.167 * [simplify]: Simplified to 1 2.167 * [simplify]: Simplified (2 1) to (λ (p x) (* 1 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))) 2.167 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.167 * [simplify]: Simplifying (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 3) (pow 0.5 3))) 2.167 * * [simplify]: iters left: 6 (16 enodes) 2.173 * * [simplify]: iters left: 5 (71 enodes) 2.197 * * [simplify]: iters left: 4 (152 enodes) 2.270 * * [simplify]: iters left: 3 (448 enodes) 2.528 * * [simplify]: Extracting #0: cost 1 inf + 0 2.528 * * [simplify]: Extracting #1: cost 3 inf + 0 2.528 * * [simplify]: Extracting #2: cost 23 inf + 0 2.528 * * [simplify]: Extracting #3: cost 119 inf + 1 2.529 * * [simplify]: Extracting #4: cost 288 inf + 937 2.531 * * [simplify]: Extracting #5: cost 293 inf + 5681 2.533 * * [simplify]: Extracting #6: cost 263 inf + 11421 2.543 * * [simplify]: Extracting #7: cost 182 inf + 39532 2.571 * * [simplify]: Extracting #8: cost 12 inf + 119754 2.602 * * [simplify]: Extracting #9: cost 0 inf + 125043 2.633 * * [simplify]: Extracting #10: cost 0 inf + 124832 2.660 * [simplify]: Simplified to (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) 2.660 * [simplify]: Simplified (2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 2.660 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.660 * [simplify]: Simplifying (sqrt (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (* 0.5 0.5))) 2.660 * * [simplify]: iters left: 6 (15 enodes) 2.665 * * [simplify]: iters left: 5 (63 enodes) 2.679 * * [simplify]: iters left: 4 (123 enodes) 2.705 * * [simplify]: iters left: 3 (225 enodes) 2.766 * * [simplify]: iters left: 2 (426 enodes) 2.939 * * [simplify]: Extracting #0: cost 1 inf + 0 2.940 * * [simplify]: Extracting #1: cost 3 inf + 0 2.940 * * [simplify]: Extracting #2: cost 41 inf + 0 2.940 * * [simplify]: Extracting #3: cost 143 inf + 123 2.941 * * [simplify]: Extracting #4: cost 179 inf + 737 2.942 * * [simplify]: Extracting #5: cost 173 inf + 1721 2.943 * * [simplify]: Extracting #6: cost 170 inf + 1888 2.946 * * [simplify]: Extracting #7: cost 129 inf + 12915 2.961 * * [simplify]: Extracting #8: cost 23 inf + 48971 2.980 * * [simplify]: Extracting #9: cost 0 inf + 57463 3.012 * [simplify]: Simplified to (sqrt (* (- (* (/ (* x x) (+ (* x x) (* p (* p 4)))) 0.5) 0.5) 0.5)) 3.012 * [simplify]: Simplified (2 1) to (λ (p x) (/ (sqrt (* (- (* (/ (* x x) (+ (* x x) (* p (* p 4)))) 0.5) 0.5) 0.5)) (sqrt (- (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))) 3.013 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.013 * [simplify]: Simplifying (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) 3.013 * * [simplify]: iters left: 6 (12 enodes) 3.020 * * [simplify]: iters left: 5 (43 enodes) 3.033 * * [simplify]: iters left: 4 (55 enodes) 3.042 * * [simplify]: iters left: 3 (69 enodes) 3.054 * * [simplify]: iters left: 2 (81 enodes) 3.068 * * [simplify]: iters left: 1 (84 enodes) 3.091 * * [simplify]: Extracting #0: cost 1 inf + 0 3.091 * * [simplify]: Extracting #1: cost 5 inf + 0 3.091 * * [simplify]: Extracting #2: cost 14 inf + 1 3.091 * * [simplify]: Extracting #3: cost 19 inf + 3 3.091 * * [simplify]: Extracting #4: cost 21 inf + 45 3.092 * * [simplify]: Extracting #5: cost 25 inf + 128 3.092 * * [simplify]: Extracting #6: cost 22 inf + 254 3.092 * * [simplify]: Extracting #7: cost 13 inf + 1516 3.093 * * [simplify]: Extracting #8: cost 1 inf + 4641 3.094 * * [simplify]: Extracting #9: cost 0 inf + 4965 3.094 * [simplify]: Simplified to (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))))) 3.095 * [simplify]: Simplified (2 1) to (λ (p x) (pow (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))))) (/ 1 2))) 3.095 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.095 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.095 * [simplify]: Simplifying (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 3.095 * * [simplify]: iters left: 6 (13 enodes) 3.099 * * [simplify]: iters left: 5 (47 enodes) 3.106 * * [simplify]: iters left: 4 (59 enodes) 3.116 * * [simplify]: iters left: 3 (73 enodes) 3.128 * * [simplify]: iters left: 2 (85 enodes) 3.141 * * [simplify]: iters left: 1 (88 enodes) 3.157 * * [simplify]: Extracting #0: cost 1 inf + 0 3.157 * * [simplify]: Extracting #1: cost 3 inf + 0 3.157 * * [simplify]: Extracting #2: cost 7 inf + 0 3.157 * * [simplify]: Extracting #3: cost 16 inf + 1 3.157 * * [simplify]: Extracting #4: cost 20 inf + 45 3.157 * * [simplify]: Extracting #5: cost 22 inf + 87 3.157 * * [simplify]: Extracting #6: cost 27 inf + 128 3.157 * * [simplify]: Extracting #7: cost 24 inf + 254 3.157 * * [simplify]: Extracting #8: cost 16 inf + 1273 3.158 * * [simplify]: Extracting #9: cost 1 inf + 5329 3.159 * * [simplify]: Extracting #10: cost 0 inf + 5693 3.160 * [simplify]: Simplified to (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))) 3.160 * [simplify]: Simplified (2 1) to (λ (p x) (fabs (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))))) 3.160 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.160 * * * * [progress]: [ 44 / 68 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))> 3.161 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.161 * [simplify]: Simplifying (* (exp (* x x)) (exp (* p (* 4 p)))) 3.161 * * [simplify]: iters left: 6 (9 enodes) 3.164 * * [simplify]: iters left: 5 (36 enodes) 3.171 * * [simplify]: iters left: 4 (56 enodes) 3.182 * * [simplify]: iters left: 3 (103 enodes) 3.203 * * [simplify]: iters left: 2 (226 enodes) 3.285 * * [simplify]: Extracting #0: cost 1 inf + 0 3.286 * * [simplify]: Extracting #1: cost 40 inf + 0 3.286 * * [simplify]: Extracting #2: cost 156 inf + 0 3.287 * * [simplify]: Extracting #3: cost 185 inf + 972 3.288 * * [simplify]: Extracting #4: cost 148 inf + 6766 3.292 * * [simplify]: Extracting #5: cost 65 inf + 42030 3.301 * * [simplify]: Extracting #6: cost 4 inf + 84702 3.312 * * [simplify]: Extracting #7: cost 0 inf + 88030 3.324 * [simplify]: Simplified to (exp (+ (* x x) (* p (* p 4)))) 3.324 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (log (exp (+ (* x x) (* p (* p 4)))))))) 0.5))) 3.324 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.324 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.324 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.324 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.324 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.324 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.324 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.325 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.325 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.325 * * * * [progress]: [ 55 / 68 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* p (* 4 p)))))))) 0.5)))> 3.325 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.325 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.325 * [simplify]: Simplifying (* 2 p) 3.325 * * [simplify]: iters left: 2 (3 enodes) 3.327 * * [simplify]: iters left: 1 (10 enodes) 3.331 * * [simplify]: Extracting #0: cost 1 inf + 0 3.331 * * [simplify]: Extracting #1: cost 4 inf + 0 3.331 * * [simplify]: Extracting #2: cost 2 inf + 2 3.331 * * [simplify]: Extracting #3: cost 0 inf + 86 3.331 * [simplify]: Simplified to (* 2 p) 3.331 * [simplify]: Simplified (2 1 1 2 2) to (λ (p x) (sqrt (+ (* 0.5 (/ x (* 2 p))) 0.5))) 3.331 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.331 * [simplify]: Simplifying x 3.332 * * [simplify]: iters left: 0 (1 enodes) 3.332 * * [simplify]: Extracting #0: cost 1 inf + 0 3.332 * * [simplify]: Extracting #1: cost 0 inf + 1 3.332 * [simplify]: Simplified to x 3.332 * [simplify]: Simplified (2 1 1 2 2) to (λ (p x) (sqrt (+ (* 0.5 (/ x x)) 0.5))) 3.332 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.332 * [simplify]: Simplifying (* -1 x) 3.333 * * [simplify]: iters left: 2 (3 enodes) 3.335 * * [simplify]: iters left: 1 (11 enodes) 3.338 * * [simplify]: Extracting #0: cost 1 inf + 0 3.338 * * [simplify]: Extracting #1: cost 4 inf + 0 3.338 * * [simplify]: Extracting #2: cost 0 inf + 84 3.338 * [simplify]: Simplified to (- x) 3.338 * [simplify]: Simplified (2 1 1 2 2) to (λ (p x) (sqrt (+ (* 0.5 (/ x (- x))) 0.5))) 3.338 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.338 * [simplify]: Simplifying 0.5 3.339 * * [simplify]: iters left: 0 (1 enodes) 3.339 * * [simplify]: Extracting #0: cost 1 inf + 0 3.339 * * [simplify]: Extracting #1: cost 0 inf + 1 3.340 * [simplify]: Simplified to 0.5 3.340 * [simplify]: Simplified (2 1) to (λ (p x) (sqrt 0.5)) 3.340 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.340 * [simplify]: Simplifying 1.0 3.340 * * [simplify]: iters left: 0 (1 enodes) 3.341 * * [simplify]: Extracting #0: cost 1 inf + 0 3.341 * * [simplify]: Extracting #1: cost 0 inf + 1 3.341 * [simplify]: Simplified to 1.0 3.341 * [simplify]: Simplified (2 1) to (λ (p x) (sqrt 1.0)) 3.341 * * * * [progress]: [ 62 / 68 ] simplifiying candidate # 3.341 * [simplify]: Simplifying 0 3.341 * * [simplify]: iters left: 0 (1 enodes) 3.342 * * [simplify]: Extracting #0: cost 1 inf + 0 3.342 * * [simplify]: Extracting #1: cost 0 inf + 1 3.342 * [simplify]: Simplified to 0 3.342 * [simplify]: Simplified (2 1) to (λ (p x) (sqrt 0)) 3.342 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.343 * [simplify]: Simplifying (sqrt 0.5) 3.343 * * [simplify]: iters left: 1 (2 enodes) 3.344 * * [simplify]: Extracting #0: cost 1 inf + 0 3.344 * * [simplify]: Extracting #1: cost 3 inf + 0 3.344 * * [simplify]: Extracting #2: cost 2 inf + 1 3.344 * * [simplify]: Extracting #3: cost 0 inf + 83 3.344 * [simplify]: Simplified to (sqrt 0.5) 3.345 * [simplify]: Simplified (2) to (λ (p x) (sqrt 0.5)) 3.345 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.345 * [simplify]: Simplifying (sqrt 1.0) 3.345 * * [simplify]: iters left: 1 (2 enodes) 3.347 * * [simplify]: Extracting #0: cost 1 inf + 0 3.347 * * [simplify]: Extracting #1: cost 3 inf + 0 3.347 * * [simplify]: Extracting #2: cost 2 inf + 1 3.347 * * [simplify]: Extracting #3: cost 0 inf + 83 3.347 * [simplify]: Simplified to (sqrt 1.0) 3.347 * [simplify]: Simplified (2) to (λ (p x) (sqrt 1.0)) 3.347 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.347 * [simplify]: Simplifying 0 3.347 * * [simplify]: iters left: 0 (1 enodes) 3.348 * * [simplify]: Extracting #0: cost 1 inf + 0 3.348 * * [simplify]: Extracting #1: cost 0 inf + 1 3.348 * [simplify]: Simplified to 0 3.348 * [simplify]: Simplified (2) to (λ (p x) 0) 3.348 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.349 * [simplify]: Simplifying (+ (pow x 2) (* 4 (pow p 2))) 3.349 * * [simplify]: iters left: 5 (8 enodes) 3.353 * * [simplify]: iters left: 4 (34 enodes) 3.364 * * [simplify]: iters left: 3 (42 enodes) 3.377 * * [simplify]: iters left: 2 (49 enodes) 3.386 * * [simplify]: Extracting #0: cost 1 inf + 0 3.386 * * [simplify]: Extracting #1: cost 4 inf + 0 3.386 * * [simplify]: Extracting #2: cost 12 inf + 0 3.386 * * [simplify]: Extracting #3: cost 8 inf + 87 3.386 * * [simplify]: Extracting #4: cost 2 inf + 538 3.386 * * [simplify]: Extracting #5: cost 0 inf + 742 3.386 * [simplify]: Simplified to (+ (* x x) (* 4 (* p p))) 3.386 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) 0.5))) 3.387 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.387 * [simplify]: Simplifying (+ (pow x 2) (* 4 (pow p 2))) 3.387 * * [simplify]: iters left: 5 (8 enodes) 3.390 * * [simplify]: iters left: 4 (34 enodes) 3.395 * * [simplify]: iters left: 3 (42 enodes) 3.402 * * [simplify]: iters left: 2 (49 enodes) 3.413 * * [simplify]: Extracting #0: cost 1 inf + 0 3.413 * * [simplify]: Extracting #1: cost 4 inf + 0 3.413 * * [simplify]: Extracting #2: cost 12 inf + 0 3.413 * * [simplify]: Extracting #3: cost 8 inf + 87 3.414 * * [simplify]: Extracting #4: cost 2 inf + 538 3.414 * * [simplify]: Extracting #5: cost 0 inf + 742 3.414 * [simplify]: Simplified to (+ (* x x) (* 4 (* p p))) 3.414 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) 0.5))) 3.415 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.415 * [simplify]: Simplifying (+ (pow x 2) (* 4 (pow p 2))) 3.415 * * [simplify]: iters left: 5 (8 enodes) 3.421 * * [simplify]: iters left: 4 (34 enodes) 3.431 * * [simplify]: iters left: 3 (42 enodes) 3.444 * * [simplify]: iters left: 2 (49 enodes) 3.455 * * [simplify]: Extracting #0: cost 1 inf + 0 3.455 * * [simplify]: Extracting #1: cost 4 inf + 0 3.456 * * [simplify]: Extracting #2: cost 12 inf + 0 3.456 * * [simplify]: Extracting #3: cost 8 inf + 87 3.456 * * [simplify]: Extracting #4: cost 2 inf + 538 3.456 * * [simplify]: Extracting #5: cost 0 inf + 742 3.456 * [simplify]: Simplified to (+ (* x x) (* 4 (* p p))) 3.456 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) 0.5))) 3.456 * * * [progress]: adding candidates to table 4.129 * * [progress]: iteration 2 / 4 4.129 * * * [progress]: picking best candidate 4.177 * * * * [pick]: Picked # 4.177 * * * [progress]: localizing error 4.219 * * * [progress]: generating rewritten candidates 4.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2) 4.231 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.253 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.305 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.333 * * * [progress]: generating series expansions 4.334 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2) 4.334 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 4.334 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 4.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 4.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 4.334 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.334 * [taylor]: Taking taylor expansion of x in p 4.334 * [backup-simplify]: Simplify x into x 4.334 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 4.334 * [taylor]: Taking taylor expansion of 4 in p 4.334 * [backup-simplify]: Simplify 4 into 4 4.334 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.334 * [taylor]: Taking taylor expansion of p in p 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.334 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.335 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.335 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.336 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 4.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.336 * [taylor]: Taking taylor expansion of x in x 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.336 * [taylor]: Taking taylor expansion of 4 in x 4.336 * [backup-simplify]: Simplify 4 into 4 4.336 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.336 * [taylor]: Taking taylor expansion of p in x 4.336 * [backup-simplify]: Simplify p into p 4.336 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.336 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.336 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.336 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 4.337 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.337 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 4.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 4.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.338 * [taylor]: Taking taylor expansion of 4 in x 4.338 * [backup-simplify]: Simplify 4 into 4 4.338 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.338 * [taylor]: Taking taylor expansion of p in x 4.338 * [backup-simplify]: Simplify p into p 4.338 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.339 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.339 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.339 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 4.339 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.339 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 4.340 * [taylor]: Taking taylor expansion of (* 2 p) in p 4.340 * [taylor]: Taking taylor expansion of 2 in p 4.340 * [backup-simplify]: Simplify 2 into 2 4.340 * [taylor]: Taking taylor expansion of p in p 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (* 2 0) into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [taylor]: Taking taylor expansion of 0 in p 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.341 * [backup-simplify]: Simplify 2 into 2 4.341 * [backup-simplify]: Simplify (* 1 1) into 1 4.342 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 4.343 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 4.343 * [backup-simplify]: Simplify (+ 1 0) into 1 4.343 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 4.343 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 4.343 * [taylor]: Taking taylor expansion of 1/4 in p 4.343 * [backup-simplify]: Simplify 1/4 into 1/4 4.343 * [taylor]: Taking taylor expansion of p in p 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 4.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.346 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 4.347 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 4.347 * [backup-simplify]: Simplify (+ 0 0) into 0 4.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 4.347 * [taylor]: Taking taylor expansion of 0 in p 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 4.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 4.348 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 4.348 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.348 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.348 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.348 * [taylor]: Taking taylor expansion of 4 in p 4.348 * [backup-simplify]: Simplify 4 into 4 4.348 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.348 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.348 * [taylor]: Taking taylor expansion of p in p 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (* 1 1) into 1 4.349 * [backup-simplify]: Simplify (/ 1 1) into 1 4.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.349 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.349 * [taylor]: Taking taylor expansion of x in p 4.349 * [backup-simplify]: Simplify x into x 4.349 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.349 * [backup-simplify]: Simplify (* 4 1) into 4 4.349 * [backup-simplify]: Simplify (+ 4 0) into 4 4.350 * [backup-simplify]: Simplify (sqrt 4) into 2 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.351 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 4.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.352 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.352 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.352 * [taylor]: Taking taylor expansion of 4 in x 4.352 * [backup-simplify]: Simplify 4 into 4 4.352 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.352 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.352 * [taylor]: Taking taylor expansion of p in x 4.352 * [backup-simplify]: Simplify p into p 4.352 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.352 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.352 * [taylor]: Taking taylor expansion of x in x 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (* 1 1) into 1 4.353 * [backup-simplify]: Simplify (/ 1 1) into 1 4.353 * [backup-simplify]: Simplify (+ 0 1) into 1 4.353 * [backup-simplify]: Simplify (sqrt 1) into 1 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (+ 0 0) into 0 4.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.355 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.355 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.355 * [taylor]: Taking taylor expansion of 4 in x 4.355 * [backup-simplify]: Simplify 4 into 4 4.355 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.355 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.355 * [taylor]: Taking taylor expansion of p in x 4.355 * [backup-simplify]: Simplify p into p 4.355 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.355 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (* 1 1) into 1 4.355 * [backup-simplify]: Simplify (/ 1 1) into 1 4.356 * [backup-simplify]: Simplify (+ 0 1) into 1 4.356 * [backup-simplify]: Simplify (sqrt 1) into 1 4.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.358 * [taylor]: Taking taylor expansion of 1 in p 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of 0 in p 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.360 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 4.360 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 4.360 * [taylor]: Taking taylor expansion of 2 in p 4.360 * [backup-simplify]: Simplify 2 into 2 4.360 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.360 * [taylor]: Taking taylor expansion of p in p 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (* 1 1) into 1 4.360 * [backup-simplify]: Simplify (/ 2 1) into 2 4.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.362 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (+ 0 0) into 0 4.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 4.364 * [taylor]: Taking taylor expansion of 0 in p 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.365 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 4.365 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 4.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.365 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.365 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.365 * [taylor]: Taking taylor expansion of 4 in p 4.365 * [backup-simplify]: Simplify 4 into 4 4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.365 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.365 * [taylor]: Taking taylor expansion of p in p 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.366 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.366 * [taylor]: Taking taylor expansion of x in p 4.366 * [backup-simplify]: Simplify x into x 4.366 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.366 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.366 * [backup-simplify]: Simplify (* 4 1) into 4 4.367 * [backup-simplify]: Simplify (+ 4 0) into 4 4.367 * [backup-simplify]: Simplify (sqrt 4) into 2 4.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 4.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.369 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.369 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.369 * [taylor]: Taking taylor expansion of 4 in x 4.369 * [backup-simplify]: Simplify 4 into 4 4.369 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.369 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.369 * [taylor]: Taking taylor expansion of p in x 4.369 * [backup-simplify]: Simplify p into p 4.369 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.369 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (* 1 1) into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [backup-simplify]: Simplify (+ 0 1) into 1 4.370 * [backup-simplify]: Simplify (sqrt 1) into 1 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.372 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.372 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.372 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.372 * [taylor]: Taking taylor expansion of 4 in x 4.372 * [backup-simplify]: Simplify 4 into 4 4.372 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.372 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.372 * [taylor]: Taking taylor expansion of p in x 4.372 * [backup-simplify]: Simplify p into p 4.372 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.372 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.372 * [backup-simplify]: Simplify (* 1 1) into 1 4.373 * [backup-simplify]: Simplify (/ 1 1) into 1 4.373 * [backup-simplify]: Simplify (+ 0 1) into 1 4.373 * [backup-simplify]: Simplify (sqrt 1) into 1 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify (+ 0 0) into 0 4.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.375 * [taylor]: Taking taylor expansion of 1 in p 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [taylor]: Taking taylor expansion of 0 in p 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.377 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 4.377 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 4.377 * [taylor]: Taking taylor expansion of 2 in p 4.377 * [backup-simplify]: Simplify 2 into 2 4.377 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.377 * [taylor]: Taking taylor expansion of p in p 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (* 1 1) into 1 4.377 * [backup-simplify]: Simplify (/ 2 1) into 2 4.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.379 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 4.381 * [taylor]: Taking taylor expansion of 0 in p 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 4.382 * [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)))))))) 4.382 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 4.382 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 4.382 * [taylor]: Taking taylor expansion of 0.5 in p 4.382 * [backup-simplify]: Simplify 0.5 into 0.5 4.382 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 4.382 * [taylor]: Taking taylor expansion of 0.5 in p 4.382 * [backup-simplify]: Simplify 0.5 into 0.5 4.383 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 4.383 * [taylor]: Taking taylor expansion of x in p 4.383 * [backup-simplify]: Simplify x into x 4.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 4.383 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 4.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 4.383 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.383 * [taylor]: Taking taylor expansion of x in p 4.383 * [backup-simplify]: Simplify x into x 4.383 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 4.383 * [taylor]: Taking taylor expansion of 4 in p 4.383 * [backup-simplify]: Simplify 4 into 4 4.383 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.383 * [taylor]: Taking taylor expansion of p in p 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.383 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.383 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.383 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 4.383 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.383 * [backup-simplify]: Simplify (+ 0 0) into 0 4.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 4.383 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 4.383 * [taylor]: Taking taylor expansion of 0.5 in x 4.384 * [backup-simplify]: Simplify 0.5 into 0.5 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 4.384 * [taylor]: Taking taylor expansion of 0.5 in x 4.384 * [backup-simplify]: Simplify 0.5 into 0.5 4.384 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 4.384 * [taylor]: Taking taylor expansion of x in x 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 4.384 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 4.384 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.384 * [taylor]: Taking taylor expansion of x in x 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.384 * [taylor]: Taking taylor expansion of 4 in x 4.384 * [backup-simplify]: Simplify 4 into 4 4.384 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.384 * [taylor]: Taking taylor expansion of p in x 4.384 * [backup-simplify]: Simplify p into p 4.384 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.384 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.384 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.384 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 4.384 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 4.384 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.385 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 4.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 4.385 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 4.385 * [taylor]: Taking taylor expansion of 0.5 in x 4.385 * [backup-simplify]: Simplify 0.5 into 0.5 4.385 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 4.385 * [taylor]: Taking taylor expansion of 0.5 in x 4.385 * [backup-simplify]: Simplify 0.5 into 0.5 4.385 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 4.385 * [taylor]: Taking taylor expansion of x in x 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 4.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 4.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.385 * [taylor]: Taking taylor expansion of x in x 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.385 * [taylor]: Taking taylor expansion of 4 in x 4.385 * [backup-simplify]: Simplify 4 into 4 4.385 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.385 * [taylor]: Taking taylor expansion of p in x 4.385 * [backup-simplify]: Simplify p into p 4.385 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.385 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.386 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.386 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 4.386 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 4.386 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.386 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.386 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 4.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 4.387 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 4.387 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.387 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.387 * [taylor]: Taking taylor expansion of 0.5 in p 4.387 * [backup-simplify]: Simplify 0.5 into 0.5 4.387 * [backup-simplify]: Simplify 0.5 into 0.5 4.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 4.388 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 4.388 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 4.388 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 4.388 * [taylor]: Taking taylor expansion of 0.25 in p 4.388 * [backup-simplify]: Simplify 0.25 into 0.25 4.388 * [taylor]: Taking taylor expansion of (/ 1 p) in p 4.388 * [taylor]: Taking taylor expansion of p in p 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (* 1 1) into 1 4.390 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 4.391 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 4.391 * [backup-simplify]: Simplify (+ 1 0) into 1 4.391 * [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)))) 4.392 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 4.393 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 4.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 4.394 * [backup-simplify]: Simplify (+ 0 0) into 0 4.394 * [taylor]: Taking taylor expansion of 0 in p 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.396 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 4.397 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [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 4.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 4.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 4.403 * [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)))) 4.403 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 4.403 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 4.403 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 4.403 * [taylor]: Taking taylor expansion of 0.03125 in p 4.403 * [backup-simplify]: Simplify 0.03125 into 0.03125 4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 4.403 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.403 * [taylor]: Taking taylor expansion of p in p 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.404 * [backup-simplify]: Simplify (* 1 1) into 1 4.404 * [backup-simplify]: Simplify (* 1 1) into 1 4.404 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (- 0) into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 0.5 into 0.5 4.411 * [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) 4.411 * [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 4.411 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 4.411 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 4.411 * [taylor]: Taking taylor expansion of 0.5 in p 4.411 * [backup-simplify]: Simplify 0.5 into 0.5 4.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 4.412 * [taylor]: Taking taylor expansion of (/ 1 x) in p 4.412 * [taylor]: Taking taylor expansion of x in p 4.412 * [backup-simplify]: Simplify x into x 4.412 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 4.412 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.412 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.412 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.412 * [taylor]: Taking taylor expansion of 4 in p 4.412 * [backup-simplify]: Simplify 4 into 4 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.412 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.412 * [taylor]: Taking taylor expansion of p in p 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (* 1 1) into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.412 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.412 * [taylor]: Taking taylor expansion of x in p 4.412 * [backup-simplify]: Simplify x into x 4.412 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.412 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.413 * [backup-simplify]: Simplify (* 4 1) into 4 4.413 * [backup-simplify]: Simplify (+ 4 0) into 4 4.413 * [backup-simplify]: Simplify (/ 1 4) into 1/4 4.414 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 4.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.415 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 4.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 4.416 * [taylor]: Taking taylor expansion of 0.5 in p 4.416 * [backup-simplify]: Simplify 0.5 into 0.5 4.416 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 4.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.416 * [taylor]: Taking taylor expansion of 0.5 in x 4.416 * [backup-simplify]: Simplify 0.5 into 0.5 4.416 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.416 * [taylor]: Taking taylor expansion of x in x 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (/ 1 1) into 1 4.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.417 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.417 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.417 * [taylor]: Taking taylor expansion of 4 in x 4.417 * [backup-simplify]: Simplify 4 into 4 4.417 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.417 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.417 * [taylor]: Taking taylor expansion of p in x 4.417 * [backup-simplify]: Simplify p into p 4.417 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.417 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.417 * [taylor]: Taking taylor expansion of x in x 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (* 1 1) into 1 4.418 * [backup-simplify]: Simplify (/ 1 1) into 1 4.418 * [backup-simplify]: Simplify (+ 0 1) into 1 4.418 * [backup-simplify]: Simplify (/ 1 1) into 1 4.418 * [backup-simplify]: Simplify (sqrt 1) into 1 4.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.420 * [taylor]: Taking taylor expansion of 0.5 in x 4.420 * [backup-simplify]: Simplify 0.5 into 0.5 4.420 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 4.420 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.420 * [taylor]: Taking taylor expansion of 0.5 in x 4.420 * [backup-simplify]: Simplify 0.5 into 0.5 4.420 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.420 * [taylor]: Taking taylor expansion of x in x 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.421 * [backup-simplify]: Simplify (/ 1 1) into 1 4.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.421 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.421 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.421 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.421 * [taylor]: Taking taylor expansion of 4 in x 4.421 * [backup-simplify]: Simplify 4 into 4 4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.421 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.421 * [taylor]: Taking taylor expansion of p in x 4.421 * [backup-simplify]: Simplify p into p 4.421 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.421 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.421 * [taylor]: Taking taylor expansion of x in x 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [backup-simplify]: Simplify (* 1 1) into 1 4.422 * [backup-simplify]: Simplify (/ 1 1) into 1 4.422 * [backup-simplify]: Simplify (+ 0 1) into 1 4.422 * [backup-simplify]: Simplify (/ 1 1) into 1 4.423 * [backup-simplify]: Simplify (sqrt 1) into 1 4.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.424 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.425 * [taylor]: Taking taylor expansion of 0.5 in x 4.425 * [backup-simplify]: Simplify 0.5 into 0.5 4.425 * [backup-simplify]: Simplify (* 1 1) into 1 4.425 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.426 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.426 * [taylor]: Taking taylor expansion of 1.0 in p 4.426 * [backup-simplify]: Simplify 1.0 into 1.0 4.426 * [backup-simplify]: Simplify 1.0 into 1.0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [taylor]: Taking taylor expansion of 0 in p 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.430 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.431 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.431 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.431 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 4.432 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 4.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 4.432 * [taylor]: Taking taylor expansion of 1.0 in p 4.432 * [backup-simplify]: Simplify 1.0 into 1.0 4.432 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.432 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.432 * [taylor]: Taking taylor expansion of p in p 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (* 1 1) into 1 4.432 * [backup-simplify]: Simplify (/ 1 1) into 1 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.435 * [backup-simplify]: Simplify (- 0) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.436 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.440 * [backup-simplify]: Simplify (+ 0 0) into 0 4.440 * [taylor]: Taking taylor expansion of 0 in p 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1.0 into 1.0 4.441 * [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)))))))) 4.441 * [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 4.441 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 4.441 * [taylor]: Taking taylor expansion of 0.5 in p 4.441 * [backup-simplify]: Simplify 0.5 into 0.5 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 4.441 * [taylor]: Taking taylor expansion of 0.5 in p 4.441 * [backup-simplify]: Simplify 0.5 into 0.5 4.441 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 4.441 * [taylor]: Taking taylor expansion of (/ 1 x) in p 4.441 * [taylor]: Taking taylor expansion of x in p 4.441 * [backup-simplify]: Simplify x into x 4.441 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 4.441 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.441 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.441 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.441 * [taylor]: Taking taylor expansion of 4 in p 4.441 * [backup-simplify]: Simplify 4 into 4 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.441 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.441 * [taylor]: Taking taylor expansion of p in p 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.442 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.442 * [taylor]: Taking taylor expansion of x in p 4.442 * [backup-simplify]: Simplify x into x 4.442 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.442 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.442 * [backup-simplify]: Simplify (* 4 1) into 4 4.442 * [backup-simplify]: Simplify (+ 4 0) into 4 4.443 * [backup-simplify]: Simplify (/ 1 4) into 1/4 4.443 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 4.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.444 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.445 * [backup-simplify]: Simplify (+ 0 0) into 0 4.445 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 4.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 4.446 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 4.446 * [taylor]: Taking taylor expansion of 0.5 in x 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.446 * [taylor]: Taking taylor expansion of 0.5 in x 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.446 * [taylor]: Taking taylor expansion of x in x 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (/ 1 1) into 1 4.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.446 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.446 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.446 * [taylor]: Taking taylor expansion of 4 in x 4.446 * [backup-simplify]: Simplify 4 into 4 4.446 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.446 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.446 * [taylor]: Taking taylor expansion of p in x 4.446 * [backup-simplify]: Simplify p into p 4.446 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.446 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.446 * [taylor]: Taking taylor expansion of x in x 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (* 1 1) into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.447 * [backup-simplify]: Simplify (+ 0 1) into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.448 * [backup-simplify]: Simplify (sqrt 1) into 1 4.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.449 * [backup-simplify]: Simplify (+ 0 0) into 0 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.450 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 4.450 * [taylor]: Taking taylor expansion of 0.5 in x 4.450 * [backup-simplify]: Simplify 0.5 into 0.5 4.450 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.450 * [taylor]: Taking taylor expansion of 0.5 in x 4.450 * [backup-simplify]: Simplify 0.5 into 0.5 4.450 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.450 * [taylor]: Taking taylor expansion of x in x 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (/ 1 1) into 1 4.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.451 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.451 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.451 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.451 * [taylor]: Taking taylor expansion of 4 in x 4.451 * [backup-simplify]: Simplify 4 into 4 4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.451 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.451 * [taylor]: Taking taylor expansion of p in x 4.451 * [backup-simplify]: Simplify p into p 4.451 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.451 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.451 * [taylor]: Taking taylor expansion of x in x 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (* 1 1) into 1 4.451 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [backup-simplify]: Simplify (+ 0 1) into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [backup-simplify]: Simplify (sqrt 1) into 1 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.454 * [backup-simplify]: Simplify (* 1 1) into 1 4.455 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.455 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.455 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 4.456 * [taylor]: Taking taylor expansion of 0 in p 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.457 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.457 * [backup-simplify]: Simplify (- 0) into 0 4.457 * [backup-simplify]: Simplify (+ 0 0) into 0 4.457 * [taylor]: Taking taylor expansion of 0 in p 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.460 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.462 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.462 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 4.462 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 4.462 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 4.462 * [taylor]: Taking taylor expansion of 1.0 in p 4.462 * [backup-simplify]: Simplify 1.0 into 1.0 4.462 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.462 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.462 * [taylor]: Taking taylor expansion of p in p 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (* 1 1) into 1 4.462 * [backup-simplify]: Simplify (/ 1 1) into 1 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.465 * [backup-simplify]: Simplify (log (exp (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))))))))) 4.465 * [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 4.465 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in p 4.465 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 4.465 * [taylor]: Taking taylor expansion of 0.5 in p 4.465 * [backup-simplify]: Simplify 0.5 into 0.5 4.465 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 4.466 * [taylor]: Taking taylor expansion of 0.5 in p 4.466 * [backup-simplify]: Simplify 0.5 into 0.5 4.466 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 4.466 * [taylor]: Taking taylor expansion of x in p 4.466 * [backup-simplify]: Simplify x into x 4.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 4.466 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 4.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 4.466 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.466 * [taylor]: Taking taylor expansion of x in p 4.466 * [backup-simplify]: Simplify x into x 4.466 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 4.466 * [taylor]: Taking taylor expansion of 4 in p 4.466 * [backup-simplify]: Simplify 4 into 4 4.466 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.466 * [taylor]: Taking taylor expansion of p in p 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify 1 into 1 4.466 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.466 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.466 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.466 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 4.466 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.466 * [backup-simplify]: Simplify (+ 0 0) into 0 4.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 4.467 * [backup-simplify]: Simplify (* x (/ 1 x)) into 1 4.467 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.467 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.467 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.467 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (/ 1 x))) into 0 4.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.469 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x 4.469 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 4.469 * [taylor]: Taking taylor expansion of 0.5 in x 4.469 * [backup-simplify]: Simplify 0.5 into 0.5 4.469 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 4.469 * [taylor]: Taking taylor expansion of 0.5 in x 4.469 * [backup-simplify]: Simplify 0.5 into 0.5 4.469 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 4.469 * [taylor]: Taking taylor expansion of x in x 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 4.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 4.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.469 * [taylor]: Taking taylor expansion of x in x 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.469 * [taylor]: Taking taylor expansion of 4 in x 4.469 * [backup-simplify]: Simplify 4 into 4 4.469 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.469 * [taylor]: Taking taylor expansion of p in x 4.469 * [backup-simplify]: Simplify p into p 4.469 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.469 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.469 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.469 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 4.469 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 4.469 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.470 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.470 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 4.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 4.470 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 4.470 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.471 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.471 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 4.472 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 4.472 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 4.472 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5))) 4.472 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x 4.473 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 4.473 * [taylor]: Taking taylor expansion of 0.5 in x 4.473 * [backup-simplify]: Simplify 0.5 into 0.5 4.473 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 4.473 * [taylor]: Taking taylor expansion of 0.5 in x 4.473 * [backup-simplify]: Simplify 0.5 into 0.5 4.473 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 4.473 * [taylor]: Taking taylor expansion of x in x 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 4.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 4.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.473 * [taylor]: Taking taylor expansion of x in x 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.473 * [taylor]: Taking taylor expansion of 4 in x 4.473 * [backup-simplify]: Simplify 4 into 4 4.473 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.473 * [taylor]: Taking taylor expansion of p in x 4.473 * [backup-simplify]: Simplify p into p 4.473 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.473 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.473 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.473 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 4.473 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 4.473 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.474 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.474 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 4.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 4.474 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 4.474 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.475 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.475 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.475 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 4.476 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 4.476 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 4.476 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5))) 4.476 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.476 * [taylor]: Taking taylor expansion of 0.5 in p 4.476 * [backup-simplify]: Simplify 0.5 into 0.5 4.477 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.477 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.477 * [taylor]: Taking taylor expansion of (/ 0.125 (* p (sqrt 0.5))) in p 4.477 * [taylor]: Taking taylor expansion of 0.125 in p 4.477 * [backup-simplify]: Simplify 0.125 into 0.125 4.477 * [taylor]: Taking taylor expansion of (* p (sqrt 0.5)) in p 4.477 * [taylor]: Taking taylor expansion of p in p 4.477 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.478 * [taylor]: Taking taylor expansion of 0.5 in p 4.478 * [backup-simplify]: Simplify 0.5 into 0.5 4.478 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.479 * [backup-simplify]: Simplify (* 0 (sqrt 0.5)) into 0 4.480 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.5))) into (sqrt 0.5) 4.480 * [backup-simplify]: Simplify (/ 0.125 (sqrt 0.5)) into (/ 0.125 (sqrt 0.5)) 4.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.5)))) into 0 4.482 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))))) into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (* 1 1) into 1 4.483 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 4.484 * [backup-simplify]: Simplify (+ 1 0) into 1 4.484 * [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)))) 4.485 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 4.486 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 4.487 * [backup-simplify]: Simplify (+ 0 0) into 0 4.489 * [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))) 4.489 * [taylor]: Taking taylor expansion of (/ -0.0078125 (* (pow p 2) (pow (sqrt 0.5) 3))) in p 4.489 * [taylor]: Taking taylor expansion of -0.0078125 in p 4.489 * [backup-simplify]: Simplify -0.0078125 into -0.0078125 4.489 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 0.5) 3)) in p 4.489 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.489 * [taylor]: Taking taylor expansion of p in p 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.489 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in p 4.489 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.489 * [taylor]: Taking taylor expansion of 0.5 in p 4.489 * [backup-simplify]: Simplify 0.5 into 0.5 4.490 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.491 * [backup-simplify]: Simplify (* 1 1) into 1 4.492 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) 4.494 * [backup-simplify]: Simplify (* (sqrt 0.5) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 3) 4.496 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 3)) into (pow (sqrt 0.5) 3) 4.497 * [backup-simplify]: Simplify (/ -0.0078125 (pow (sqrt 0.5) 3)) into (/ -0.0078125 (pow (sqrt 0.5) 3)) 4.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.504 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 4.506 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 4.507 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.509 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (pow (sqrt 0.5) 2))) into 0 4.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 3)))) into 0 4.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 3))) into 0 4.513 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 0.5) 3)) (+ (* (/ -0.0078125 (pow (sqrt 0.5) 3)) (/ 0 (pow (sqrt 0.5) 3))))) into 0 4.514 * [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 4.514 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 4.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0 4.516 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))))) into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.518 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 4.519 * [backup-simplify]: Simplify (+ 0 0) into 0 4.519 * [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 4.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 4.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 4.520 * [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)))) 4.521 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 4.522 * [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))) 4.522 * [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 4.522 * [taylor]: Taking taylor expansion of 1/2 in p 4.522 * [backup-simplify]: Simplify 1/2 into 1/2 4.522 * [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 4.522 * [taylor]: Taking taylor expansion of (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) in p 4.522 * [taylor]: Taking taylor expansion of (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) in p 4.522 * [taylor]: Taking taylor expansion of 0.001953125 in p 4.522 * [backup-simplify]: Simplify 0.001953125 into 0.001953125 4.522 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4))) in p 4.522 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 0.5) 4)) in p 4.522 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.522 * [taylor]: Taking taylor expansion of p in p 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.523 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 4) in p 4.523 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.523 * [taylor]: Taking taylor expansion of 0.5 in p 4.523 * [backup-simplify]: Simplify 0.5 into 0.5 4.523 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.524 * [backup-simplify]: Simplify (* 1 1) into 1 4.524 * [backup-simplify]: Simplify (* 1 1) into 1 4.525 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) 4.526 * [backup-simplify]: Simplify (* (pow (sqrt 0.5) 2) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 4) 4.527 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 4)) into (pow (sqrt 0.5) 4) 4.529 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 0.5) 4)) into (/ 1 (pow (sqrt 0.5) 4)) 4.529 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 4.529 * [taylor]: Taking taylor expansion of 0.03125 in p 4.529 * [backup-simplify]: Simplify 0.03125 into 0.03125 4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 4.529 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.529 * [taylor]: Taking taylor expansion of p in p 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 1 into 1 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.530 * [backup-simplify]: Simplify (/ 1 1) into 1 4.530 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.530 * [taylor]: Taking taylor expansion of 0.5 in p 4.530 * [backup-simplify]: Simplify 0.5 into 0.5 4.530 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.532 * [backup-simplify]: Simplify (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) into (/ 0.001953125 (pow (sqrt 0.5) 4)) 4.532 * [backup-simplify]: Simplify (* 0.03125 1) into 0.03125 4.533 * [backup-simplify]: Simplify (- 0.03125) into (- 0.03125) 4.534 * [backup-simplify]: Simplify (+ (/ 0.001953125 (pow (sqrt 0.5) 4)) (- 0.03125)) into (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) 4.538 * [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)) 4.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 4.540 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0 4.540 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 4.541 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 4.542 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2))))) into 0 4.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.543 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.545 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (* 0 (pow (sqrt 0.5) 2))) into 0 4.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4))))) into 0 4.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 4))) into 0 4.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))))) into 0 4.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4)))) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))) (* 0 (/ 0 (pow (sqrt 0.5) 4))))) into 0 4.553 * [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 4.555 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))))) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.564 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (- 0) into 0 4.565 * [backup-simplify]: Simplify (+ 0 0) into 0 4.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 4.567 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))) into 0 4.568 * [backup-simplify]: Simplify (+ (* 0.03125 0) (* 0 1)) into 0 4.568 * [backup-simplify]: Simplify (- 0) into 0 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [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 4.570 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4))))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (* 0 1))) into 0 4.571 * [backup-simplify]: Simplify (- 0) into 0 4.571 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [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 4.575 * [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 4.576 * [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 4.576 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.577 * [backup-simplify]: Simplify (log (exp (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)) 4.577 * [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 4.577 * [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 4.577 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 4.577 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 4.577 * [taylor]: Taking taylor expansion of 0.5 in p 4.577 * [backup-simplify]: Simplify 0.5 into 0.5 4.577 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 4.577 * [taylor]: Taking taylor expansion of (/ 1 x) in p 4.577 * [taylor]: Taking taylor expansion of x in p 4.577 * [backup-simplify]: Simplify x into x 4.577 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 4.577 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.577 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.577 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.577 * [taylor]: Taking taylor expansion of 4 in p 4.577 * [backup-simplify]: Simplify 4 into 4 4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.577 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.577 * [taylor]: Taking taylor expansion of p in p 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (* 1 1) into 1 4.578 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.578 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.578 * [taylor]: Taking taylor expansion of x in p 4.578 * [backup-simplify]: Simplify x into x 4.578 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.578 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.578 * [backup-simplify]: Simplify (* 4 1) into 4 4.579 * [backup-simplify]: Simplify (+ 4 0) into 4 4.579 * [backup-simplify]: Simplify (/ 1 4) into 1/4 4.579 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 4.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.581 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 4.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 4.582 * [taylor]: Taking taylor expansion of 0.5 in p 4.582 * [backup-simplify]: Simplify 0.5 into 0.5 4.582 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.582 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.582 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x) 4.582 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x) 4.582 * [backup-simplify]: Simplify (+ (/ 0.25 x) 0) into (* 0.25 (/ 1 x)) 4.583 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 x)) (* 2 (sqrt 0.5))) into (/ 0.125 (* x (sqrt 0.5))) 4.583 * [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 4.583 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 4.583 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.583 * [taylor]: Taking taylor expansion of 0.5 in x 4.583 * [backup-simplify]: Simplify 0.5 into 0.5 4.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.583 * [taylor]: Taking taylor expansion of x in x 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (/ 1 1) into 1 4.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.583 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.584 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.584 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.584 * [taylor]: Taking taylor expansion of 4 in x 4.584 * [backup-simplify]: Simplify 4 into 4 4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.584 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.584 * [taylor]: Taking taylor expansion of p in x 4.584 * [backup-simplify]: Simplify p into p 4.584 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.584 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.584 * [taylor]: Taking taylor expansion of x in x 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (* 1 1) into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [backup-simplify]: Simplify (+ 0 1) into 1 4.585 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [backup-simplify]: Simplify (sqrt 1) into 1 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (+ 0 0) into 0 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.587 * [taylor]: Taking taylor expansion of 0.5 in x 4.587 * [backup-simplify]: Simplify 0.5 into 0.5 4.587 * [backup-simplify]: Simplify (* 1 1) into 1 4.588 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.588 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.588 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.589 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.590 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.590 * [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 4.590 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 4.590 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.590 * [taylor]: Taking taylor expansion of 0.5 in x 4.590 * [backup-simplify]: Simplify 0.5 into 0.5 4.590 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.590 * [taylor]: Taking taylor expansion of x in x 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (/ 1 1) into 1 4.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.591 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.591 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.591 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.591 * [taylor]: Taking taylor expansion of 4 in x 4.591 * [backup-simplify]: Simplify 4 into 4 4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.591 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.591 * [taylor]: Taking taylor expansion of p in x 4.591 * [backup-simplify]: Simplify p into p 4.591 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.591 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.591 * [taylor]: Taking taylor expansion of x in x 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (/ 1 1) into 1 4.592 * [backup-simplify]: Simplify (+ 0 1) into 1 4.592 * [backup-simplify]: Simplify (/ 1 1) into 1 4.592 * [backup-simplify]: Simplify (sqrt 1) into 1 4.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (+ 0 0) into 0 4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.594 * [taylor]: Taking taylor expansion of 0.5 in x 4.594 * [backup-simplify]: Simplify 0.5 into 0.5 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.595 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.596 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.597 * [backup-simplify]: Simplify (+ 0 0) into 0 4.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.598 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.598 * [taylor]: Taking taylor expansion of 1.0 in p 4.598 * [backup-simplify]: Simplify 1.0 into 1.0 4.598 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.599 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.599 * [taylor]: Taking taylor expansion of 0 in p 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.601 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.608 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.608 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 4.609 * [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))) 4.609 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow p 2) (sqrt 1.0))) in p 4.609 * [taylor]: Taking taylor expansion of -0.5 in p 4.609 * [backup-simplify]: Simplify -0.5 into -0.5 4.609 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 1.0)) in p 4.609 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.609 * [taylor]: Taking taylor expansion of p in p 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.609 * [taylor]: Taking taylor expansion of 1.0 in p 4.609 * [backup-simplify]: Simplify 1.0 into 1.0 4.610 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.610 * [backup-simplify]: Simplify (* 1 1) into 1 4.611 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 4.611 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 4.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 4.615 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 4.616 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.617 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.622 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.622 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (* (pow p 2) (sqrt 1.0))))))) (* 2 (sqrt 1.0))) into 0 4.623 * [taylor]: Taking taylor expansion of 0 in p 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.624 * [backup-simplify]: Simplify (log (exp (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))))))))) 4.624 * [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 4.624 * [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 4.624 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 4.624 * [taylor]: Taking taylor expansion of 0.5 in p 4.624 * [backup-simplify]: Simplify 0.5 into 0.5 4.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 4.624 * [taylor]: Taking taylor expansion of 0.5 in p 4.624 * [backup-simplify]: Simplify 0.5 into 0.5 4.624 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 4.624 * [taylor]: Taking taylor expansion of (/ 1 x) in p 4.624 * [taylor]: Taking taylor expansion of x in p 4.624 * [backup-simplify]: Simplify x into x 4.624 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 4.624 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.624 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.624 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.624 * [taylor]: Taking taylor expansion of 4 in p 4.624 * [backup-simplify]: Simplify 4 into 4 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.624 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.624 * [taylor]: Taking taylor expansion of p in p 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (* 1 1) into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.625 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.625 * [taylor]: Taking taylor expansion of x in p 4.625 * [backup-simplify]: Simplify x into x 4.625 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.625 * [backup-simplify]: Simplify (* 4 1) into 4 4.626 * [backup-simplify]: Simplify (+ 4 0) into 4 4.626 * [backup-simplify]: Simplify (/ 1 4) into 1/4 4.626 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 4.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.628 * [backup-simplify]: Simplify (+ 0 0) into 0 4.628 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 4.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 4.629 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.630 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.630 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x) 4.630 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x) 4.630 * [backup-simplify]: Simplify (- (/ 0.25 x)) into (- (* 0.25 (/ 1 x))) 4.630 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 x)))) into (- (* 0.25 (/ 1 x))) 4.631 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 x))) (* 2 (sqrt 0.5))) into (/ -0.125 (* x (sqrt 0.5))) 4.631 * [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 4.631 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 4.631 * [taylor]: Taking taylor expansion of 0.5 in x 4.631 * [backup-simplify]: Simplify 0.5 into 0.5 4.631 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.631 * [taylor]: Taking taylor expansion of 0.5 in x 4.631 * [backup-simplify]: Simplify 0.5 into 0.5 4.631 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.631 * [taylor]: Taking taylor expansion of x in x 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (/ 1 1) into 1 4.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.632 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.632 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.632 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.632 * [taylor]: Taking taylor expansion of 4 in x 4.632 * [backup-simplify]: Simplify 4 into 4 4.632 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.632 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.632 * [taylor]: Taking taylor expansion of p in x 4.632 * [backup-simplify]: Simplify p into p 4.632 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.632 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.633 * [backup-simplify]: Simplify (* 1 1) into 1 4.633 * [backup-simplify]: Simplify (/ 1 1) into 1 4.634 * [backup-simplify]: Simplify (+ 0 1) into 1 4.634 * [backup-simplify]: Simplify (/ 1 1) into 1 4.634 * [backup-simplify]: Simplify (sqrt 1) into 1 4.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (+ 0 0) into 0 4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.638 * [backup-simplify]: Simplify (* 1 1) into 1 4.639 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.639 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.640 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.642 * [backup-simplify]: Simplify (- 0) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.643 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.645 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.647 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.649 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.649 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 4.650 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 4.650 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p) 4.650 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (- 0) into 0 4.659 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0 4.659 * [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 4.659 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 4.659 * [taylor]: Taking taylor expansion of 0.5 in x 4.659 * [backup-simplify]: Simplify 0.5 into 0.5 4.659 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.659 * [taylor]: Taking taylor expansion of 0.5 in x 4.659 * [backup-simplify]: Simplify 0.5 into 0.5 4.659 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.660 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.660 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.660 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.660 * [taylor]: Taking taylor expansion of 4 in x 4.660 * [backup-simplify]: Simplify 4 into 4 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.660 * [taylor]: Taking taylor expansion of p in x 4.660 * [backup-simplify]: Simplify p into p 4.660 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.660 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (* 1 1) into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [backup-simplify]: Simplify (+ 0 1) into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.662 * [backup-simplify]: Simplify (sqrt 1) into 1 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ 0 0) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.665 * [backup-simplify]: Simplify (* 1 1) into 1 4.666 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.666 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.667 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.669 * [backup-simplify]: Simplify (- 0) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.670 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.674 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.676 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.676 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 4.677 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 4.677 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p) 4.677 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.678 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (- 0) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0 4.685 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) p) in p 4.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.686 * [taylor]: Taking taylor expansion of 1.0 in p 4.686 * [backup-simplify]: Simplify 1.0 into 1.0 4.686 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.686 * [taylor]: Taking taylor expansion of p in p 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (/ (sqrt 1.0) 1) into (sqrt 1.0) 4.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [taylor]: Taking taylor expansion of 0 in p 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 4.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 4.690 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.693 * [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))) 4.694 * [backup-simplify]: Simplify (/ (- (* 16 (/ 1 (pow p 4))) (pow (/ -2 (pow p 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 6 (pow p 4)) 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [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))) 4.696 * [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))) 4.696 * [backup-simplify]: Simplify (- (* 3.0 (/ 1 (pow p 4)))) into (- (* 3.0 (/ 1 (pow p 4)))) 4.696 * [backup-simplify]: Simplify (+ 0 (- (* 3.0 (/ 1 (pow p 4))))) into (- (* 3.0 (/ 1 (pow p 4)))) 4.697 * [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))) 4.697 * [taylor]: Taking taylor expansion of (/ -1.5 (* (pow p 3) (sqrt 1.0))) in p 4.697 * [taylor]: Taking taylor expansion of -1.5 in p 4.697 * [backup-simplify]: Simplify -1.5 into -1.5 4.697 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 1.0)) in p 4.697 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.697 * [taylor]: Taking taylor expansion of p in p 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.697 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.697 * [taylor]: Taking taylor expansion of 1.0 in p 4.697 * [backup-simplify]: Simplify 1.0 into 1.0 4.697 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.698 * [backup-simplify]: Simplify (* 1 1) into 1 4.698 * [backup-simplify]: Simplify (* 1 1) into 1 4.699 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 4.699 * [backup-simplify]: Simplify (/ -1.5 (sqrt 1.0)) into (/ -1.5 (sqrt 1.0)) 4.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 4.706 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 4.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 4.708 * [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 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.710 * [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))))))))) 4.710 * [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 4.710 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in p 4.710 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 4.710 * [taylor]: Taking taylor expansion of 0.5 in p 4.710 * [backup-simplify]: Simplify 0.5 into 0.5 4.710 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 4.710 * [taylor]: Taking taylor expansion of 0.5 in p 4.711 * [backup-simplify]: Simplify 0.5 into 0.5 4.711 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 4.711 * [taylor]: Taking taylor expansion of x in p 4.711 * [backup-simplify]: Simplify x into x 4.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 4.711 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 4.711 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 4.711 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.711 * [taylor]: Taking taylor expansion of x in p 4.711 * [backup-simplify]: Simplify x into x 4.711 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 4.711 * [taylor]: Taking taylor expansion of 4 in p 4.711 * [backup-simplify]: Simplify 4 into 4 4.711 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.711 * [taylor]: Taking taylor expansion of p in p 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.711 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.711 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.711 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 4.711 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 4.712 * [backup-simplify]: Simplify (* x (/ 1 x)) into 1 4.712 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.712 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.713 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.713 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (/ 1 x))) into 0 4.713 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.714 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x 4.714 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 4.714 * [taylor]: Taking taylor expansion of 0.5 in x 4.714 * [backup-simplify]: Simplify 0.5 into 0.5 4.714 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 4.714 * [taylor]: Taking taylor expansion of 0.5 in x 4.714 * [backup-simplify]: Simplify 0.5 into 0.5 4.714 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 4.714 * [taylor]: Taking taylor expansion of x in x 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 4.714 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 4.714 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.714 * [taylor]: Taking taylor expansion of x in x 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.714 * [taylor]: Taking taylor expansion of 4 in x 4.714 * [backup-simplify]: Simplify 4 into 4 4.714 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.714 * [taylor]: Taking taylor expansion of p in x 4.714 * [backup-simplify]: Simplify p into p 4.715 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.715 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.715 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.715 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 4.715 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 4.715 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.715 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 4.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 4.716 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 4.722 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.723 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.723 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.724 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 4.725 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 4.725 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 4.726 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5))) 4.726 * [taylor]: Taking taylor expansion of (sqrt (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))) in x 4.726 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 4.726 * [taylor]: Taking taylor expansion of 0.5 in x 4.726 * [backup-simplify]: Simplify 0.5 into 0.5 4.726 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 4.726 * [taylor]: Taking taylor expansion of 0.5 in x 4.726 * [backup-simplify]: Simplify 0.5 into 0.5 4.726 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 4.726 * [taylor]: Taking taylor expansion of x in x 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 4.726 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 4.726 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 4.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.726 * [taylor]: Taking taylor expansion of x in x 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.727 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 4.727 * [taylor]: Taking taylor expansion of 4 in x 4.727 * [backup-simplify]: Simplify 4 into 4 4.727 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.727 * [taylor]: Taking taylor expansion of p in x 4.727 * [backup-simplify]: Simplify p into p 4.727 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.727 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 4.727 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 4.727 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 4.727 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 4.727 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.728 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 4.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 4.729 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 4.730 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.730 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.730 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 4.732 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 4.732 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 4.733 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 p)) (* 2 (sqrt 0.5))) into (/ 0.125 (* p (sqrt 0.5))) 4.733 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.733 * [taylor]: Taking taylor expansion of 0.5 in p 4.733 * [backup-simplify]: Simplify 0.5 into 0.5 4.733 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.735 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.735 * [taylor]: Taking taylor expansion of (/ 0.125 (* p (sqrt 0.5))) in p 4.735 * [taylor]: Taking taylor expansion of 0.125 in p 4.735 * [backup-simplify]: Simplify 0.125 into 0.125 4.735 * [taylor]: Taking taylor expansion of (* p (sqrt 0.5)) in p 4.735 * [taylor]: Taking taylor expansion of p in p 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.735 * [taylor]: Taking taylor expansion of 0.5 in p 4.735 * [backup-simplify]: Simplify 0.5 into 0.5 4.735 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.737 * [backup-simplify]: Simplify (* 0 (sqrt 0.5)) into 0 4.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.5))) into (sqrt 0.5) 4.740 * [backup-simplify]: Simplify (/ 0.125 (sqrt 0.5)) into (/ 0.125 (sqrt 0.5)) 4.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.5)))) into 0 4.743 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))))) into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (* 1 1) into 1 4.745 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 4.745 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 4.746 * [backup-simplify]: Simplify (+ 1 0) into 1 4.746 * [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)))) 4.747 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 4.748 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 4.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [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))) 4.750 * [taylor]: Taking taylor expansion of (/ -0.0078125 (* (pow p 2) (pow (sqrt 0.5) 3))) in p 4.750 * [taylor]: Taking taylor expansion of -0.0078125 in p 4.750 * [backup-simplify]: Simplify -0.0078125 into -0.0078125 4.750 * [taylor]: Taking taylor expansion of (* (pow p 2) (pow (sqrt 0.5) 3)) in p 4.750 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.750 * [taylor]: Taking taylor expansion of p in p 4.750 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.751 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in p 4.751 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.751 * [taylor]: Taking taylor expansion of 0.5 in p 4.751 * [backup-simplify]: Simplify 0.5 into 0.5 4.751 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.752 * [backup-simplify]: Simplify (* 1 1) into 1 4.753 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) 4.755 * [backup-simplify]: Simplify (* (sqrt 0.5) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 3) 4.756 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 3)) into (pow (sqrt 0.5) 3) 4.758 * [backup-simplify]: Simplify (/ -0.0078125 (pow (sqrt 0.5) 3)) into (/ -0.0078125 (pow (sqrt 0.5) 3)) 4.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.760 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 4.761 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 4.762 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0 4.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.764 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (pow (sqrt 0.5) 2))) into 0 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 3)))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 3))) into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 (pow (sqrt 0.5) 3)) (+ (* (/ -0.0078125 (pow (sqrt 0.5) 3)) (/ 0 (pow (sqrt 0.5) 3))))) into 0 4.771 * [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 4.771 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0 4.776 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.5)) (+ (* (/ 0.125 (sqrt 0.5)) (/ 0 (sqrt 0.5))) (* 0 (/ 0 (sqrt 0.5))))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.779 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 4.780 * [backup-simplify]: Simplify (+ 0 0) into 0 4.781 * [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 4.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 4.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 4.782 * [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)))) 4.782 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 4.784 * [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))) 4.784 * [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 4.784 * [taylor]: Taking taylor expansion of 1/2 in p 4.784 * [backup-simplify]: Simplify 1/2 into 1/2 4.784 * [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 4.784 * [taylor]: Taking taylor expansion of (- (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) (* 0.03125 (/ 1 (pow p 3)))) in p 4.784 * [taylor]: Taking taylor expansion of (* 0.001953125 (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4)))) in p 4.784 * [taylor]: Taking taylor expansion of 0.001953125 in p 4.784 * [backup-simplify]: Simplify 0.001953125 into 0.001953125 4.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (pow (sqrt 0.5) 4))) in p 4.784 * [taylor]: Taking taylor expansion of (* (pow p 3) (pow (sqrt 0.5) 4)) in p 4.784 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.784 * [taylor]: Taking taylor expansion of p in p 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 4) in p 4.784 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.784 * [taylor]: Taking taylor expansion of 0.5 in p 4.784 * [backup-simplify]: Simplify 0.5 into 0.5 4.785 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.787 * [backup-simplify]: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) 4.788 * [backup-simplify]: Simplify (* (pow (sqrt 0.5) 2) (pow (sqrt 0.5) 2)) into (pow (sqrt 0.5) 4) 4.789 * [backup-simplify]: Simplify (* 1 (pow (sqrt 0.5) 4)) into (pow (sqrt 0.5) 4) 4.790 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 0.5) 4)) into (/ 1 (pow (sqrt 0.5) 4)) 4.790 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 4.790 * [taylor]: Taking taylor expansion of 0.03125 in p 4.790 * [backup-simplify]: Simplify 0.03125 into 0.03125 4.790 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 4.790 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.790 * [taylor]: Taking taylor expansion of p in p 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.791 * [backup-simplify]: Simplify (* 1 1) into 1 4.791 * [backup-simplify]: Simplify (* 1 1) into 1 4.791 * [backup-simplify]: Simplify (/ 1 1) into 1 4.791 * [taylor]: Taking taylor expansion of (sqrt 0.5) in p 4.791 * [taylor]: Taking taylor expansion of 0.5 in p 4.791 * [backup-simplify]: Simplify 0.5 into 0.5 4.791 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 4.793 * [backup-simplify]: Simplify (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) into (/ 0.001953125 (pow (sqrt 0.5) 4)) 4.794 * [backup-simplify]: Simplify (* 0.03125 1) into 0.03125 4.794 * [backup-simplify]: Simplify (- 0.03125) into (- 0.03125) 4.796 * [backup-simplify]: Simplify (+ (/ 0.001953125 (pow (sqrt 0.5) 4)) (- 0.03125)) into (- (* 0.001953125 (/ 1 (pow (sqrt 0.5) 4))) 0.03125) 4.799 * [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)) 4.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 4.801 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.5))))) into 0 4.802 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 4.802 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 4.803 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2))))) into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.805 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 2)))) into 0 4.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.806 * [backup-simplify]: Simplify (+ (* (pow (sqrt 0.5) 2) 0) (* 0 (pow (sqrt 0.5) 2))) into 0 4.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4))))) into 0 4.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 0.5) 4))) into 0 4.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))))) into 0 4.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 0.5) 4)))) into 0 4.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 0.5) 4)) (/ 0 (pow (sqrt 0.5) 4))) (* 0 (/ 0 (pow (sqrt 0.5) 4))))) into 0 4.816 * [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 4.818 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (- 0) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 4.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.5))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (* 0 (/ 1 (pow (sqrt 0.5) 4)))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 0.03125 0) (* 0 1)) into 0 4.830 * [backup-simplify]: Simplify (- 0) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.831 * [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 4.832 * [backup-simplify]: Simplify (+ (* 0.001953125 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 0.5) 4))))) into 0 4.833 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (* 0 1))) into 0 4.833 * [backup-simplify]: Simplify (- 0) into 0 4.833 * [backup-simplify]: Simplify (+ 0 0) into 0 4.835 * [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 4.836 * [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 4.838 * [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 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.838 * [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)) 4.838 * [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 4.838 * [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 4.839 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 4.839 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 4.839 * [taylor]: Taking taylor expansion of 0.5 in p 4.839 * [backup-simplify]: Simplify 0.5 into 0.5 4.839 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in p 4.839 * [taylor]: Taking taylor expansion of x in p 4.839 * [backup-simplify]: Simplify x into x 4.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 4.839 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.839 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.839 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.839 * [taylor]: Taking taylor expansion of 4 in p 4.839 * [backup-simplify]: Simplify 4 into 4 4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.839 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.839 * [taylor]: Taking taylor expansion of p in p 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (* 1 1) into 1 4.839 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.839 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.839 * [taylor]: Taking taylor expansion of x in p 4.839 * [backup-simplify]: Simplify x into x 4.839 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.840 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.840 * [backup-simplify]: Simplify (* 4 1) into 4 4.840 * [backup-simplify]: Simplify (+ 4 0) into 4 4.840 * [backup-simplify]: Simplify (/ 1 4) into 1/4 4.846 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.848 * [backup-simplify]: Simplify (+ 0 0) into 0 4.849 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 4.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 4.849 * [taylor]: Taking taylor expansion of 0.5 in p 4.849 * [backup-simplify]: Simplify 0.5 into 0.5 4.850 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.850 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.850 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x) 4.850 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x) 4.850 * [backup-simplify]: Simplify (+ (/ 0.25 x) 0) into (* 0.25 (/ 1 x)) 4.851 * [backup-simplify]: Simplify (/ (* 0.25 (/ 1 x)) (* 2 (sqrt 0.5))) into (/ 0.125 (* x (sqrt 0.5))) 4.851 * [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 4.851 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 4.851 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.851 * [taylor]: Taking taylor expansion of 0.5 in x 4.851 * [backup-simplify]: Simplify 0.5 into 0.5 4.851 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.851 * [taylor]: Taking taylor expansion of x in x 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.851 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.851 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.851 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.852 * [taylor]: Taking taylor expansion of 4 in x 4.852 * [backup-simplify]: Simplify 4 into 4 4.852 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.852 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.852 * [taylor]: Taking taylor expansion of p in x 4.852 * [backup-simplify]: Simplify p into p 4.852 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.852 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.852 * [taylor]: Taking taylor expansion of x in x 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (* 1 1) into 1 4.852 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [backup-simplify]: Simplify (+ 0 1) into 1 4.853 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [backup-simplify]: Simplify (sqrt 1) into 1 4.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.855 * [taylor]: Taking taylor expansion of 0.5 in x 4.855 * [backup-simplify]: Simplify 0.5 into 0.5 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.856 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.856 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.858 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.859 * [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 4.860 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 4.860 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.860 * [taylor]: Taking taylor expansion of 0.5 in x 4.860 * [backup-simplify]: Simplify 0.5 into 0.5 4.860 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.860 * [taylor]: Taking taylor expansion of x in x 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 1 into 1 4.860 * [backup-simplify]: Simplify (/ 1 1) into 1 4.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.860 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.860 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.860 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.860 * [taylor]: Taking taylor expansion of 4 in x 4.860 * [backup-simplify]: Simplify 4 into 4 4.860 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.860 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.860 * [taylor]: Taking taylor expansion of p in x 4.860 * [backup-simplify]: Simplify p into p 4.860 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.861 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.861 * [taylor]: Taking taylor expansion of x in x 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify (* 1 1) into 1 4.861 * [backup-simplify]: Simplify (/ 1 1) into 1 4.862 * [backup-simplify]: Simplify (+ 0 1) into 1 4.862 * [backup-simplify]: Simplify (/ 1 1) into 1 4.863 * [backup-simplify]: Simplify (sqrt 1) into 1 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.866 * [taylor]: Taking taylor expansion of 0.5 in x 4.866 * [backup-simplify]: Simplify 0.5 into 0.5 4.866 * [backup-simplify]: Simplify (* 1 1) into 1 4.867 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.867 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 4.868 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.869 * [backup-simplify]: Simplify (+ 0 0) into 0 4.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.870 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.870 * [taylor]: Taking taylor expansion of 1.0 in p 4.870 * [backup-simplify]: Simplify 1.0 into 1.0 4.870 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.871 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.871 * [taylor]: Taking taylor expansion of 0 in p 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.873 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.875 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.875 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 4.876 * [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))) 4.876 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow p 2) (sqrt 1.0))) in p 4.876 * [taylor]: Taking taylor expansion of -0.5 in p 4.876 * [backup-simplify]: Simplify -0.5 into -0.5 4.876 * [taylor]: Taking taylor expansion of (* (pow p 2) (sqrt 1.0)) in p 4.877 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.877 * [taylor]: Taking taylor expansion of p in p 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.877 * [taylor]: Taking taylor expansion of 1.0 in p 4.877 * [backup-simplify]: Simplify 1.0 into 1.0 4.877 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.878 * [backup-simplify]: Simplify (* 1 1) into 1 4.878 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 4.879 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 4.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 4.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 4.882 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 4.883 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -0.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.884 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (* (pow p 2) (sqrt 1.0))))))) (* 2 (sqrt 1.0))) into 0 4.890 * [taylor]: Taking taylor expansion of 0 in p 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.891 * [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))))))))) 4.891 * [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 4.891 * [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 4.891 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 4.891 * [taylor]: Taking taylor expansion of 0.5 in p 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 4.891 * [taylor]: Taking taylor expansion of 0.5 in p 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 4.891 * [taylor]: Taking taylor expansion of (/ 1 x) in p 4.891 * [taylor]: Taking taylor expansion of x in p 4.891 * [backup-simplify]: Simplify x into x 4.891 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 4.891 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 4.891 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 4.891 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 4.891 * [taylor]: Taking taylor expansion of 4 in p 4.891 * [backup-simplify]: Simplify 4 into 4 4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 4.891 * [taylor]: Taking taylor expansion of (pow p 2) in p 4.891 * [taylor]: Taking taylor expansion of p in p 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (* 1 1) into 1 4.892 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 4.892 * [taylor]: Taking taylor expansion of (pow x 2) in p 4.892 * [taylor]: Taking taylor expansion of x in p 4.892 * [backup-simplify]: Simplify x into x 4.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.892 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.892 * [backup-simplify]: Simplify (* 4 1) into 4 4.892 * [backup-simplify]: Simplify (+ 4 0) into 4 4.893 * [backup-simplify]: Simplify (/ 1 4) into 1/4 4.894 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 4.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.895 * [backup-simplify]: Simplify (+ 0 0) into 0 4.896 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 4.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 4.897 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.898 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5) 4.898 * [backup-simplify]: Simplify (* (/ 1 x) 1/2) into (/ 1/2 x) 4.898 * [backup-simplify]: Simplify (* 0.5 (/ 1/2 x)) into (/ 0.25 x) 4.898 * [backup-simplify]: Simplify (- (/ 0.25 x)) into (- (* 0.25 (/ 1 x))) 4.898 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 x)))) into (- (* 0.25 (/ 1 x))) 4.899 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 x))) (* 2 (sqrt 0.5))) into (/ -0.125 (* x (sqrt 0.5))) 4.899 * [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 4.899 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 4.899 * [taylor]: Taking taylor expansion of 0.5 in x 4.899 * [backup-simplify]: Simplify 0.5 into 0.5 4.899 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.899 * [taylor]: Taking taylor expansion of 0.5 in x 4.899 * [backup-simplify]: Simplify 0.5 into 0.5 4.899 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.900 * [taylor]: Taking taylor expansion of x in x 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (/ 1 1) into 1 4.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.900 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.900 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.900 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.900 * [taylor]: Taking taylor expansion of 4 in x 4.900 * [backup-simplify]: Simplify 4 into 4 4.900 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.900 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.900 * [taylor]: Taking taylor expansion of p in x 4.900 * [backup-simplify]: Simplify p into p 4.900 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.900 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.901 * [taylor]: Taking taylor expansion of x in x 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (* 1 1) into 1 4.901 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [backup-simplify]: Simplify (+ 0 1) into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [backup-simplify]: Simplify (sqrt 1) into 1 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.904 * [backup-simplify]: Simplify (+ 0 0) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.906 * [backup-simplify]: Simplify (* 1 1) into 1 4.907 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.907 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.908 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.910 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.910 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.911 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.915 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.917 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.917 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.918 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 4.918 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 4.918 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p) 4.918 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.919 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ 0 0) into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- 0) into 0 4.927 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0 4.928 * [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 4.928 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 4.928 * [taylor]: Taking taylor expansion of 0.5 in x 4.928 * [backup-simplify]: Simplify 0.5 into 0.5 4.928 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 4.928 * [taylor]: Taking taylor expansion of 0.5 in x 4.928 * [backup-simplify]: Simplify 0.5 into 0.5 4.928 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 4.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.928 * [taylor]: Taking taylor expansion of x in x 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (/ 1 1) into 1 4.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 4.928 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 4.928 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 4.928 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 4.928 * [taylor]: Taking taylor expansion of 4 in x 4.928 * [backup-simplify]: Simplify 4 into 4 4.928 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 4.928 * [taylor]: Taking taylor expansion of (pow p 2) in x 4.928 * [taylor]: Taking taylor expansion of p in x 4.929 * [backup-simplify]: Simplify p into p 4.929 * [backup-simplify]: Simplify (* p p) into (pow p 2) 4.929 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 4.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.929 * [taylor]: Taking taylor expansion of x in x 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [backup-simplify]: Simplify (+ 0 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [backup-simplify]: Simplify (sqrt 1) into 1 4.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (+ 0 0) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.935 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.935 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.936 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.938 * [backup-simplify]: Simplify (- 0) into 0 4.938 * [backup-simplify]: Simplify (+ 0 0) into 0 4.938 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 4.940 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 4.942 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 4.942 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 4.942 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 4.942 * [backup-simplify]: Simplify (sqrt (* 1.0 (/ 1 (pow p 2)))) into (/ (sqrt 1.0) p) 4.942 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 4.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (- 0) into 0 4.948 * [backup-simplify]: Simplify (+ 0 0) into 0 4.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 (pow p 2)))))) into 0 4.948 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) p) in p 4.948 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.948 * [taylor]: Taking taylor expansion of 1.0 in p 4.948 * [backup-simplify]: Simplify 1.0 into 1.0 4.948 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.948 * [taylor]: Taking taylor expansion of p in p 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (/ (sqrt 1.0) 1) into (sqrt 1.0) 4.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in p 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 4.952 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 4.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (+ 0 0) into 0 4.960 * [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))) 4.961 * [backup-simplify]: Simplify (/ (- (* 16 (/ 1 (pow p 4))) (pow (/ -2 (pow p 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 6 (pow p 4)) 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.963 * [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))) 4.964 * [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))) 4.964 * [backup-simplify]: Simplify (- (* 3.0 (/ 1 (pow p 4)))) into (- (* 3.0 (/ 1 (pow p 4)))) 4.964 * [backup-simplify]: Simplify (+ 0 (- (* 3.0 (/ 1 (pow p 4))))) into (- (* 3.0 (/ 1 (pow p 4)))) 4.965 * [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))) 4.965 * [taylor]: Taking taylor expansion of (/ -1.5 (* (pow p 3) (sqrt 1.0))) in p 4.965 * [taylor]: Taking taylor expansion of -1.5 in p 4.965 * [backup-simplify]: Simplify -1.5 into -1.5 4.965 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 1.0)) in p 4.965 * [taylor]: Taking taylor expansion of (pow p 3) in p 4.965 * [taylor]: Taking taylor expansion of p in p 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [taylor]: Taking taylor expansion of (sqrt 1.0) in p 4.965 * [taylor]: Taking taylor expansion of 1.0 in p 4.965 * [backup-simplify]: Simplify 1.0 into 1.0 4.966 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.966 * [backup-simplify]: Simplify (* 1 1) into 1 4.967 * [backup-simplify]: Simplify (* 1 1) into 1 4.967 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 4.968 * [backup-simplify]: Simplify (/ -1.5 (sqrt 1.0)) into (/ -1.5 (sqrt 1.0)) 4.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 4.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 4.977 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 4.980 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ -1.5 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 4.981 * [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 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * * * [progress]: simplifying candidates 4.984 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 4.984 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 4.984 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 4.984 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 4.984 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 4.984 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 4.984 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 4.985 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 4.985 * * [simplify]: iters left: 6 (10 enodes) 4.990 * * [simplify]: iters left: 5 (34 enodes) 5.000 * * [simplify]: iters left: 4 (37 enodes) 5.011 * * [simplify]: iters left: 3 (39 enodes) 5.020 * * [simplify]: Extracting #0: cost 1 inf + 0 5.020 * * [simplify]: Extracting #1: cost 4 inf + 0 5.020 * * [simplify]: Extracting #2: cost 7 inf + 0 5.020 * * [simplify]: Extracting #3: cost 10 inf + 0 5.020 * * [simplify]: Extracting #4: cost 17 inf + 0 5.020 * * [simplify]: Extracting #5: cost 16 inf + 3 5.020 * * [simplify]: Extracting #6: cost 9 inf + 373 5.020 * * [simplify]: Extracting #7: cost 4 inf + 1267 5.021 * * [simplify]: Extracting #8: cost 0 inf + 2359 5.021 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 5.021 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5))))) 5.022 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 5.022 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 5.022 * * [simplify]: iters left: 6 (9 enodes) 5.024 * * [simplify]: iters left: 5 (30 enodes) 5.030 * * [simplify]: iters left: 4 (33 enodes) 5.035 * * [simplify]: iters left: 3 (35 enodes) 5.040 * * [simplify]: Extracting #0: cost 1 inf + 0 5.040 * * [simplify]: Extracting #1: cost 3 inf + 0 5.040 * * [simplify]: Extracting #2: cost 5 inf + 0 5.040 * * [simplify]: Extracting #3: cost 8 inf + 0 5.041 * * [simplify]: Extracting #4: cost 15 inf + 0 5.041 * * [simplify]: Extracting #5: cost 13 inf + 44 5.041 * * [simplify]: Extracting #6: cost 8 inf + 291 5.041 * * [simplify]: Extracting #7: cost 4 inf + 781 5.041 * * [simplify]: Extracting #8: cost 0 inf + 1633 5.041 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 5.042 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5))))) 5.042 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 5.042 * [simplify]: Simplifying (sqrt 1) 5.042 * * [simplify]: iters left: 1 (2 enodes) 5.044 * * [simplify]: Extracting #0: cost 1 inf + 0 5.044 * * [simplify]: Extracting #1: cost 0 inf + 1 5.044 * [simplify]: Simplified to 1 5.044 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5))))) 5.044 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 5.044 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 5.044 * * [simplify]: iters left: 6 (11 enodes) 5.048 * * [simplify]: iters left: 5 (54 enodes) 5.061 * * [simplify]: iters left: 4 (135 enodes) 5.110 * * [simplify]: iters left: 3 (325 enodes) 5.254 * * [simplify]: Extracting #0: cost 1 inf + 0 5.254 * * [simplify]: Extracting #1: cost 3 inf + 0 5.254 * * [simplify]: Extracting #2: cost 6 inf + 0 5.254 * * [simplify]: Extracting #3: cost 50 inf + 0 5.255 * * [simplify]: Extracting #4: cost 136 inf + 1171 5.257 * * [simplify]: Extracting #5: cost 93 inf + 8781 5.265 * * [simplify]: Extracting #6: cost 26 inf + 27825 5.270 * * [simplify]: Extracting #7: cost 5 inf + 35083 5.275 * * [simplify]: Extracting #8: cost 0 inf + 36927 5.281 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 5.281 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))))) 0.5))))) 5.281 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 5.282 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 5.282 * * [simplify]: iters left: 6 (10 enodes) 5.288 * * [simplify]: iters left: 5 (48 enodes) 5.299 * * [simplify]: iters left: 4 (113 enodes) 5.330 * * [simplify]: iters left: 3 (257 enodes) 5.419 * * [simplify]: iters left: 2 (483 enodes) 5.579 * * [simplify]: Extracting #0: cost 1 inf + 0 5.579 * * [simplify]: Extracting #1: cost 3 inf + 0 5.579 * * [simplify]: Extracting #2: cost 32 inf + 0 5.580 * * [simplify]: Extracting #3: cost 118 inf + 0 5.581 * * [simplify]: Extracting #4: cost 142 inf + 2127 5.590 * * [simplify]: Extracting #5: cost 56 inf + 15017 5.604 * * [simplify]: Extracting #6: cost 2 inf + 27529 5.614 * * [simplify]: Extracting #7: cost 0 inf + 27895 5.621 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 5.621 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* 4 p))))))) 0.5))))) 5.621 * * * * [progress]: [ 12 / 75 ] simplifiying candidate # 5.621 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 5.621 * * [simplify]: iters left: 6 (7 enodes) 5.623 * * [simplify]: iters left: 5 (24 enodes) 5.627 * * [simplify]: iters left: 4 (27 enodes) 5.632 * * [simplify]: iters left: 3 (29 enodes) 5.636 * * [simplify]: Extracting #0: cost 1 inf + 0 5.636 * * [simplify]: Extracting #1: cost 4 inf + 0 5.636 * * [simplify]: Extracting #2: cost 11 inf + 0 5.636 * * [simplify]: Extracting #3: cost 10 inf + 3 5.637 * * [simplify]: Extracting #4: cost 4 inf + 292 5.637 * * [simplify]: Extracting #5: cost 1 inf + 578 5.637 * * [simplify]: Extracting #6: cost 0 inf + 741 5.637 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 5.637 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) 0.5))))) 5.637 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 5.637 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 5.637 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 5.637 * * [simplify]: iters left: 6 (8 enodes) 5.640 * * [simplify]: iters left: 5 (27 enodes) 5.648 * * [simplify]: iters left: 4 (30 enodes) 5.653 * * [simplify]: iters left: 3 (32 enodes) 5.661 * * [simplify]: Extracting #0: cost 1 inf + 0 5.661 * * [simplify]: Extracting #1: cost 3 inf + 0 5.661 * * [simplify]: Extracting #2: cost 6 inf + 0 5.661 * * [simplify]: Extracting #3: cost 13 inf + 0 5.661 * * [simplify]: Extracting #4: cost 10 inf + 126 5.661 * * [simplify]: Extracting #5: cost 5 inf + 374 5.662 * * [simplify]: Extracting #6: cost 1 inf + 944 5.662 * * [simplify]: Extracting #7: cost 0 inf + 1147 5.662 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 5.662 * [simplify]: Simplified (2 1 1 1 1 2 2 1) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p p))))))) 0.5))))) 5.662 * * * * [progress]: [ 15 / 75 ] simplifiying candidate # 5.662 * * * * [progress]: [ 16 / 75 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))))> 5.662 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 5.663 * [simplify]: Simplifying (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (exp 0.5)) 5.663 * * [simplify]: iters left: 6 (14 enodes) 5.667 * * [simplify]: iters left: 5 (53 enodes) 5.675 * * [simplify]: iters left: 4 (76 enodes) 5.695 * * [simplify]: iters left: 3 (114 enodes) 5.717 * * [simplify]: iters left: 2 (193 enodes) 5.762 * * [simplify]: iters left: 1 (369 enodes) 5.864 * * [simplify]: Extracting #0: cost 1 inf + 0 5.864 * * [simplify]: Extracting #1: cost 50 inf + 0 5.864 * * [simplify]: Extracting #2: cost 165 inf + 1 5.865 * * [simplify]: Extracting #3: cost 221 inf + 386 5.866 * * [simplify]: Extracting #4: cost 224 inf + 1219 5.867 * * [simplify]: Extracting #5: cost 220 inf + 1633 5.868 * * [simplify]: Extracting #6: cost 224 inf + 1674 5.870 * * [simplify]: Extracting #7: cost 221 inf + 1881 5.872 * * [simplify]: Extracting #8: cost 197 inf + 8518 5.878 * * [simplify]: Extracting #9: cost 119 inf + 40115 5.901 * * [simplify]: Extracting #10: cost 20 inf + 106192 5.926 * * [simplify]: Extracting #11: cost 1 inf + 118271 5.950 * * [simplify]: Extracting #12: cost 0 inf + 118957 5.971 * [simplify]: Simplified to (exp (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* p 4))))) 0.5)) 5.972 * [simplify]: Simplified (2 1 1 1 1) to (λ (p x) (log (exp (sqrt (log (exp (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* p 4))))) 0.5))))))) 5.972 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 24 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 27 / 75 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))> 5.972 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 5.972 * * * * [progress]: [ 29 / 75 ] simplifiying candidate # 5.973 * [simplify]: Simplifying (log (* (cbrt (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))) (cbrt (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 5.973 * * [simplify]: iters left: 6 (17 enodes) 5.977 * * [simplify]: iters left: 5 (61 enodes) 5.988 * * [simplify]: iters left: 4 (75 enodes) 6.000 * * [simplify]: iters left: 3 (89 enodes) 6.014 * * [simplify]: iters left: 2 (101 enodes) 6.030 * * [simplify]: iters left: 1 (104 enodes) 6.058 * * [simplify]: Extracting #0: cost 1 inf + 0 6.058 * * [simplify]: Extracting #1: cost 4 inf + 0 6.058 * * [simplify]: Extracting #2: cost 7 inf + 0 6.058 * * [simplify]: Extracting #3: cost 9 inf + 0 6.058 * * [simplify]: Extracting #4: cost 11 inf + 0 6.058 * * [simplify]: Extracting #5: cost 13 inf + 0 6.058 * * [simplify]: Extracting #6: cost 17 inf + 0 6.058 * * [simplify]: Extracting #7: cost 26 inf + 1 6.058 * * [simplify]: Extracting #8: cost 31 inf + 3 6.058 * * [simplify]: Extracting #9: cost 33 inf + 45 6.058 * * [simplify]: Extracting #10: cost 37 inf + 128 6.059 * * [simplify]: Extracting #11: cost 34 inf + 254 6.059 * * [simplify]: Extracting #12: cost 21 inf + 2490 6.060 * * [simplify]: Extracting #13: cost 11 inf + 5439 6.061 * * [simplify]: Extracting #14: cost 2 inf + 9935 6.063 * * [simplify]: Extracting #15: cost 0 inf + 11113 6.065 * [simplify]: Simplified to (+ (log (cbrt (exp (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))))) (log (cbrt (exp (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))))))) 6.065 * [simplify]: Simplified (2 1) to (λ (p x) (+ (+ (log (cbrt (exp (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))))) (log (cbrt (exp (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))))))) (log (cbrt (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))) 6.065 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 6.066 * [simplify]: Simplifying (log (sqrt (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))) 6.066 * * [simplify]: iters left: 6 (16 enodes) 6.070 * * [simplify]: iters left: 5 (56 enodes) 6.079 * * [simplify]: iters left: 4 (68 enodes) 6.096 * * [simplify]: iters left: 3 (82 enodes) 6.109 * * [simplify]: iters left: 2 (94 enodes) 6.123 * * [simplify]: iters left: 1 (97 enodes) 6.151 * * [simplify]: Extracting #0: cost 1 inf + 0 6.151 * * [simplify]: Extracting #1: cost 3 inf + 0 6.151 * * [simplify]: Extracting #2: cost 5 inf + 0 6.151 * * [simplify]: Extracting #3: cost 7 inf + 0 6.151 * * [simplify]: Extracting #4: cost 9 inf + 0 6.151 * * [simplify]: Extracting #5: cost 13 inf + 0 6.151 * * [simplify]: Extracting #6: cost 22 inf + 1 6.152 * * [simplify]: Extracting #7: cost 27 inf + 3 6.152 * * [simplify]: Extracting #8: cost 29 inf + 45 6.152 * * [simplify]: Extracting #9: cost 33 inf + 128 6.152 * * [simplify]: Extracting #10: cost 30 inf + 254 6.153 * * [simplify]: Extracting #11: cost 21 inf + 1598 6.155 * * [simplify]: Extracting #12: cost 7 inf + 5439 6.157 * * [simplify]: Extracting #13: cost 1 inf + 8053 6.160 * * [simplify]: Extracting #14: cost 0 inf + 8597 6.163 * [simplify]: Simplified to (log (sqrt (exp (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))) x)))))) 6.163 * [simplify]: Simplified (2 1) to (λ (p x) (+ (log (sqrt (exp (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))) x)))))) (log (sqrt (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))) 6.164 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 6.164 * [simplify]: Simplifying (log 1) 6.164 * * [simplify]: iters left: 1 (2 enodes) 6.166 * * [simplify]: Extracting #0: cost 1 inf + 0 6.167 * * [simplify]: Extracting #1: cost 0 inf + 1 6.167 * [simplify]: Simplified to 0 6.167 * [simplify]: Simplified (2 1) to (λ (p x) (+ 0 (log (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 6.167 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 6.167 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 6.167 * [simplify]: Simplifying (cbrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 6.167 * * [simplify]: iters left: 6 (14 enodes) 6.175 * * [simplify]: iters left: 5 (50 enodes) 6.188 * * [simplify]: iters left: 4 (62 enodes) 6.198 * * [simplify]: iters left: 3 (76 enodes) 6.210 * * [simplify]: iters left: 2 (88 enodes) 6.223 * * [simplify]: iters left: 1 (91 enodes) 6.236 * * [simplify]: Extracting #0: cost 1 inf + 0 6.236 * * [simplify]: Extracting #1: cost 3 inf + 0 6.236 * * [simplify]: Extracting #2: cost 5 inf + 0 6.236 * * [simplify]: Extracting #3: cost 9 inf + 0 6.236 * * [simplify]: Extracting #4: cost 18 inf + 1 6.236 * * [simplify]: Extracting #5: cost 23 inf + 3 6.236 * * [simplify]: Extracting #6: cost 25 inf + 45 6.236 * * [simplify]: Extracting #7: cost 29 inf + 128 6.237 * * [simplify]: Extracting #8: cost 26 inf + 254 6.237 * * [simplify]: Extracting #9: cost 18 inf + 1313 6.238 * * [simplify]: Extracting #10: cost 2 inf + 5813 6.239 * * [simplify]: Extracting #11: cost 0 inf + 6581 6.240 * [simplify]: Simplified to (cbrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 6.240 * [simplify]: Simplified (2 1) to (λ (p x) (* (cbrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (log (exp (* (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)))))))) 6.240 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 6.240 * [simplify]: Simplifying (sqrt (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 6.241 * * [simplify]: iters left: 6 (14 enodes) 6.244 * * [simplify]: iters left: 5 (50 enodes) 6.255 * * [simplify]: iters left: 4 (62 enodes) 6.273 * * [simplify]: iters left: 3 (76 enodes) 6.297 * * [simplify]: iters left: 2 (88 enodes) 6.310 * * [simplify]: iters left: 1 (91 enodes) 6.322 * * [simplify]: Extracting #0: cost 1 inf + 0 6.322 * * [simplify]: Extracting #1: cost 3 inf + 0 6.322 * * [simplify]: Extracting #2: cost 5 inf + 0 6.322 * * [simplify]: Extracting #3: cost 9 inf + 0 6.322 * * [simplify]: Extracting #4: cost 18 inf + 1 6.322 * * [simplify]: Extracting #5: cost 23 inf + 3 6.323 * * [simplify]: Extracting #6: cost 25 inf + 45 6.323 * * [simplify]: Extracting #7: cost 29 inf + 128 6.323 * * [simplify]: Extracting #8: cost 26 inf + 254 6.323 * * [simplify]: Extracting #9: cost 18 inf + 1313 6.324 * * [simplify]: Extracting #10: cost 2 inf + 5893 6.325 * * [simplify]: Extracting #11: cost 0 inf + 6661 6.326 * [simplify]: Simplified to (sqrt (cbrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 6.326 * [simplify]: Simplified (2 1) to (λ (p x) (* (sqrt (cbrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (log (exp (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)))))))) 6.326 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 6.327 * [simplify]: Simplifying (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 6.327 * * [simplify]: iters left: 6 (14 enodes) 6.331 * * [simplify]: iters left: 5 (50 enodes) 6.339 * * [simplify]: iters left: 4 (62 enodes) 6.350 * * [simplify]: iters left: 3 (76 enodes) 6.374 * * [simplify]: iters left: 2 (88 enodes) 6.388 * * [simplify]: iters left: 1 (91 enodes) 6.401 * * [simplify]: Extracting #0: cost 1 inf + 0 6.401 * * [simplify]: Extracting #1: cost 3 inf + 0 6.401 * * [simplify]: Extracting #2: cost 5 inf + 0 6.401 * * [simplify]: Extracting #3: cost 9 inf + 0 6.401 * * [simplify]: Extracting #4: cost 18 inf + 1 6.401 * * [simplify]: Extracting #5: cost 23 inf + 3 6.401 * * [simplify]: Extracting #6: cost 25 inf + 45 6.401 * * [simplify]: Extracting #7: cost 29 inf + 128 6.401 * * [simplify]: Extracting #8: cost 26 inf + 254 6.402 * * [simplify]: Extracting #9: cost 18 inf + 1313 6.403 * * [simplify]: Extracting #10: cost 2 inf + 5773 6.404 * * [simplify]: Extracting #11: cost 0 inf + 6501 6.405 * [simplify]: Simplified to (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 6.405 * [simplify]: Simplified (2 1) to (λ (p x) (* (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (log (exp (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))) 6.405 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 6.405 * [simplify]: Simplifying (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 6.406 * * [simplify]: iters left: 6 (13 enodes) 6.409 * * [simplify]: iters left: 5 (47 enodes) 6.420 * * [simplify]: iters left: 4 (59 enodes) 6.431 * * [simplify]: iters left: 3 (73 enodes) 6.443 * * [simplify]: iters left: 2 (85 enodes) 6.460 * * [simplify]: iters left: 1 (88 enodes) 6.481 * * [simplify]: Extracting #0: cost 1 inf + 0 6.481 * * [simplify]: Extracting #1: cost 3 inf + 0 6.481 * * [simplify]: Extracting #2: cost 7 inf + 0 6.481 * * [simplify]: Extracting #3: cost 16 inf + 1 6.482 * * [simplify]: Extracting #4: cost 20 inf + 45 6.482 * * [simplify]: Extracting #5: cost 22 inf + 87 6.482 * * [simplify]: Extracting #6: cost 27 inf + 128 6.482 * * [simplify]: Extracting #7: cost 24 inf + 254 6.483 * * [simplify]: Extracting #8: cost 16 inf + 1273 6.484 * * [simplify]: Extracting #9: cost 1 inf + 5329 6.486 * * [simplify]: Extracting #10: cost 0 inf + 5693 6.489 * [simplify]: Simplified to (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))) 6.489 * [simplify]: Simplified (2 1) to (λ (p x) (* (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))) (log (exp (sqrt 1))))) 6.489 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 6.489 * [simplify]: Simplifying (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 6.489 * * [simplify]: iters left: 6 (14 enodes) 6.497 * * [simplify]: iters left: 5 (50 enodes) 6.513 * * [simplify]: iters left: 4 (62 enodes) 6.531 * * [simplify]: iters left: 3 (76 enodes) 6.554 * * [simplify]: iters left: 2 (88 enodes) 6.575 * * [simplify]: iters left: 1 (91 enodes) 6.590 * * [simplify]: Extracting #0: cost 1 inf + 0 6.590 * * [simplify]: Extracting #1: cost 3 inf + 0 6.590 * * [simplify]: Extracting #2: cost 5 inf + 0 6.590 * * [simplify]: Extracting #3: cost 9 inf + 0 6.590 * * [simplify]: Extracting #4: cost 18 inf + 1 6.590 * * [simplify]: Extracting #5: cost 23 inf + 3 6.590 * * [simplify]: Extracting #6: cost 25 inf + 45 6.591 * * [simplify]: Extracting #7: cost 29 inf + 128 6.591 * * [simplify]: Extracting #8: cost 26 inf + 254 6.591 * * [simplify]: Extracting #9: cost 18 inf + 1313 6.593 * * [simplify]: Extracting #10: cost 2 inf + 5773 6.595 * * [simplify]: Extracting #11: cost 0 inf + 6501 6.598 * [simplify]: Simplified to (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 6.598 * [simplify]: Simplified (2 1) to (λ (p x) (* (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (log (exp (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))) 6.598 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 6.598 * [simplify]: Simplifying (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 6.598 * * [simplify]: iters left: 6 (13 enodes) 6.605 * * [simplify]: iters left: 5 (47 enodes) 6.619 * * [simplify]: iters left: 4 (59 enodes) 6.637 * * [simplify]: iters left: 3 (73 enodes) 6.658 * * [simplify]: iters left: 2 (85 enodes) 6.671 * * [simplify]: iters left: 1 (88 enodes) 6.683 * * [simplify]: Extracting #0: cost 1 inf + 0 6.683 * * [simplify]: Extracting #1: cost 3 inf + 0 6.683 * * [simplify]: Extracting #2: cost 7 inf + 0 6.683 * * [simplify]: Extracting #3: cost 16 inf + 1 6.683 * * [simplify]: Extracting #4: cost 20 inf + 45 6.683 * * [simplify]: Extracting #5: cost 22 inf + 87 6.683 * * [simplify]: Extracting #6: cost 27 inf + 128 6.684 * * [simplify]: Extracting #7: cost 24 inf + 254 6.684 * * [simplify]: Extracting #8: cost 16 inf + 1273 6.685 * * [simplify]: Extracting #9: cost 1 inf + 5329 6.686 * * [simplify]: Extracting #10: cost 0 inf + 5693 6.687 * [simplify]: Simplified to (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))) 6.687 * [simplify]: Simplified (2 1) to (λ (p x) (* (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))) (log (exp 1)))) 6.687 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 6.687 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 6.687 * [simplify]: Simplifying (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) 6.687 * * [simplify]: iters left: 6 (12 enodes) 6.691 * * [simplify]: iters left: 5 (43 enodes) 6.698 * * [simplify]: iters left: 4 (55 enodes) 6.709 * * [simplify]: iters left: 3 (69 enodes) 6.721 * * [simplify]: iters left: 2 (81 enodes) 6.734 * * [simplify]: iters left: 1 (84 enodes) 6.746 * * [simplify]: Extracting #0: cost 1 inf + 0 6.746 * * [simplify]: Extracting #1: cost 5 inf + 0 6.746 * * [simplify]: Extracting #2: cost 14 inf + 1 6.746 * * [simplify]: Extracting #3: cost 19 inf + 3 6.746 * * [simplify]: Extracting #4: cost 21 inf + 45 6.746 * * [simplify]: Extracting #5: cost 25 inf + 128 6.746 * * [simplify]: Extracting #6: cost 22 inf + 254 6.747 * * [simplify]: Extracting #7: cost 13 inf + 1516 6.747 * * [simplify]: Extracting #8: cost 1 inf + 4641 6.748 * * [simplify]: Extracting #9: cost 0 inf + 4965 6.749 * [simplify]: Simplified to (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))))) 6.749 * [simplify]: Simplified (2 1) to (λ (p x) (sqrt (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))))))) 6.749 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 6.749 * * * * [progress]: [ 42 / 75 ] simplifiying candidate # 6.749 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 6.749 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 6.749 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 47 / 75 ] simplifiying candidate #real (real->posit16 (log (exp (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))> 6.750 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 6.750 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 6.750 * [simplify]: Simplifying (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)))) 6.750 * * [simplify]: iters left: 6 (15 enodes) 6.754 * * [simplify]: iters left: 5 (54 enodes) 6.764 * * [simplify]: iters left: 4 (66 enodes) 6.774 * * [simplify]: iters left: 3 (80 enodes) 6.788 * * [simplify]: iters left: 2 (92 enodes) 6.809 * * [simplify]: iters left: 1 (95 enodes) 6.828 * * [simplify]: Extracting #0: cost 1 inf + 0 6.828 * * [simplify]: Extracting #1: cost 4 inf + 0 6.828 * * [simplify]: Extracting #2: cost 7 inf + 0 6.828 * * [simplify]: Extracting #3: cost 11 inf + 0 6.828 * * [simplify]: Extracting #4: cost 20 inf + 1 6.828 * * [simplify]: Extracting #5: cost 24 inf + 45 6.828 * * [simplify]: Extracting #6: cost 26 inf + 87 6.829 * * [simplify]: Extracting #7: cost 31 inf + 128 6.829 * * [simplify]: Extracting #8: cost 30 inf + 171 6.829 * * [simplify]: Extracting #9: cost 28 inf + 254 6.829 * * [simplify]: Extracting #10: cost 24 inf + 582 6.829 * * [simplify]: Extracting #11: cost 19 inf + 1516 6.830 * * [simplify]: Extracting #12: cost 7 inf + 4801 6.831 * * [simplify]: Extracting #13: cost 0 inf + 7549 6.833 * [simplify]: Simplified to (fabs (cbrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 6.833 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (* (fabs (cbrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (sqrt (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))) 6.833 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 6.833 * [simplify]: Simplifying (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))) 6.833 * * [simplify]: iters left: 6 (14 enodes) 6.837 * * [simplify]: iters left: 5 (50 enodes) 6.845 * * [simplify]: iters left: 4 (62 enodes) 6.857 * * [simplify]: iters left: 3 (76 enodes) 6.877 * * [simplify]: iters left: 2 (88 enodes) 6.892 * * [simplify]: iters left: 1 (91 enodes) 6.910 * * [simplify]: Extracting #0: cost 1 inf + 0 6.910 * * [simplify]: Extracting #1: cost 3 inf + 0 6.910 * * [simplify]: Extracting #2: cost 5 inf + 0 6.910 * * [simplify]: Extracting #3: cost 9 inf + 0 6.911 * * [simplify]: Extracting #4: cost 18 inf + 1 6.911 * * [simplify]: Extracting #5: cost 23 inf + 3 6.911 * * [simplify]: Extracting #6: cost 25 inf + 45 6.911 * * [simplify]: Extracting #7: cost 29 inf + 128 6.912 * * [simplify]: Extracting #8: cost 26 inf + 254 6.913 * * [simplify]: Extracting #9: cost 18 inf + 1313 6.914 * * [simplify]: Extracting #10: cost 2 inf + 5773 6.917 * * [simplify]: Extracting #11: cost 0 inf + 6501 6.919 * [simplify]: Simplified to (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) 6.919 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (* (sqrt (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5)))) (sqrt (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))) 6.920 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 6.920 * [simplify]: Simplifying (sqrt 1) 6.920 * * [simplify]: iters left: 1 (2 enodes) 6.923 * * [simplify]: Extracting #0: cost 1 inf + 0 6.923 * * [simplify]: Extracting #1: cost 0 inf + 1 6.923 * [simplify]: Simplified to 1 6.923 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (* 1 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 6.923 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 6.924 * [simplify]: Simplifying (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 3) (pow 0.5 3))) 6.924 * * [simplify]: iters left: 6 (16 enodes) 6.934 * * [simplify]: iters left: 5 (71 enodes) 6.966 * * [simplify]: iters left: 4 (152 enodes) 7.028 * * [simplify]: iters left: 3 (448 enodes) 7.271 * * [simplify]: Extracting #0: cost 1 inf + 0 7.271 * * [simplify]: Extracting #1: cost 3 inf + 0 7.271 * * [simplify]: Extracting #2: cost 23 inf + 0 7.271 * * [simplify]: Extracting #3: cost 119 inf + 1 7.272 * * [simplify]: Extracting #4: cost 288 inf + 937 7.274 * * [simplify]: Extracting #5: cost 293 inf + 5681 7.276 * * [simplify]: Extracting #6: cost 263 inf + 11421 7.282 * * [simplify]: Extracting #7: cost 182 inf + 39532 7.304 * * [simplify]: Extracting #8: cost 12 inf + 119754 7.338 * * [simplify]: Extracting #9: cost 0 inf + 125043 7.373 * * [simplify]: Extracting #10: cost 0 inf + 124832 7.402 * [simplify]: Simplified to (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) 7.402 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 7.402 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 7.402 * [simplify]: Simplifying (sqrt (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (* 0.5 0.5))) 7.402 * * [simplify]: iters left: 6 (15 enodes) 7.407 * * [simplify]: iters left: 5 (63 enodes) 7.419 * * [simplify]: iters left: 4 (123 enodes) 7.460 * * [simplify]: iters left: 3 (225 enodes) 7.519 * * [simplify]: iters left: 2 (426 enodes) 7.671 * * [simplify]: Extracting #0: cost 1 inf + 0 7.671 * * [simplify]: Extracting #1: cost 3 inf + 0 7.672 * * [simplify]: Extracting #2: cost 41 inf + 0 7.673 * * [simplify]: Extracting #3: cost 143 inf + 123 7.674 * * [simplify]: Extracting #4: cost 179 inf + 737 7.676 * * [simplify]: Extracting #5: cost 173 inf + 1721 7.679 * * [simplify]: Extracting #6: cost 170 inf + 1888 7.684 * * [simplify]: Extracting #7: cost 129 inf + 12915 7.699 * * [simplify]: Extracting #8: cost 23 inf + 48971 7.715 * * [simplify]: Extracting #9: cost 0 inf + 57463 7.732 * [simplify]: Simplified to (sqrt (* (- (* (/ (* x x) (+ (* x x) (* p (* p 4)))) 0.5) 0.5) 0.5)) 7.732 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (/ (sqrt (* (- (* (/ (* x x) (+ (* x x) (* p (* p 4)))) 0.5) 0.5) 0.5)) (sqrt (- (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 7.732 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 7.733 * [simplify]: Simplifying (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5) 7.733 * * [simplify]: iters left: 6 (12 enodes) 7.739 * * [simplify]: iters left: 5 (43 enodes) 7.752 * * [simplify]: iters left: 4 (55 enodes) 7.769 * * [simplify]: iters left: 3 (69 enodes) 7.794 * * [simplify]: iters left: 2 (81 enodes) 7.810 * * [simplify]: iters left: 1 (84 enodes) 7.821 * * [simplify]: Extracting #0: cost 1 inf + 0 7.821 * * [simplify]: Extracting #1: cost 5 inf + 0 7.821 * * [simplify]: Extracting #2: cost 14 inf + 1 7.821 * * [simplify]: Extracting #3: cost 19 inf + 3 7.822 * * [simplify]: Extracting #4: cost 21 inf + 45 7.822 * * [simplify]: Extracting #5: cost 25 inf + 128 7.822 * * [simplify]: Extracting #6: cost 22 inf + 254 7.822 * * [simplify]: Extracting #7: cost 13 inf + 1516 7.823 * * [simplify]: Extracting #8: cost 1 inf + 4641 7.824 * * [simplify]: Extracting #9: cost 0 inf + 4965 7.825 * [simplify]: Simplified to (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))))) 7.825 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (pow (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* p (* p 4))))))) (/ 1 2))))) 7.825 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 7.825 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 7.825 * [simplify]: Simplifying (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 7.825 * * [simplify]: iters left: 6 (13 enodes) 7.829 * * [simplify]: iters left: 5 (47 enodes) 7.840 * * [simplify]: iters left: 4 (59 enodes) 7.857 * * [simplify]: iters left: 3 (73 enodes) 7.882 * * [simplify]: iters left: 2 (85 enodes) 7.901 * * [simplify]: iters left: 1 (88 enodes) 7.913 * * [simplify]: Extracting #0: cost 1 inf + 0 7.913 * * [simplify]: Extracting #1: cost 3 inf + 0 7.914 * * [simplify]: Extracting #2: cost 7 inf + 0 7.914 * * [simplify]: Extracting #3: cost 16 inf + 1 7.914 * * [simplify]: Extracting #4: cost 20 inf + 45 7.914 * * [simplify]: Extracting #5: cost 22 inf + 87 7.914 * * [simplify]: Extracting #6: cost 27 inf + 128 7.914 * * [simplify]: Extracting #7: cost 24 inf + 254 7.914 * * [simplify]: Extracting #8: cost 16 inf + 1273 7.915 * * [simplify]: Extracting #9: cost 1 inf + 5329 7.916 * * [simplify]: Extracting #10: cost 0 inf + 5693 7.917 * [simplify]: Simplified to (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))) 7.917 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (fabs (sqrt (+ 0.5 (* (/ x (sqrt (+ (* x x) (* p (* p 4))))) 0.5))))))) 7.917 * * * * [progress]: [ 62 / 75 ] simplifiying candidate # 7.917 * * * * [progress]: [ 63 / 75 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))> 7.918 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 7.918 * [simplify]: Simplifying (* 2 p) 7.918 * * [simplify]: iters left: 2 (3 enodes) 7.919 * * [simplify]: iters left: 1 (10 enodes) 7.922 * * [simplify]: Extracting #0: cost 1 inf + 0 7.922 * * [simplify]: Extracting #1: cost 4 inf + 0 7.922 * * [simplify]: Extracting #2: cost 2 inf + 2 7.922 * * [simplify]: Extracting #3: cost 0 inf + 86 7.922 * [simplify]: Simplified to (* 2 p) 7.922 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (* 2 p))) 0.5))))) 7.922 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 7.922 * [simplify]: Simplifying x 7.922 * * [simplify]: iters left: 0 (1 enodes) 7.923 * * [simplify]: Extracting #0: cost 1 inf + 0 7.923 * * [simplify]: Extracting #1: cost 0 inf + 1 7.923 * [simplify]: Simplified to x 7.923 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x x)) 0.5))))) 7.923 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 7.924 * [simplify]: Simplifying (* -1 x) 7.924 * * [simplify]: iters left: 2 (3 enodes) 7.926 * * [simplify]: iters left: 1 (11 enodes) 7.929 * * [simplify]: Extracting #0: cost 1 inf + 0 7.929 * * [simplify]: Extracting #1: cost 4 inf + 0 7.930 * * [simplify]: Extracting #2: cost 0 inf + 84 7.930 * [simplify]: Simplified to (- x) 7.930 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (p x) (log (exp (sqrt (+ (* 0.5 (/ x (- x))) 0.5))))) 7.930 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 7.930 * [simplify]: Simplifying 0.5 7.930 * * [simplify]: iters left: 0 (1 enodes) 7.931 * * [simplify]: Extracting #0: cost 1 inf + 0 7.931 * * [simplify]: Extracting #1: cost 0 inf + 1 7.931 * [simplify]: Simplified to 0.5 7.931 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (sqrt 0.5)))) 7.931 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 7.932 * [simplify]: Simplifying 1.0 7.932 * * [simplify]: iters left: 0 (1 enodes) 7.932 * * [simplify]: Extracting #0: cost 1 inf + 0 7.932 * * [simplify]: Extracting #1: cost 0 inf + 1 7.933 * [simplify]: Simplified to 1.0 7.933 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (sqrt 1.0)))) 7.933 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 7.933 * [simplify]: Simplifying 0 7.933 * * [simplify]: iters left: 0 (1 enodes) 7.934 * * [simplify]: Extracting #0: cost 1 inf + 0 7.934 * * [simplify]: Extracting #1: cost 0 inf + 1 7.934 * [simplify]: Simplified to 0 7.934 * [simplify]: Simplified (2 1 1 1) to (λ (p x) (log (exp (sqrt 0)))) 7.934 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 7.934 * [simplify]: Simplifying (sqrt 0.5) 7.935 * * [simplify]: iters left: 1 (2 enodes) 7.936 * * [simplify]: Extracting #0: cost 1 inf + 0 7.936 * * [simplify]: Extracting #1: cost 3 inf + 0 7.936 * * [simplify]: Extracting #2: cost 2 inf + 1 7.936 * * [simplify]: Extracting #3: cost 0 inf + 83 7.936 * [simplify]: Simplified to (sqrt 0.5) 7.936 * [simplify]: Simplified (2) to (λ (p x) (sqrt 0.5)) 7.936 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 7.937 * [simplify]: Simplifying (sqrt 1.0) 7.937 * * [simplify]: iters left: 1 (2 enodes) 7.938 * * [simplify]: Extracting #0: cost 1 inf + 0 7.938 * * [simplify]: Extracting #1: cost 3 inf + 0 7.938 * * [simplify]: Extracting #2: cost 2 inf + 1 7.938 * * [simplify]: Extracting #3: cost 0 inf + 83 7.938 * [simplify]: Simplified to (sqrt 1.0) 7.938 * [simplify]: Simplified (2) to (λ (p x) (sqrt 1.0)) 7.939 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 7.939 * [simplify]: Simplifying 0 7.939 * * [simplify]: iters left: 0 (1 enodes) 7.940 * * [simplify]: Extracting #0: cost 1 inf + 0 7.940 * * [simplify]: Extracting #1: cost 0 inf + 1 7.940 * [simplify]: Simplified to 0 7.940 * [simplify]: Simplified (2) to (λ (p x) 0) 7.940 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 7.940 * [simplify]: Simplifying (sqrt 0.5) 7.940 * * [simplify]: iters left: 1 (2 enodes) 7.942 * * [simplify]: Extracting #0: cost 1 inf + 0 7.942 * * [simplify]: Extracting #1: cost 3 inf + 0 7.942 * * [simplify]: Extracting #2: cost 2 inf + 1 7.942 * * [simplify]: Extracting #3: cost 0 inf + 83 7.942 * [simplify]: Simplified to (sqrt 0.5) 7.942 * [simplify]: Simplified (2 1 1) to (λ (p x) (log (exp (sqrt 0.5)))) 7.942 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 7.942 * [simplify]: Simplifying (sqrt 1.0) 7.943 * * [simplify]: iters left: 1 (2 enodes) 7.944 * * [simplify]: Extracting #0: cost 1 inf + 0 7.944 * * [simplify]: Extracting #1: cost 3 inf + 0 7.944 * * [simplify]: Extracting #2: cost 2 inf + 1 7.944 * * [simplify]: Extracting #3: cost 0 inf + 83 7.944 * [simplify]: Simplified to (sqrt 1.0) 7.945 * [simplify]: Simplified (2 1 1) to (λ (p x) (log (exp (sqrt 1.0)))) 7.945 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 7.945 * [simplify]: Simplifying 0 7.945 * * [simplify]: iters left: 0 (1 enodes) 7.946 * * [simplify]: Extracting #0: cost 1 inf + 0 7.946 * * [simplify]: Extracting #1: cost 0 inf + 1 7.946 * [simplify]: Simplified to 0 7.946 * [simplify]: Simplified (2 1 1) to (λ (p x) (log (exp 0))) 7.946 * * * [progress]: adding candidates to table 8.817 * * [progress]: iteration 3 / 4 8.817 * * * [progress]: picking best candidate 8.877 * * * * [pick]: Picked # 8.877 * * * [progress]: localizing error 8.969 * * * [progress]: generating rewritten candidates 8.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 1 2) 8.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2 2) 8.988 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 2) 8.999 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 2) 9.006 * * * [progress]: generating series expansions 9.006 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 1 2) 9.006 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* p 4)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 9.006 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 9.006 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 9.006 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 9.006 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.006 * [taylor]: Taking taylor expansion of x in p 9.006 * [backup-simplify]: Simplify x into x 9.006 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 9.006 * [taylor]: Taking taylor expansion of 4 in p 9.006 * [backup-simplify]: Simplify 4 into 4 9.006 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.006 * [taylor]: Taking taylor expansion of p in p 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.006 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.007 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.007 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.008 * [taylor]: Taking taylor expansion of x in x 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.008 * [taylor]: Taking taylor expansion of 4 in x 9.008 * [backup-simplify]: Simplify 4 into 4 9.008 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.008 * [taylor]: Taking taylor expansion of p in x 9.008 * [backup-simplify]: Simplify p into p 9.008 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.008 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.008 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.008 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.008 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.009 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.009 * [backup-simplify]: Simplify (+ 0 0) into 0 9.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.009 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.009 * [taylor]: Taking taylor expansion of x in x 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.009 * [taylor]: Taking taylor expansion of 4 in x 9.009 * [backup-simplify]: Simplify 4 into 4 9.009 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.009 * [taylor]: Taking taylor expansion of p in x 9.009 * [backup-simplify]: Simplify p into p 9.010 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.010 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.010 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.010 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.010 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.010 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.010 * [backup-simplify]: Simplify (+ 0 0) into 0 9.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.011 * [taylor]: Taking taylor expansion of (* 2 p) in p 9.011 * [taylor]: Taking taylor expansion of 2 in p 9.011 * [backup-simplify]: Simplify 2 into 2 9.011 * [taylor]: Taking taylor expansion of p in p 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (* 2 0) into 0 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [taylor]: Taking taylor expansion of 0 in p 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.012 * [backup-simplify]: Simplify 2 into 2 9.012 * [backup-simplify]: Simplify (* 1 1) into 1 9.012 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 9.013 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 9.013 * [backup-simplify]: Simplify (+ 1 0) into 1 9.013 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 9.013 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 9.013 * [taylor]: Taking taylor expansion of 1/4 in p 9.013 * [backup-simplify]: Simplify 1/4 into 1/4 9.014 * [taylor]: Taking taylor expansion of p in p 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.016 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 9.017 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 9.017 * [backup-simplify]: Simplify (+ 0 0) into 0 9.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 9.017 * [taylor]: Taking taylor expansion of 0 in p 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 9.018 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* (/ 1 p) 4)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.018 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.018 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.018 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.018 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.018 * [taylor]: Taking taylor expansion of 4 in p 9.018 * [backup-simplify]: Simplify 4 into 4 9.018 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.018 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.018 * [taylor]: Taking taylor expansion of p in p 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (* 1 1) into 1 9.019 * [backup-simplify]: Simplify (/ 1 1) into 1 9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.019 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.019 * [taylor]: Taking taylor expansion of x in p 9.019 * [backup-simplify]: Simplify x into x 9.019 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.019 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.019 * [backup-simplify]: Simplify (* 4 1) into 4 9.019 * [backup-simplify]: Simplify (+ 4 0) into 4 9.020 * [backup-simplify]: Simplify (sqrt 4) into 2 9.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.022 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.022 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.022 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.022 * [taylor]: Taking taylor expansion of 4 in x 9.022 * [backup-simplify]: Simplify 4 into 4 9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.022 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.022 * [taylor]: Taking taylor expansion of p in x 9.022 * [backup-simplify]: Simplify p into p 9.022 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.022 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.022 * [taylor]: Taking taylor expansion of x in x 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (* 1 1) into 1 9.023 * [backup-simplify]: Simplify (/ 1 1) into 1 9.023 * [backup-simplify]: Simplify (+ 0 1) into 1 9.023 * [backup-simplify]: Simplify (sqrt 1) into 1 9.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.025 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.025 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.025 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.025 * [taylor]: Taking taylor expansion of 4 in x 9.025 * [backup-simplify]: Simplify 4 into 4 9.025 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.025 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.025 * [taylor]: Taking taylor expansion of p in x 9.025 * [backup-simplify]: Simplify p into p 9.025 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.025 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.025 * [taylor]: Taking taylor expansion of x in x 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (* 1 1) into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.026 * [backup-simplify]: Simplify (+ 0 1) into 1 9.026 * [backup-simplify]: Simplify (sqrt 1) into 1 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.027 * [backup-simplify]: Simplify (+ 0 0) into 0 9.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.028 * [taylor]: Taking taylor expansion of 1 in p 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [taylor]: Taking taylor expansion of 0 in p 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.030 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.030 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.030 * [taylor]: Taking taylor expansion of 2 in p 9.030 * [backup-simplify]: Simplify 2 into 2 9.030 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.030 * [taylor]: Taking taylor expansion of p in p 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 1 into 1 9.030 * [backup-simplify]: Simplify (* 1 1) into 1 9.031 * [backup-simplify]: Simplify (/ 2 1) into 2 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.034 * [taylor]: Taking taylor expansion of 0 in p 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.036 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* (/ 1 (- p)) 4)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.036 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.036 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.036 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.036 * [taylor]: Taking taylor expansion of 4 in p 9.036 * [backup-simplify]: Simplify 4 into 4 9.036 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.036 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.036 * [taylor]: Taking taylor expansion of p in p 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (* 1 1) into 1 9.036 * [backup-simplify]: Simplify (/ 1 1) into 1 9.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.036 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.036 * [taylor]: Taking taylor expansion of x in p 9.036 * [backup-simplify]: Simplify x into x 9.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.036 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.037 * [backup-simplify]: Simplify (* 4 1) into 4 9.037 * [backup-simplify]: Simplify (+ 4 0) into 4 9.037 * [backup-simplify]: Simplify (sqrt 4) into 2 9.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.039 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.039 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.039 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.039 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.039 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.039 * [taylor]: Taking taylor expansion of 4 in x 9.039 * [backup-simplify]: Simplify 4 into 4 9.039 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.039 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.039 * [taylor]: Taking taylor expansion of p in x 9.039 * [backup-simplify]: Simplify p into p 9.039 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.040 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.040 * [taylor]: Taking taylor expansion of x in x 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (* 1 1) into 1 9.040 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [backup-simplify]: Simplify (+ 0 1) into 1 9.041 * [backup-simplify]: Simplify (sqrt 1) into 1 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.042 * [backup-simplify]: Simplify (+ 0 0) into 0 9.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.042 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.042 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.042 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.042 * [taylor]: Taking taylor expansion of 4 in x 9.042 * [backup-simplify]: Simplify 4 into 4 9.042 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.042 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.042 * [taylor]: Taking taylor expansion of p in x 9.042 * [backup-simplify]: Simplify p into p 9.042 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.042 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.042 * [taylor]: Taking taylor expansion of x in x 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (* 1 1) into 1 9.043 * [backup-simplify]: Simplify (/ 1 1) into 1 9.043 * [backup-simplify]: Simplify (+ 0 1) into 1 9.043 * [backup-simplify]: Simplify (sqrt 1) into 1 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.045 * [taylor]: Taking taylor expansion of 1 in p 9.045 * [backup-simplify]: Simplify 1 into 1 9.045 * [taylor]: Taking taylor expansion of 0 in p 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify 1 into 1 9.045 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.048 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.048 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.048 * [taylor]: Taking taylor expansion of 2 in p 9.048 * [backup-simplify]: Simplify 2 into 2 9.048 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.048 * [taylor]: Taking taylor expansion of p in p 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (* 1 1) into 1 9.048 * [backup-simplify]: Simplify (/ 2 1) into 2 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (+ 0 0) into 0 9.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.052 * [taylor]: Taking taylor expansion of 0 in p 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.053 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2 2) 9.053 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 9.053 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 9.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 9.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 9.053 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.053 * [taylor]: Taking taylor expansion of x in p 9.053 * [backup-simplify]: Simplify x into x 9.053 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 9.053 * [taylor]: Taking taylor expansion of 4 in p 9.053 * [backup-simplify]: Simplify 4 into 4 9.053 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.053 * [taylor]: Taking taylor expansion of p in p 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.053 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.053 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.054 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.054 * [backup-simplify]: Simplify (+ 0 0) into 0 9.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.054 * [taylor]: Taking taylor expansion of x in x 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.054 * [taylor]: Taking taylor expansion of 4 in x 9.054 * [backup-simplify]: Simplify 4 into 4 9.054 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.054 * [taylor]: Taking taylor expansion of p in x 9.054 * [backup-simplify]: Simplify p into p 9.054 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.054 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.054 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.054 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.054 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.055 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.055 * [backup-simplify]: Simplify (+ 0 0) into 0 9.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.055 * [taylor]: Taking taylor expansion of x in x 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.055 * [taylor]: Taking taylor expansion of 4 in x 9.055 * [backup-simplify]: Simplify 4 into 4 9.055 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.055 * [taylor]: Taking taylor expansion of p in x 9.055 * [backup-simplify]: Simplify p into p 9.055 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.055 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.055 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.055 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.055 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.056 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.056 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.056 * [taylor]: Taking taylor expansion of (* 2 p) in p 9.056 * [taylor]: Taking taylor expansion of 2 in p 9.056 * [backup-simplify]: Simplify 2 into 2 9.056 * [taylor]: Taking taylor expansion of p in p 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify 1 into 1 9.057 * [backup-simplify]: Simplify (* 2 0) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [taylor]: Taking taylor expansion of 0 in p 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.057 * [backup-simplify]: Simplify 2 into 2 9.057 * [backup-simplify]: Simplify (* 1 1) into 1 9.058 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 9.058 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 9.059 * [backup-simplify]: Simplify (+ 1 0) into 1 9.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 9.059 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 9.059 * [taylor]: Taking taylor expansion of 1/4 in p 9.059 * [backup-simplify]: Simplify 1/4 into 1/4 9.059 * [taylor]: Taking taylor expansion of p in p 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.062 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 9.062 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 9.063 * [taylor]: Taking taylor expansion of 0 in p 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 9.064 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.064 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.064 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.064 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.064 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.064 * [taylor]: Taking taylor expansion of 4 in p 9.064 * [backup-simplify]: Simplify 4 into 4 9.064 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.064 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.064 * [taylor]: Taking taylor expansion of p in p 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 1 into 1 9.064 * [backup-simplify]: Simplify (* 1 1) into 1 9.065 * [backup-simplify]: Simplify (/ 1 1) into 1 9.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.065 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.065 * [taylor]: Taking taylor expansion of x in p 9.065 * [backup-simplify]: Simplify x into x 9.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.065 * [backup-simplify]: Simplify (* 4 1) into 4 9.066 * [backup-simplify]: Simplify (+ 4 0) into 4 9.066 * [backup-simplify]: Simplify (sqrt 4) into 2 9.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.069 * [backup-simplify]: Simplify (+ 0 0) into 0 9.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.070 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.070 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.070 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.070 * [taylor]: Taking taylor expansion of 4 in x 9.070 * [backup-simplify]: Simplify 4 into 4 9.070 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.070 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.070 * [taylor]: Taking taylor expansion of p in x 9.070 * [backup-simplify]: Simplify p into p 9.070 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.070 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.070 * [taylor]: Taking taylor expansion of x in x 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (* 1 1) into 1 9.071 * [backup-simplify]: Simplify (/ 1 1) into 1 9.071 * [backup-simplify]: Simplify (+ 0 1) into 1 9.072 * [backup-simplify]: Simplify (sqrt 1) into 1 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.074 * [backup-simplify]: Simplify (+ 0 0) into 0 9.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.075 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.075 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.075 * [taylor]: Taking taylor expansion of 4 in x 9.075 * [backup-simplify]: Simplify 4 into 4 9.075 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.075 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.075 * [taylor]: Taking taylor expansion of p in x 9.075 * [backup-simplify]: Simplify p into p 9.075 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.075 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.075 * [taylor]: Taking taylor expansion of x in x 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (* 1 1) into 1 9.076 * [backup-simplify]: Simplify (/ 1 1) into 1 9.077 * [backup-simplify]: Simplify (+ 0 1) into 1 9.077 * [backup-simplify]: Simplify (sqrt 1) into 1 9.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.080 * [taylor]: Taking taylor expansion of 1 in p 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [taylor]: Taking taylor expansion of 0 in p 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.084 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.084 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.084 * [taylor]: Taking taylor expansion of 2 in p 9.084 * [backup-simplify]: Simplify 2 into 2 9.084 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.084 * [taylor]: Taking taylor expansion of p in p 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (* 1 1) into 1 9.085 * [backup-simplify]: Simplify (/ 2 1) into 2 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.087 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.090 * [taylor]: Taking taylor expansion of 0 in p 9.090 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.092 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.092 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.092 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.092 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.092 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.093 * [taylor]: Taking taylor expansion of 4 in p 9.093 * [backup-simplify]: Simplify 4 into 4 9.093 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.093 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.093 * [taylor]: Taking taylor expansion of p in p 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 1 into 1 9.093 * [backup-simplify]: Simplify (* 1 1) into 1 9.093 * [backup-simplify]: Simplify (/ 1 1) into 1 9.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.094 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.094 * [taylor]: Taking taylor expansion of x in p 9.094 * [backup-simplify]: Simplify x into x 9.094 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.094 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.094 * [backup-simplify]: Simplify (* 4 1) into 4 9.095 * [backup-simplify]: Simplify (+ 4 0) into 4 9.095 * [backup-simplify]: Simplify (sqrt 4) into 2 9.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.097 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.098 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.099 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.099 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.099 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.099 * [taylor]: Taking taylor expansion of 4 in x 9.099 * [backup-simplify]: Simplify 4 into 4 9.099 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.099 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.099 * [taylor]: Taking taylor expansion of p in x 9.099 * [backup-simplify]: Simplify p into p 9.099 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.099 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.099 * [taylor]: Taking taylor expansion of x in x 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (* 1 1) into 1 9.100 * [backup-simplify]: Simplify (/ 1 1) into 1 9.100 * [backup-simplify]: Simplify (+ 0 1) into 1 9.101 * [backup-simplify]: Simplify (sqrt 1) into 1 9.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.403 * [backup-simplify]: Simplify (+ 0 0) into 0 9.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.404 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.404 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.404 * [taylor]: Taking taylor expansion of 4 in x 9.404 * [backup-simplify]: Simplify 4 into 4 9.404 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.404 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.404 * [taylor]: Taking taylor expansion of p in x 9.404 * [backup-simplify]: Simplify p into p 9.404 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.404 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.404 * [taylor]: Taking taylor expansion of x in x 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.404 * [backup-simplify]: Simplify (* 1 1) into 1 9.405 * [backup-simplify]: Simplify (/ 1 1) into 1 9.405 * [backup-simplify]: Simplify (+ 0 1) into 1 9.405 * [backup-simplify]: Simplify (sqrt 1) into 1 9.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.406 * [backup-simplify]: Simplify (+ 0 0) into 0 9.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.407 * [taylor]: Taking taylor expansion of 1 in p 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of 0 in p 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.409 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.409 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.409 * [taylor]: Taking taylor expansion of 2 in p 9.409 * [backup-simplify]: Simplify 2 into 2 9.409 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.409 * [taylor]: Taking taylor expansion of p in p 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (* 1 1) into 1 9.409 * [backup-simplify]: Simplify (/ 2 1) into 2 9.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.411 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (+ 0 0) into 0 9.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.414 * [taylor]: Taking taylor expansion of 0 in p 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.415 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 2) 9.415 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 9.415 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 9.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 9.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 9.415 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.415 * [taylor]: Taking taylor expansion of x in p 9.415 * [backup-simplify]: Simplify x into x 9.415 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 9.415 * [taylor]: Taking taylor expansion of 4 in p 9.416 * [backup-simplify]: Simplify 4 into 4 9.416 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.416 * [taylor]: Taking taylor expansion of p in p 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.416 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.416 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.416 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.416 * [backup-simplify]: Simplify (+ 0 0) into 0 9.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.416 * [taylor]: Taking taylor expansion of x in x 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.416 * [taylor]: Taking taylor expansion of 4 in x 9.416 * [backup-simplify]: Simplify 4 into 4 9.416 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.416 * [taylor]: Taking taylor expansion of p in x 9.416 * [backup-simplify]: Simplify p into p 9.417 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.417 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.417 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.417 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.417 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.418 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.418 * [backup-simplify]: Simplify (+ 0 0) into 0 9.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.418 * [taylor]: Taking taylor expansion of x in x 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.418 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.418 * [taylor]: Taking taylor expansion of 4 in x 9.418 * [backup-simplify]: Simplify 4 into 4 9.418 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.418 * [taylor]: Taking taylor expansion of p in x 9.419 * [backup-simplify]: Simplify p into p 9.419 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.419 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.419 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.419 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.419 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.420 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.420 * [backup-simplify]: Simplify (+ 0 0) into 0 9.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.420 * [taylor]: Taking taylor expansion of (* 2 p) in p 9.420 * [taylor]: Taking taylor expansion of 2 in p 9.420 * [backup-simplify]: Simplify 2 into 2 9.420 * [taylor]: Taking taylor expansion of p in p 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify (* 2 0) into 0 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [taylor]: Taking taylor expansion of 0 in p 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.422 * [backup-simplify]: Simplify 2 into 2 9.422 * [backup-simplify]: Simplify (* 1 1) into 1 9.423 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 9.424 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 9.424 * [backup-simplify]: Simplify (+ 1 0) into 1 9.425 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 9.425 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 9.425 * [taylor]: Taking taylor expansion of 1/4 in p 9.425 * [backup-simplify]: Simplify 1/4 into 1/4 9.425 * [taylor]: Taking taylor expansion of p in p 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 1 into 1 9.426 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.429 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 9.431 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 9.431 * [backup-simplify]: Simplify (+ 0 0) into 0 9.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 9.431 * [taylor]: Taking taylor expansion of 0 in p 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 9.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.433 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.433 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.433 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.433 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.433 * [taylor]: Taking taylor expansion of 4 in p 9.433 * [backup-simplify]: Simplify 4 into 4 9.433 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.433 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.433 * [taylor]: Taking taylor expansion of p in p 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 1 into 1 9.433 * [backup-simplify]: Simplify (* 1 1) into 1 9.434 * [backup-simplify]: Simplify (/ 1 1) into 1 9.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.434 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.434 * [taylor]: Taking taylor expansion of x in p 9.434 * [backup-simplify]: Simplify x into x 9.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.434 * [backup-simplify]: Simplify (* 4 1) into 4 9.435 * [backup-simplify]: Simplify (+ 4 0) into 4 9.435 * [backup-simplify]: Simplify (sqrt 4) into 2 9.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.437 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.438 * [backup-simplify]: Simplify (+ 0 0) into 0 9.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.439 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.439 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.439 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.439 * [taylor]: Taking taylor expansion of 4 in x 9.439 * [backup-simplify]: Simplify 4 into 4 9.439 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.439 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.439 * [taylor]: Taking taylor expansion of p in x 9.439 * [backup-simplify]: Simplify p into p 9.439 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.439 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.439 * [taylor]: Taking taylor expansion of x in x 9.439 * [backup-simplify]: Simplify 0 into 0 9.439 * [backup-simplify]: Simplify 1 into 1 9.439 * [backup-simplify]: Simplify (* 1 1) into 1 9.440 * [backup-simplify]: Simplify (/ 1 1) into 1 9.440 * [backup-simplify]: Simplify (+ 0 1) into 1 9.441 * [backup-simplify]: Simplify (sqrt 1) into 1 9.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (+ 0 0) into 0 9.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.443 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.443 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.443 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.443 * [taylor]: Taking taylor expansion of 4 in x 9.443 * [backup-simplify]: Simplify 4 into 4 9.443 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.443 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.444 * [taylor]: Taking taylor expansion of p in x 9.444 * [backup-simplify]: Simplify p into p 9.444 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.444 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.444 * [taylor]: Taking taylor expansion of x in x 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 1 into 1 9.444 * [backup-simplify]: Simplify (* 1 1) into 1 9.445 * [backup-simplify]: Simplify (/ 1 1) into 1 9.445 * [backup-simplify]: Simplify (+ 0 1) into 1 9.445 * [backup-simplify]: Simplify (sqrt 1) into 1 9.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.447 * [backup-simplify]: Simplify (+ 0 0) into 0 9.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.448 * [taylor]: Taking taylor expansion of 1 in p 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [taylor]: Taking taylor expansion of 0 in p 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.450 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.452 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.452 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.452 * [taylor]: Taking taylor expansion of 2 in p 9.452 * [backup-simplify]: Simplify 2 into 2 9.452 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.452 * [taylor]: Taking taylor expansion of p in p 9.452 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (* 1 1) into 1 9.454 * [backup-simplify]: Simplify (/ 2 1) into 2 9.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.455 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.456 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.459 * [backup-simplify]: Simplify (+ 0 0) into 0 9.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.459 * [taylor]: Taking taylor expansion of 0 in p 9.459 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.462 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.462 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.462 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.462 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.462 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.462 * [taylor]: Taking taylor expansion of 4 in p 9.462 * [backup-simplify]: Simplify 4 into 4 9.462 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.462 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.462 * [taylor]: Taking taylor expansion of p in p 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (* 1 1) into 1 9.463 * [backup-simplify]: Simplify (/ 1 1) into 1 9.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.463 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.463 * [taylor]: Taking taylor expansion of x in p 9.463 * [backup-simplify]: Simplify x into x 9.463 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.463 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.464 * [backup-simplify]: Simplify (* 4 1) into 4 9.464 * [backup-simplify]: Simplify (+ 4 0) into 4 9.465 * [backup-simplify]: Simplify (sqrt 4) into 2 9.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.467 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.467 * [backup-simplify]: Simplify (+ 0 0) into 0 9.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.468 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.468 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.468 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.468 * [taylor]: Taking taylor expansion of 4 in x 9.468 * [backup-simplify]: Simplify 4 into 4 9.468 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.468 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.468 * [taylor]: Taking taylor expansion of p in x 9.468 * [backup-simplify]: Simplify p into p 9.469 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.469 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.469 * [taylor]: Taking taylor expansion of x in x 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify 1 into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.470 * [backup-simplify]: Simplify (/ 1 1) into 1 9.470 * [backup-simplify]: Simplify (+ 0 1) into 1 9.470 * [backup-simplify]: Simplify (sqrt 1) into 1 9.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.472 * [backup-simplify]: Simplify (+ 0 0) into 0 9.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.473 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.473 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.473 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.473 * [taylor]: Taking taylor expansion of 4 in x 9.473 * [backup-simplify]: Simplify 4 into 4 9.473 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.473 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.473 * [taylor]: Taking taylor expansion of p in x 9.473 * [backup-simplify]: Simplify p into p 9.473 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.473 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.473 * [taylor]: Taking taylor expansion of x in x 9.473 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 1 into 1 9.474 * [backup-simplify]: Simplify (* 1 1) into 1 9.474 * [backup-simplify]: Simplify (/ 1 1) into 1 9.475 * [backup-simplify]: Simplify (+ 0 1) into 1 9.475 * [backup-simplify]: Simplify (sqrt 1) into 1 9.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.477 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.478 * [taylor]: Taking taylor expansion of 1 in p 9.478 * [backup-simplify]: Simplify 1 into 1 9.478 * [taylor]: Taking taylor expansion of 0 in p 9.478 * [backup-simplify]: Simplify 0 into 0 9.478 * [backup-simplify]: Simplify 1 into 1 9.478 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.480 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.481 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.482 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.482 * [taylor]: Taking taylor expansion of 2 in p 9.482 * [backup-simplify]: Simplify 2 into 2 9.482 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.482 * [taylor]: Taking taylor expansion of p in p 9.482 * [backup-simplify]: Simplify 0 into 0 9.482 * [backup-simplify]: Simplify 1 into 1 9.482 * [backup-simplify]: Simplify (* 1 1) into 1 9.483 * [backup-simplify]: Simplify (/ 2 1) into 2 9.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.485 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.485 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.487 * [backup-simplify]: Simplify (+ 0 0) into 0 9.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.488 * [taylor]: Taking taylor expansion of 0 in p 9.488 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.489 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.490 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 2) 9.490 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 9.490 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 9.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 9.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 9.490 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.490 * [taylor]: Taking taylor expansion of x in p 9.490 * [backup-simplify]: Simplify x into x 9.490 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 9.490 * [taylor]: Taking taylor expansion of 4 in p 9.490 * [backup-simplify]: Simplify 4 into 4 9.490 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.490 * [taylor]: Taking taylor expansion of p in p 9.490 * [backup-simplify]: Simplify 0 into 0 9.490 * [backup-simplify]: Simplify 1 into 1 9.490 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.490 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.490 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.490 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.490 * [backup-simplify]: Simplify (+ 0 0) into 0 9.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.491 * [taylor]: Taking taylor expansion of x in x 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify 1 into 1 9.491 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.491 * [taylor]: Taking taylor expansion of 4 in x 9.491 * [backup-simplify]: Simplify 4 into 4 9.491 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.491 * [taylor]: Taking taylor expansion of p in x 9.491 * [backup-simplify]: Simplify p into p 9.491 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.491 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.491 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.491 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.491 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.491 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 9.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 9.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.492 * [taylor]: Taking taylor expansion of x in x 9.492 * [backup-simplify]: Simplify 0 into 0 9.492 * [backup-simplify]: Simplify 1 into 1 9.492 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 9.492 * [taylor]: Taking taylor expansion of 4 in x 9.492 * [backup-simplify]: Simplify 4 into 4 9.492 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.492 * [taylor]: Taking taylor expansion of p in x 9.492 * [backup-simplify]: Simplify p into p 9.492 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.492 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 9.492 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 9.492 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 9.492 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.492 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 9.493 * [backup-simplify]: Simplify (+ 0 0) into 0 9.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 9.493 * [taylor]: Taking taylor expansion of (* 2 p) in p 9.493 * [taylor]: Taking taylor expansion of 2 in p 9.493 * [backup-simplify]: Simplify 2 into 2 9.493 * [taylor]: Taking taylor expansion of p in p 9.493 * [backup-simplify]: Simplify 0 into 0 9.493 * [backup-simplify]: Simplify 1 into 1 9.493 * [backup-simplify]: Simplify (* 2 0) into 0 9.493 * [backup-simplify]: Simplify 0 into 0 9.493 * [taylor]: Taking taylor expansion of 0 in p 9.493 * [backup-simplify]: Simplify 0 into 0 9.493 * [backup-simplify]: Simplify 0 into 0 9.494 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.494 * [backup-simplify]: Simplify 2 into 2 9.494 * [backup-simplify]: Simplify (* 1 1) into 1 9.494 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 9.495 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 9.495 * [backup-simplify]: Simplify (+ 1 0) into 1 9.496 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 9.496 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 9.496 * [taylor]: Taking taylor expansion of 1/4 in p 9.496 * [backup-simplify]: Simplify 1/4 into 1/4 9.496 * [taylor]: Taking taylor expansion of p in p 9.496 * [backup-simplify]: Simplify 0 into 0 9.496 * [backup-simplify]: Simplify 1 into 1 9.496 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.496 * [backup-simplify]: Simplify 0 into 0 9.497 * [backup-simplify]: Simplify 0 into 0 9.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.497 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.498 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 9.499 * [backup-simplify]: Simplify (+ 0 0) into 0 9.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 9.499 * [taylor]: Taking taylor expansion of 0 in p 9.499 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 9.500 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.500 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.500 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.500 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.500 * [taylor]: Taking taylor expansion of 4 in p 9.500 * [backup-simplify]: Simplify 4 into 4 9.500 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.500 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.500 * [taylor]: Taking taylor expansion of p in p 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 1 into 1 9.501 * [backup-simplify]: Simplify (* 1 1) into 1 9.501 * [backup-simplify]: Simplify (/ 1 1) into 1 9.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.501 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.501 * [taylor]: Taking taylor expansion of x in p 9.501 * [backup-simplify]: Simplify x into x 9.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.501 * [backup-simplify]: Simplify (* 4 1) into 4 9.501 * [backup-simplify]: Simplify (+ 4 0) into 4 9.502 * [backup-simplify]: Simplify (sqrt 4) into 2 9.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.503 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.503 * [backup-simplify]: Simplify (+ 0 0) into 0 9.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.504 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.504 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.504 * [taylor]: Taking taylor expansion of 4 in x 9.504 * [backup-simplify]: Simplify 4 into 4 9.504 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.504 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.504 * [taylor]: Taking taylor expansion of p in x 9.504 * [backup-simplify]: Simplify p into p 9.504 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.504 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.504 * [taylor]: Taking taylor expansion of x in x 9.504 * [backup-simplify]: Simplify 0 into 0 9.504 * [backup-simplify]: Simplify 1 into 1 9.504 * [backup-simplify]: Simplify (* 1 1) into 1 9.505 * [backup-simplify]: Simplify (/ 1 1) into 1 9.505 * [backup-simplify]: Simplify (+ 0 1) into 1 9.505 * [backup-simplify]: Simplify (sqrt 1) into 1 9.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.506 * [backup-simplify]: Simplify (+ 0 0) into 0 9.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.507 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.507 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.507 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.507 * [taylor]: Taking taylor expansion of 4 in x 9.507 * [backup-simplify]: Simplify 4 into 4 9.507 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.507 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.507 * [taylor]: Taking taylor expansion of p in x 9.507 * [backup-simplify]: Simplify p into p 9.507 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.507 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.507 * [taylor]: Taking taylor expansion of x in x 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [backup-simplify]: Simplify (* 1 1) into 1 9.507 * [backup-simplify]: Simplify (/ 1 1) into 1 9.508 * [backup-simplify]: Simplify (+ 0 1) into 1 9.508 * [backup-simplify]: Simplify (sqrt 1) into 1 9.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.509 * [backup-simplify]: Simplify (+ 0 0) into 0 9.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.510 * [taylor]: Taking taylor expansion of 1 in p 9.510 * [backup-simplify]: Simplify 1 into 1 9.510 * [taylor]: Taking taylor expansion of 0 in p 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify 1 into 1 9.510 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.511 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.512 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.512 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.512 * [taylor]: Taking taylor expansion of 2 in p 9.512 * [backup-simplify]: Simplify 2 into 2 9.512 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.512 * [taylor]: Taking taylor expansion of p in p 9.512 * [backup-simplify]: Simplify 0 into 0 9.512 * [backup-simplify]: Simplify 1 into 1 9.512 * [backup-simplify]: Simplify (* 1 1) into 1 9.512 * [backup-simplify]: Simplify (/ 2 1) into 2 9.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.514 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.516 * [backup-simplify]: Simplify (+ 0 0) into 0 9.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.516 * [taylor]: Taking taylor expansion of 0 in p 9.516 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.517 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.518 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 9.518 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 9.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 9.518 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 9.518 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 9.518 * [taylor]: Taking taylor expansion of 4 in p 9.518 * [backup-simplify]: Simplify 4 into 4 9.518 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 9.518 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.518 * [taylor]: Taking taylor expansion of p in p 9.518 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify 1 into 1 9.518 * [backup-simplify]: Simplify (* 1 1) into 1 9.518 * [backup-simplify]: Simplify (/ 1 1) into 1 9.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 9.518 * [taylor]: Taking taylor expansion of (pow x 2) in p 9.518 * [taylor]: Taking taylor expansion of x in p 9.518 * [backup-simplify]: Simplify x into x 9.518 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.519 * [backup-simplify]: Simplify (* 4 1) into 4 9.519 * [backup-simplify]: Simplify (+ 4 0) into 4 9.519 * [backup-simplify]: Simplify (sqrt 4) into 2 9.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.521 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 9.521 * [backup-simplify]: Simplify (+ 0 0) into 0 9.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 9.521 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.521 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.521 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.521 * [taylor]: Taking taylor expansion of 4 in x 9.521 * [backup-simplify]: Simplify 4 into 4 9.521 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.521 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.521 * [taylor]: Taking taylor expansion of p in x 9.521 * [backup-simplify]: Simplify p into p 9.521 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.521 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.522 * [taylor]: Taking taylor expansion of x in x 9.522 * [backup-simplify]: Simplify 0 into 0 9.522 * [backup-simplify]: Simplify 1 into 1 9.525 * [backup-simplify]: Simplify (* 1 1) into 1 9.526 * [backup-simplify]: Simplify (/ 1 1) into 1 9.526 * [backup-simplify]: Simplify (+ 0 1) into 1 9.527 * [backup-simplify]: Simplify (sqrt 1) into 1 9.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (+ 0 0) into 0 9.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 9.528 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 9.528 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 9.528 * [taylor]: Taking taylor expansion of 4 in x 9.528 * [backup-simplify]: Simplify 4 into 4 9.528 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 9.528 * [taylor]: Taking taylor expansion of (pow p 2) in x 9.528 * [taylor]: Taking taylor expansion of p in x 9.528 * [backup-simplify]: Simplify p into p 9.528 * [backup-simplify]: Simplify (* p p) into (pow p 2) 9.528 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 9.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.529 * [taylor]: Taking taylor expansion of x in x 9.529 * [backup-simplify]: Simplify 0 into 0 9.529 * [backup-simplify]: Simplify 1 into 1 9.529 * [backup-simplify]: Simplify (* 1 1) into 1 9.529 * [backup-simplify]: Simplify (/ 1 1) into 1 9.529 * [backup-simplify]: Simplify (+ 0 1) into 1 9.530 * [backup-simplify]: Simplify (sqrt 1) into 1 9.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.531 * [backup-simplify]: Simplify (+ 0 0) into 0 9.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.531 * [taylor]: Taking taylor expansion of 1 in p 9.531 * [backup-simplify]: Simplify 1 into 1 9.531 * [taylor]: Taking taylor expansion of 0 in p 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify 1 into 1 9.531 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 9.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.533 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 9.533 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 9.533 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 9.533 * [taylor]: Taking taylor expansion of 2 in p 9.533 * [backup-simplify]: Simplify 2 into 2 9.533 * [taylor]: Taking taylor expansion of (pow p 2) in p 9.534 * [taylor]: Taking taylor expansion of p in p 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 1 into 1 9.534 * [backup-simplify]: Simplify (* 1 1) into 1 9.534 * [backup-simplify]: Simplify (/ 2 1) into 2 9.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 9.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 9.536 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 9.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.537 * [backup-simplify]: Simplify (+ 0 0) into 0 9.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 9.537 * [taylor]: Taking taylor expansion of 0 in p 9.537 * [backup-simplify]: Simplify 0 into 0 9.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.539 * * * [progress]: simplifying candidates 9.539 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 9.539 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 9.539 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 9.539 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 9.539 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 9.539 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 9.539 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 9.539 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* p 4)))) (cbrt (+ (* x x) (* p (* p 4)))))) 9.539 * * [simplify]: iters left: 6 (10 enodes) 9.542 * * [simplify]: iters left: 5 (36 enodes) 9.548 * * [simplify]: iters left: 4 (39 enodes) 9.554 * * [simplify]: Extracting #0: cost 1 inf + 0 9.554 * * [simplify]: Extracting #1: cost 4 inf + 0 9.554 * * [simplify]: Extracting #2: cost 7 inf + 0 9.554 * * [simplify]: Extracting #3: cost 10 inf + 0 9.554 * * [simplify]: Extracting #4: cost 17 inf + 0 9.554 * * [simplify]: Extracting #5: cost 15 inf + 44 9.554 * * [simplify]: Extracting #6: cost 10 inf + 291 9.555 * * [simplify]: Extracting #7: cost 4 inf + 1267 9.555 * * [simplify]: Extracting #8: cost 0 inf + 2359 9.555 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* 4 (* p p))))) 9.555 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* (fabs (cbrt (+ (* x x) (* 4 (* p p))))) (sqrt (cbrt (+ (* x x) (* p (* p 4))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 9.556 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 9.556 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* p 4))))) 9.556 * * [simplify]: iters left: 6 (9 enodes) 9.558 * * [simplify]: iters left: 5 (32 enodes) 9.564 * * [simplify]: iters left: 4 (35 enodes) 9.570 * * [simplify]: Extracting #0: cost 1 inf + 0 9.571 * * [simplify]: Extracting #1: cost 3 inf + 0 9.571 * * [simplify]: Extracting #2: cost 5 inf + 0 9.571 * * [simplify]: Extracting #3: cost 8 inf + 0 9.571 * * [simplify]: Extracting #4: cost 15 inf + 0 9.571 * * [simplify]: Extracting #5: cost 13 inf + 44 9.571 * * [simplify]: Extracting #6: cost 8 inf + 291 9.571 * * [simplify]: Extracting #7: cost 4 inf + 781 9.572 * * [simplify]: Extracting #8: cost 0 inf + 1633 9.573 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* 4 (* p p))))) 9.573 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* (sqrt (sqrt (+ (* x x) (* 4 (* p p))))) (sqrt (sqrt (+ (* x x) (* p (* p 4))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 9.573 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 9.573 * [simplify]: Simplifying (sqrt 1) 9.573 * * [simplify]: iters left: 1 (2 enodes) 9.577 * * [simplify]: Extracting #0: cost 1 inf + 0 9.577 * * [simplify]: Extracting #1: cost 0 inf + 1 9.577 * [simplify]: Simplified to 1 9.577 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* 1 (sqrt (+ (* x x) (* p (* p 4)))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 9.577 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 9.578 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* p 4)) 3))) 9.578 * * [simplify]: iters left: 6 (11 enodes) 9.583 * * [simplify]: iters left: 5 (56 enodes) 9.598 * * [simplify]: iters left: 4 (151 enodes) 9.646 * * [simplify]: iters left: 3 (385 enodes) 9.809 * * [simplify]: Extracting #0: cost 1 inf + 0 9.809 * * [simplify]: Extracting #1: cost 3 inf + 0 9.809 * * [simplify]: Extracting #2: cost 6 inf + 0 9.809 * * [simplify]: Extracting #3: cost 57 inf + 0 9.810 * * [simplify]: Extracting #4: cost 148 inf + 833 9.812 * * [simplify]: Extracting #5: cost 87 inf + 11335 9.817 * * [simplify]: Extracting #6: cost 18 inf + 33431 9.822 * * [simplify]: Extracting #7: cost 0 inf + 38979 9.828 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* p p) (* 64 (* p p))) (* p p)))) 9.828 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* p p) (* 64 (* p p))) (* p p)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* p 4)) (* p (* p 4))) (* (* x x) (* p (* p 4)))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 9.828 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 9.828 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 9.828 * * [simplify]: iters left: 6 (10 enodes) 9.832 * * [simplify]: iters left: 5 (49 enodes) 9.847 * * [simplify]: iters left: 4 (120 enodes) 9.895 * * [simplify]: iters left: 3 (265 enodes) 10.000 * * [simplify]: iters left: 2 (483 enodes) 10.203 * * [simplify]: Extracting #0: cost 1 inf + 0 10.203 * * [simplify]: Extracting #1: cost 3 inf + 0 10.203 * * [simplify]: Extracting #2: cost 32 inf + 0 10.203 * * [simplify]: Extracting #3: cost 117 inf + 0 10.204 * * [simplify]: Extracting #4: cost 149 inf + 1229 10.208 * * [simplify]: Extracting #5: cost 48 inf + 16822 10.216 * * [simplify]: Extracting #6: cost 1 inf + 27670 10.223 * * [simplify]: Extracting #7: cost 0 inf + 27802 10.241 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 10.241 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* p 4)))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 10.241 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 10.241 * [simplify]: Simplifying (+ (* x x) (* p (* p 4))) 10.241 * * [simplify]: iters left: 6 (7 enodes) 10.243 * * [simplify]: iters left: 5 (26 enodes) 10.248 * * [simplify]: iters left: 4 (29 enodes) 10.252 * * [simplify]: Extracting #0: cost 1 inf + 0 10.252 * * [simplify]: Extracting #1: cost 4 inf + 0 10.252 * * [simplify]: Extracting #2: cost 11 inf + 0 10.252 * * [simplify]: Extracting #3: cost 10 inf + 3 10.252 * * [simplify]: Extracting #4: cost 4 inf + 292 10.253 * * [simplify]: Extracting #5: cost 1 inf + 578 10.253 * * [simplify]: Extracting #6: cost 0 inf + 741 10.253 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 10.253 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 10.253 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 10.253 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 10.253 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* p 4)))) 10.254 * * [simplify]: iters left: 6 (8 enodes) 10.256 * * [simplify]: iters left: 5 (29 enodes) 10.260 * * [simplify]: iters left: 4 (32 enodes) 10.269 * * [simplify]: Extracting #0: cost 1 inf + 0 10.269 * * [simplify]: Extracting #1: cost 3 inf + 0 10.269 * * [simplify]: Extracting #2: cost 6 inf + 0 10.269 * * [simplify]: Extracting #3: cost 13 inf + 0 10.269 * * [simplify]: Extracting #4: cost 10 inf + 126 10.269 * * [simplify]: Extracting #5: cost 5 inf + 374 10.270 * * [simplify]: Extracting #6: cost 1 inf + 944 10.270 * * [simplify]: Extracting #7: cost 0 inf + 1147 10.270 * [simplify]: Simplified to (sqrt (+ (* x x) (* (* p p) 4))) 10.270 * [simplify]: Simplified (2 1 1 1 1 2 1 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (fabs (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 10.270 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 10.270 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* p 4))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))> 10.270 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 10.271 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 10.271 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 10.271 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 10.271 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 10.271 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 10.271 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 10.271 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 10.271 * * [simplify]: iters left: 6 (10 enodes) 10.274 * * [simplify]: iters left: 5 (34 enodes) 10.279 * * [simplify]: iters left: 4 (37 enodes) 10.285 * * [simplify]: iters left: 3 (39 enodes) 10.290 * * [simplify]: Extracting #0: cost 1 inf + 0 10.290 * * [simplify]: Extracting #1: cost 4 inf + 0 10.290 * * [simplify]: Extracting #2: cost 7 inf + 0 10.291 * * [simplify]: Extracting #3: cost 10 inf + 0 10.291 * * [simplify]: Extracting #4: cost 17 inf + 0 10.291 * * [simplify]: Extracting #5: cost 16 inf + 3 10.291 * * [simplify]: Extracting #6: cost 9 inf + 373 10.291 * * [simplify]: Extracting #7: cost 4 inf + 1267 10.291 * * [simplify]: Extracting #8: cost 0 inf + 2359 10.292 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 10.292 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))))) 10.292 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 10.292 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 10.292 * * [simplify]: iters left: 6 (9 enodes) 10.295 * * [simplify]: iters left: 5 (30 enodes) 10.302 * * [simplify]: iters left: 4 (33 enodes) 10.312 * * [simplify]: iters left: 3 (35 enodes) 10.317 * * [simplify]: Extracting #0: cost 1 inf + 0 10.317 * * [simplify]: Extracting #1: cost 3 inf + 0 10.317 * * [simplify]: Extracting #2: cost 5 inf + 0 10.317 * * [simplify]: Extracting #3: cost 8 inf + 0 10.317 * * [simplify]: Extracting #4: cost 15 inf + 0 10.317 * * [simplify]: Extracting #5: cost 13 inf + 44 10.318 * * [simplify]: Extracting #6: cost 8 inf + 291 10.318 * * [simplify]: Extracting #7: cost 4 inf + 781 10.318 * * [simplify]: Extracting #8: cost 0 inf + 1633 10.318 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 10.318 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))))) 10.319 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 10.319 * [simplify]: Simplifying (sqrt 1) 10.319 * * [simplify]: iters left: 1 (2 enodes) 10.321 * * [simplify]: Extracting #0: cost 1 inf + 0 10.321 * * [simplify]: Extracting #1: cost 0 inf + 1 10.321 * [simplify]: Simplified to 1 10.321 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))))) 10.321 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 10.321 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 10.321 * * [simplify]: iters left: 6 (11 enodes) 10.325 * * [simplify]: iters left: 5 (54 enodes) 10.341 * * [simplify]: iters left: 4 (135 enodes) 10.384 * * [simplify]: iters left: 3 (325 enodes) 10.501 * * [simplify]: Extracting #0: cost 1 inf + 0 10.501 * * [simplify]: Extracting #1: cost 3 inf + 0 10.501 * * [simplify]: Extracting #2: cost 6 inf + 0 10.502 * * [simplify]: Extracting #3: cost 50 inf + 0 10.503 * * [simplify]: Extracting #4: cost 136 inf + 1171 10.507 * * [simplify]: Extracting #5: cost 93 inf + 8781 10.515 * * [simplify]: Extracting #6: cost 26 inf + 27825 10.525 * * [simplify]: Extracting #7: cost 5 inf + 35083 10.534 * * [simplify]: Extracting #8: cost 0 inf + 36927 10.540 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 10.540 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))))) 0.5)))))) 10.540 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 10.540 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 10.540 * * [simplify]: iters left: 6 (10 enodes) 10.544 * * [simplify]: iters left: 5 (48 enodes) 10.554 * * [simplify]: iters left: 4 (113 enodes) 10.584 * * [simplify]: iters left: 3 (257 enodes) 10.667 * * [simplify]: iters left: 2 (483 enodes) 10.834 * * [simplify]: Extracting #0: cost 1 inf + 0 10.834 * * [simplify]: Extracting #1: cost 3 inf + 0 10.834 * * [simplify]: Extracting #2: cost 32 inf + 0 10.835 * * [simplify]: Extracting #3: cost 118 inf + 0 10.836 * * [simplify]: Extracting #4: cost 142 inf + 2127 10.842 * * [simplify]: Extracting #5: cost 56 inf + 15017 10.850 * * [simplify]: Extracting #6: cost 2 inf + 27529 10.858 * * [simplify]: Extracting #7: cost 0 inf + 27895 10.867 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 10.867 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* 4 p))))))) 0.5)))))) 10.868 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 10.868 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 10.869 * * [simplify]: iters left: 6 (7 enodes) 10.872 * * [simplify]: iters left: 5 (24 enodes) 10.880 * * [simplify]: iters left: 4 (27 enodes) 10.888 * * [simplify]: iters left: 3 (29 enodes) 10.897 * * [simplify]: Extracting #0: cost 1 inf + 0 10.897 * * [simplify]: Extracting #1: cost 4 inf + 0 10.897 * * [simplify]: Extracting #2: cost 11 inf + 0 10.897 * * [simplify]: Extracting #3: cost 10 inf + 3 10.897 * * [simplify]: Extracting #4: cost 4 inf + 292 10.897 * * [simplify]: Extracting #5: cost 1 inf + 578 10.897 * * [simplify]: Extracting #6: cost 0 inf + 741 10.897 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 10.898 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) 0.5)))))) 10.898 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 10.898 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 10.898 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 10.898 * * [simplify]: iters left: 6 (8 enodes) 10.904 * * [simplify]: iters left: 5 (27 enodes) 10.908 * * [simplify]: iters left: 4 (30 enodes) 10.913 * * [simplify]: iters left: 3 (32 enodes) 10.918 * * [simplify]: Extracting #0: cost 1 inf + 0 10.919 * * [simplify]: Extracting #1: cost 3 inf + 0 10.919 * * [simplify]: Extracting #2: cost 6 inf + 0 10.919 * * [simplify]: Extracting #3: cost 13 inf + 0 10.919 * * [simplify]: Extracting #4: cost 10 inf + 126 10.919 * * [simplify]: Extracting #5: cost 5 inf + 374 10.919 * * [simplify]: Extracting #6: cost 1 inf + 944 10.919 * * [simplify]: Extracting #7: cost 0 inf + 1147 10.919 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 10.919 * [simplify]: Simplified (2 2 1 2 2 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p p))))))) 0.5)))))) 10.920 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5))))))> 10.920 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 10.920 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 10.920 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 10.921 * * [simplify]: iters left: 6 (10 enodes) 10.923 * * [simplify]: iters left: 5 (34 enodes) 10.929 * * [simplify]: iters left: 4 (37 enodes) 10.935 * * [simplify]: iters left: 3 (39 enodes) 10.945 * * [simplify]: Extracting #0: cost 1 inf + 0 10.945 * * [simplify]: Extracting #1: cost 4 inf + 0 10.945 * * [simplify]: Extracting #2: cost 7 inf + 0 10.945 * * [simplify]: Extracting #3: cost 10 inf + 0 10.945 * * [simplify]: Extracting #4: cost 17 inf + 0 10.946 * * [simplify]: Extracting #5: cost 16 inf + 3 10.946 * * [simplify]: Extracting #6: cost 9 inf + 373 10.946 * * [simplify]: Extracting #7: cost 4 inf + 1267 10.947 * * [simplify]: Extracting #8: cost 0 inf + 2359 10.948 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 10.948 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 10.949 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 10.949 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 10.949 * * [simplify]: iters left: 6 (9 enodes) 10.954 * * [simplify]: iters left: 5 (30 enodes) 10.963 * * [simplify]: iters left: 4 (33 enodes) 10.973 * * [simplify]: iters left: 3 (35 enodes) 10.983 * * [simplify]: Extracting #0: cost 1 inf + 0 10.983 * * [simplify]: Extracting #1: cost 3 inf + 0 10.983 * * [simplify]: Extracting #2: cost 5 inf + 0 10.983 * * [simplify]: Extracting #3: cost 8 inf + 0 10.984 * * [simplify]: Extracting #4: cost 15 inf + 0 10.984 * * [simplify]: Extracting #5: cost 13 inf + 44 10.984 * * [simplify]: Extracting #6: cost 8 inf + 291 10.984 * * [simplify]: Extracting #7: cost 4 inf + 781 10.985 * * [simplify]: Extracting #8: cost 0 inf + 1633 10.985 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 10.985 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 10.986 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 10.986 * [simplify]: Simplifying (sqrt 1) 10.986 * * [simplify]: iters left: 1 (2 enodes) 10.990 * * [simplify]: Extracting #0: cost 1 inf + 0 10.990 * * [simplify]: Extracting #1: cost 0 inf + 1 10.990 * [simplify]: Simplified to 1 10.990 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 10.990 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 10.990 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 10.991 * * [simplify]: iters left: 6 (11 enodes) 10.995 * * [simplify]: iters left: 5 (54 enodes) 11.010 * * [simplify]: iters left: 4 (135 enodes) 11.073 * * [simplify]: iters left: 3 (325 enodes) 11.182 * * [simplify]: Extracting #0: cost 1 inf + 0 11.182 * * [simplify]: Extracting #1: cost 3 inf + 0 11.182 * * [simplify]: Extracting #2: cost 6 inf + 0 11.182 * * [simplify]: Extracting #3: cost 50 inf + 0 11.183 * * [simplify]: Extracting #4: cost 136 inf + 1171 11.187 * * [simplify]: Extracting #5: cost 93 inf + 8781 11.191 * * [simplify]: Extracting #6: cost 26 inf + 27825 11.196 * * [simplify]: Extracting #7: cost 5 inf + 35083 11.201 * * [simplify]: Extracting #8: cost 0 inf + 36927 11.206 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 11.206 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p)))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 11.206 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 11.206 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 11.206 * * [simplify]: iters left: 6 (10 enodes) 11.210 * * [simplify]: iters left: 5 (48 enodes) 11.220 * * [simplify]: iters left: 4 (113 enodes) 11.247 * * [simplify]: iters left: 3 (257 enodes) 11.334 * * [simplify]: iters left: 2 (483 enodes) 11.529 * * [simplify]: Extracting #0: cost 1 inf + 0 11.529 * * [simplify]: Extracting #1: cost 3 inf + 0 11.529 * * [simplify]: Extracting #2: cost 32 inf + 0 11.529 * * [simplify]: Extracting #3: cost 118 inf + 0 11.530 * * [simplify]: Extracting #4: cost 142 inf + 2127 11.536 * * [simplify]: Extracting #5: cost 56 inf + 15017 11.550 * * [simplify]: Extracting #6: cost 2 inf + 27529 11.565 * * [simplify]: Extracting #7: cost 0 inf + 27895 11.581 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 11.581 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* 4 p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 11.582 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 11.582 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 11.582 * * [simplify]: iters left: 6 (7 enodes) 11.587 * * [simplify]: iters left: 5 (24 enodes) 11.594 * * [simplify]: iters left: 4 (27 enodes) 11.603 * * [simplify]: iters left: 3 (29 enodes) 11.612 * * [simplify]: Extracting #0: cost 1 inf + 0 11.612 * * [simplify]: Extracting #1: cost 4 inf + 0 11.612 * * [simplify]: Extracting #2: cost 11 inf + 0 11.612 * * [simplify]: Extracting #3: cost 10 inf + 3 11.612 * * [simplify]: Extracting #4: cost 4 inf + 292 11.612 * * [simplify]: Extracting #5: cost 1 inf + 578 11.613 * * [simplify]: Extracting #6: cost 0 inf + 741 11.613 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 11.613 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 11.614 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 11.614 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 11.614 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 11.614 * * [simplify]: iters left: 6 (8 enodes) 11.618 * * [simplify]: iters left: 5 (27 enodes) 11.627 * * [simplify]: iters left: 4 (30 enodes) 11.636 * * [simplify]: iters left: 3 (32 enodes) 11.649 * * [simplify]: Extracting #0: cost 1 inf + 0 11.649 * * [simplify]: Extracting #1: cost 3 inf + 0 11.650 * * [simplify]: Extracting #2: cost 6 inf + 0 11.650 * * [simplify]: Extracting #3: cost 13 inf + 0 11.650 * * [simplify]: Extracting #4: cost 10 inf + 126 11.650 * * [simplify]: Extracting #5: cost 5 inf + 374 11.650 * * [simplify]: Extracting #6: cost 1 inf + 944 11.651 * * [simplify]: Extracting #7: cost 0 inf + 1147 11.651 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 11.651 * [simplify]: Simplified (2 2 1 1 2 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 11.652 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 11.652 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))> 11.652 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 11.652 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 11.652 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 11.652 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 11.652 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 11.652 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 11.653 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 11.653 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 11.653 * * [simplify]: iters left: 6 (10 enodes) 11.658 * * [simplify]: iters left: 5 (34 enodes) 11.668 * * [simplify]: iters left: 4 (37 enodes) 11.674 * * [simplify]: iters left: 3 (39 enodes) 11.680 * * [simplify]: Extracting #0: cost 1 inf + 0 11.680 * * [simplify]: Extracting #1: cost 4 inf + 0 11.680 * * [simplify]: Extracting #2: cost 7 inf + 0 11.680 * * [simplify]: Extracting #3: cost 10 inf + 0 11.680 * * [simplify]: Extracting #4: cost 17 inf + 0 11.681 * * [simplify]: Extracting #5: cost 16 inf + 3 11.681 * * [simplify]: Extracting #6: cost 9 inf + 373 11.681 * * [simplify]: Extracting #7: cost 4 inf + 1267 11.681 * * [simplify]: Extracting #8: cost 0 inf + 2359 11.682 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 11.682 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* 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)))))) 11.682 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 11.682 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 11.682 * * [simplify]: iters left: 6 (9 enodes) 11.685 * * [simplify]: iters left: 5 (30 enodes) 11.690 * * [simplify]: iters left: 4 (33 enodes) 11.698 * * [simplify]: iters left: 3 (35 enodes) 11.708 * * [simplify]: Extracting #0: cost 1 inf + 0 11.708 * * [simplify]: Extracting #1: cost 3 inf + 0 11.708 * * [simplify]: Extracting #2: cost 5 inf + 0 11.708 * * [simplify]: Extracting #3: cost 8 inf + 0 11.708 * * [simplify]: Extracting #4: cost 15 inf + 0 11.708 * * [simplify]: Extracting #5: cost 13 inf + 44 11.709 * * [simplify]: Extracting #6: cost 8 inf + 291 11.709 * * [simplify]: Extracting #7: cost 4 inf + 781 11.710 * * [simplify]: Extracting #8: cost 0 inf + 1633 11.710 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 11.710 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (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)))))) 11.711 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 11.711 * [simplify]: Simplifying (sqrt 1) 11.711 * * [simplify]: iters left: 1 (2 enodes) 11.714 * * [simplify]: Extracting #0: cost 1 inf + 0 11.715 * * [simplify]: Extracting #1: cost 0 inf + 1 11.715 * [simplify]: Simplified to 1 11.715 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* 1 (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)))))) 11.715 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 11.715 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 11.716 * * [simplify]: iters left: 6 (11 enodes) 11.722 * * [simplify]: iters left: 5 (54 enodes) 11.747 * * [simplify]: iters left: 4 (135 enodes) 11.797 * * [simplify]: iters left: 3 (325 enodes) 11.945 * * [simplify]: Extracting #0: cost 1 inf + 0 11.945 * * [simplify]: Extracting #1: cost 3 inf + 0 11.945 * * [simplify]: Extracting #2: cost 6 inf + 0 11.946 * * [simplify]: Extracting #3: cost 50 inf + 0 11.946 * * [simplify]: Extracting #4: cost 136 inf + 1171 11.950 * * [simplify]: Extracting #5: cost 93 inf + 8781 11.954 * * [simplify]: Extracting #6: cost 26 inf + 27825 11.959 * * [simplify]: Extracting #7: cost 5 inf + 35083 11.966 * * [simplify]: Extracting #8: cost 0 inf + 36927 11.971 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 11.971 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* 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)))))) 11.972 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 11.972 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 11.972 * * [simplify]: iters left: 6 (10 enodes) 11.978 * * [simplify]: iters left: 5 (48 enodes) 11.993 * * [simplify]: iters left: 4 (113 enodes) 12.026 * * [simplify]: iters left: 3 (257 enodes) 12.107 * * [simplify]: iters left: 2 (483 enodes) 12.240 * * [simplify]: Extracting #0: cost 1 inf + 0 12.240 * * [simplify]: Extracting #1: cost 3 inf + 0 12.240 * * [simplify]: Extracting #2: cost 32 inf + 0 12.240 * * [simplify]: Extracting #3: cost 118 inf + 0 12.241 * * [simplify]: Extracting #4: cost 142 inf + 2127 12.245 * * [simplify]: Extracting #5: cost 56 inf + 15017 12.252 * * [simplify]: Extracting #6: cost 2 inf + 27529 12.260 * * [simplify]: Extracting #7: cost 0 inf + 27895 12.267 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 12.267 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (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)))))) 12.267 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 12.268 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 12.268 * * [simplify]: iters left: 6 (7 enodes) 12.270 * * [simplify]: iters left: 5 (24 enodes) 12.274 * * [simplify]: iters left: 4 (27 enodes) 12.278 * * [simplify]: iters left: 3 (29 enodes) 12.282 * * [simplify]: Extracting #0: cost 1 inf + 0 12.282 * * [simplify]: Extracting #1: cost 4 inf + 0 12.282 * * [simplify]: Extracting #2: cost 11 inf + 0 12.282 * * [simplify]: Extracting #3: cost 10 inf + 3 12.282 * * [simplify]: Extracting #4: cost 4 inf + 292 12.282 * * [simplify]: Extracting #5: cost 1 inf + 578 12.283 * * [simplify]: Extracting #6: cost 0 inf + 741 12.283 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 12.283 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.283 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 12.283 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 12.283 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 12.283 * * [simplify]: iters left: 6 (8 enodes) 12.286 * * [simplify]: iters left: 5 (27 enodes) 12.290 * * [simplify]: iters left: 4 (30 enodes) 12.295 * * [simplify]: iters left: 3 (32 enodes) 12.300 * * [simplify]: Extracting #0: cost 1 inf + 0 12.300 * * [simplify]: Extracting #1: cost 3 inf + 0 12.300 * * [simplify]: Extracting #2: cost 6 inf + 0 12.300 * * [simplify]: Extracting #3: cost 13 inf + 0 12.300 * * [simplify]: Extracting #4: cost 10 inf + 126 12.300 * * [simplify]: Extracting #5: cost 5 inf + 374 12.300 * * [simplify]: Extracting #6: cost 1 inf + 944 12.300 * * [simplify]: Extracting #7: cost 0 inf + 1147 12.301 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 12.301 * [simplify]: Simplified (2 2 1 1 1 2 2 1) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p 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)))))) 12.301 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 12.301 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (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))))))> 12.301 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 12.301 * [simplify]: Simplifying (* 2 p) 12.301 * * [simplify]: iters left: 2 (3 enodes) 12.302 * * [simplify]: iters left: 1 (10 enodes) 12.304 * * [simplify]: Extracting #0: cost 1 inf + 0 12.304 * * [simplify]: Extracting #1: cost 4 inf + 0 12.304 * * [simplify]: Extracting #2: cost 2 inf + 2 12.304 * * [simplify]: Extracting #3: cost 0 inf + 86 12.304 * [simplify]: Simplified to (* 2 p) 12.304 * [simplify]: Simplified (2 1 1 1 1 2 1 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* 2 p)) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.304 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 12.304 * [simplify]: Simplifying x 12.305 * * [simplify]: iters left: 0 (1 enodes) 12.305 * * [simplify]: Extracting #0: cost 1 inf + 0 12.305 * * [simplify]: Extracting #1: cost 0 inf + 1 12.305 * [simplify]: Simplified to x 12.305 * [simplify]: Simplified (2 1 1 1 1 2 1 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) x) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.305 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 12.305 * [simplify]: Simplifying (* -1 x) 12.305 * * [simplify]: iters left: 2 (3 enodes) 12.306 * * [simplify]: iters left: 1 (11 enodes) 12.308 * * [simplify]: Extracting #0: cost 1 inf + 0 12.308 * * [simplify]: Extracting #1: cost 4 inf + 0 12.308 * * [simplify]: Extracting #2: cost 0 inf + 84 12.308 * [simplify]: Simplified to (- x) 12.308 * [simplify]: Simplified (2 1 1 1 1 2 1 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (- x)) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.308 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 12.308 * [simplify]: Simplifying (* 2 p) 12.309 * * [simplify]: iters left: 2 (3 enodes) 12.309 * * [simplify]: iters left: 1 (10 enodes) 12.313 * * [simplify]: Extracting #0: cost 1 inf + 0 12.313 * * [simplify]: Extracting #1: cost 4 inf + 0 12.313 * * [simplify]: Extracting #2: cost 2 inf + 2 12.313 * * [simplify]: Extracting #3: cost 0 inf + 86 12.313 * [simplify]: Simplified to (* 2 p) 12.313 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* 2 p))) 0.5)))))) 12.313 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 12.314 * [simplify]: Simplifying x 12.314 * * [simplify]: iters left: 0 (1 enodes) 12.314 * * [simplify]: Extracting #0: cost 1 inf + 0 12.314 * * [simplify]: Extracting #1: cost 0 inf + 1 12.314 * [simplify]: Simplified to x 12.314 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x x)) 0.5)))))) 12.314 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 12.314 * [simplify]: Simplifying (* -1 x) 12.314 * * [simplify]: iters left: 2 (3 enodes) 12.315 * * [simplify]: iters left: 1 (11 enodes) 12.317 * * [simplify]: Extracting #0: cost 1 inf + 0 12.317 * * [simplify]: Extracting #1: cost 4 inf + 0 12.317 * * [simplify]: Extracting #2: cost 0 inf + 84 12.317 * [simplify]: Simplified to (- x) 12.317 * [simplify]: Simplified (2 2 1 2 2 1 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (- x))) 0.5)))))) 12.318 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 12.318 * [simplify]: Simplifying (* 2 p) 12.318 * * [simplify]: iters left: 2 (3 enodes) 12.319 * * [simplify]: iters left: 1 (10 enodes) 12.321 * * [simplify]: Extracting #0: cost 1 inf + 0 12.321 * * [simplify]: Extracting #1: cost 4 inf + 0 12.321 * * [simplify]: Extracting #2: cost 2 inf + 2 12.321 * * [simplify]: Extracting #3: cost 0 inf + 86 12.321 * [simplify]: Simplified to (* 2 p) 12.321 * [simplify]: Simplified (2 2 1 1 2 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* 2 p)))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.321 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 12.321 * [simplify]: Simplifying x 12.321 * * [simplify]: iters left: 0 (1 enodes) 12.321 * * [simplify]: Extracting #0: cost 1 inf + 0 12.321 * * [simplify]: Extracting #1: cost 0 inf + 1 12.321 * [simplify]: Simplified to x 12.322 * [simplify]: Simplified (2 2 1 1 2 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x x))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.322 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 12.322 * [simplify]: Simplifying (* -1 x) 12.322 * * [simplify]: iters left: 2 (3 enodes) 12.323 * * [simplify]: iters left: 1 (11 enodes) 12.325 * * [simplify]: Extracting #0: cost 1 inf + 0 12.325 * * [simplify]: Extracting #1: cost 4 inf + 0 12.325 * * [simplify]: Extracting #2: cost 0 inf + 84 12.325 * [simplify]: Simplified to (- x) 12.325 * [simplify]: Simplified (2 2 1 1 2 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (- x)))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.325 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 12.326 * [simplify]: Simplifying (* 2 p) 12.326 * * [simplify]: iters left: 2 (3 enodes) 12.327 * * [simplify]: iters left: 1 (10 enodes) 12.328 * * [simplify]: Extracting #0: cost 1 inf + 0 12.328 * * [simplify]: Extracting #1: cost 4 inf + 0 12.328 * * [simplify]: Extracting #2: cost 2 inf + 2 12.328 * * [simplify]: Extracting #3: cost 0 inf + 86 12.328 * [simplify]: Simplified to (* 2 p) 12.328 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* 2 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)))))) 12.329 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 12.329 * [simplify]: Simplifying x 12.329 * * [simplify]: iters left: 0 (1 enodes) 12.329 * * [simplify]: Extracting #0: cost 1 inf + 0 12.329 * * [simplify]: Extracting #1: cost 0 inf + 1 12.329 * [simplify]: Simplified to x 12.329 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x x)) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.329 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 12.330 * [simplify]: Simplifying (* -1 x) 12.330 * * [simplify]: iters left: 2 (3 enodes) 12.331 * * [simplify]: iters left: 1 (11 enodes) 12.332 * * [simplify]: Extracting #0: cost 1 inf + 0 12.332 * * [simplify]: Extracting #1: cost 4 inf + 0 12.332 * * [simplify]: Extracting #2: cost 0 inf + 84 12.332 * [simplify]: Simplified to (- x) 12.332 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (p x) (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (- x))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))) 12.333 * * * [progress]: adding candidates to table 13.638 * * [progress]: iteration 4 / 4 13.638 * * * [progress]: picking best candidate 13.722 * * * * [pick]: Picked # 13.723 * * * [progress]: localizing error 13.817 * * * [progress]: generating rewritten candidates 13.817 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1 2 1 2) 13.828 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 2 1 2 2) 13.838 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 2 2 2) 13.844 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 1 2 2) 13.855 * * * [progress]: generating series expansions 13.855 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1 2 1 2) 13.856 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* p 4)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 13.856 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 13.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 13.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 13.856 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.856 * [taylor]: Taking taylor expansion of x in p 13.856 * [backup-simplify]: Simplify x into x 13.856 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 13.856 * [taylor]: Taking taylor expansion of 4 in p 13.856 * [backup-simplify]: Simplify 4 into 4 13.856 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.856 * [taylor]: Taking taylor expansion of p in p 13.856 * [backup-simplify]: Simplify 0 into 0 13.856 * [backup-simplify]: Simplify 1 into 1 13.856 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.856 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.856 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.856 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.857 * [backup-simplify]: Simplify (+ 0 0) into 0 13.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 13.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 13.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.857 * [taylor]: Taking taylor expansion of x in x 13.857 * [backup-simplify]: Simplify 0 into 0 13.857 * [backup-simplify]: Simplify 1 into 1 13.857 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 13.858 * [taylor]: Taking taylor expansion of 4 in x 13.858 * [backup-simplify]: Simplify 4 into 4 13.858 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.858 * [taylor]: Taking taylor expansion of p in x 13.858 * [backup-simplify]: Simplify p into p 13.858 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.858 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 13.858 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 13.858 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 13.858 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.859 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 13.859 * [backup-simplify]: Simplify (+ 0 0) into 0 13.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 13.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 13.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 13.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.859 * [taylor]: Taking taylor expansion of x in x 13.859 * [backup-simplify]: Simplify 0 into 0 13.859 * [backup-simplify]: Simplify 1 into 1 13.859 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 13.860 * [taylor]: Taking taylor expansion of 4 in x 13.860 * [backup-simplify]: Simplify 4 into 4 13.860 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.860 * [taylor]: Taking taylor expansion of p in x 13.860 * [backup-simplify]: Simplify p into p 13.860 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.860 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 13.860 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 13.860 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 13.860 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.861 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 13.861 * [backup-simplify]: Simplify (+ 0 0) into 0 13.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 13.861 * [taylor]: Taking taylor expansion of (* 2 p) in p 13.861 * [taylor]: Taking taylor expansion of 2 in p 13.861 * [backup-simplify]: Simplify 2 into 2 13.861 * [taylor]: Taking taylor expansion of p in p 13.861 * [backup-simplify]: Simplify 0 into 0 13.861 * [backup-simplify]: Simplify 1 into 1 13.862 * [backup-simplify]: Simplify (* 2 0) into 0 13.862 * [backup-simplify]: Simplify 0 into 0 13.862 * [taylor]: Taking taylor expansion of 0 in p 13.862 * [backup-simplify]: Simplify 0 into 0 13.862 * [backup-simplify]: Simplify 0 into 0 13.863 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 13.863 * [backup-simplify]: Simplify 2 into 2 13.863 * [backup-simplify]: Simplify (* 1 1) into 1 13.864 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 13.865 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 13.865 * [backup-simplify]: Simplify (+ 1 0) into 1 13.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 13.866 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 13.866 * [taylor]: Taking taylor expansion of 1/4 in p 13.866 * [backup-simplify]: Simplify 1/4 into 1/4 13.866 * [taylor]: Taking taylor expansion of p in p 13.866 * [backup-simplify]: Simplify 0 into 0 13.866 * [backup-simplify]: Simplify 1 into 1 13.867 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 13.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 13.868 * [backup-simplify]: Simplify 0 into 0 13.868 * [backup-simplify]: Simplify 0 into 0 13.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 13.869 * [backup-simplify]: Simplify 0 into 0 13.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.870 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 13.872 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 13.872 * [backup-simplify]: Simplify (+ 0 0) into 0 13.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 13.872 * [taylor]: Taking taylor expansion of 0 in p 13.872 * [backup-simplify]: Simplify 0 into 0 13.872 * [backup-simplify]: Simplify 0 into 0 13.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.873 * [backup-simplify]: Simplify 0 into 0 13.873 * [backup-simplify]: Simplify 0 into 0 13.873 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 13.874 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* (/ 1 p) 4)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 13.874 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 13.874 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 13.874 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 13.874 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 13.874 * [taylor]: Taking taylor expansion of 4 in p 13.874 * [backup-simplify]: Simplify 4 into 4 13.874 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 13.874 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.874 * [taylor]: Taking taylor expansion of p in p 13.874 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify 1 into 1 13.874 * [backup-simplify]: Simplify (* 1 1) into 1 13.875 * [backup-simplify]: Simplify (/ 1 1) into 1 13.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 13.875 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.875 * [taylor]: Taking taylor expansion of x in p 13.875 * [backup-simplify]: Simplify x into x 13.875 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.875 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.876 * [backup-simplify]: Simplify (* 4 1) into 4 13.876 * [backup-simplify]: Simplify (+ 4 0) into 4 13.876 * [backup-simplify]: Simplify (sqrt 4) into 2 13.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.878 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.878 * [backup-simplify]: Simplify (+ 0 0) into 0 13.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 13.878 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.878 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.879 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.879 * [taylor]: Taking taylor expansion of 4 in x 13.879 * [backup-simplify]: Simplify 4 into 4 13.879 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.879 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.879 * [taylor]: Taking taylor expansion of p in x 13.879 * [backup-simplify]: Simplify p into p 13.879 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.879 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.879 * [taylor]: Taking taylor expansion of x in x 13.879 * [backup-simplify]: Simplify 0 into 0 13.879 * [backup-simplify]: Simplify 1 into 1 13.879 * [backup-simplify]: Simplify (* 1 1) into 1 13.879 * [backup-simplify]: Simplify (/ 1 1) into 1 13.880 * [backup-simplify]: Simplify (+ 0 1) into 1 13.880 * [backup-simplify]: Simplify (sqrt 1) into 1 13.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.881 * [backup-simplify]: Simplify (+ 0 0) into 0 13.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.881 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.881 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.881 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.881 * [taylor]: Taking taylor expansion of 4 in x 13.881 * [backup-simplify]: Simplify 4 into 4 13.881 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.881 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.881 * [taylor]: Taking taylor expansion of p in x 13.881 * [backup-simplify]: Simplify p into p 13.881 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.882 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.882 * [taylor]: Taking taylor expansion of x in x 13.882 * [backup-simplify]: Simplify 0 into 0 13.882 * [backup-simplify]: Simplify 1 into 1 13.882 * [backup-simplify]: Simplify (* 1 1) into 1 13.882 * [backup-simplify]: Simplify (/ 1 1) into 1 13.882 * [backup-simplify]: Simplify (+ 0 1) into 1 13.883 * [backup-simplify]: Simplify (sqrt 1) into 1 13.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.884 * [backup-simplify]: Simplify (+ 0 0) into 0 13.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.884 * [taylor]: Taking taylor expansion of 1 in p 13.884 * [backup-simplify]: Simplify 1 into 1 13.884 * [taylor]: Taking taylor expansion of 0 in p 13.884 * [backup-simplify]: Simplify 0 into 0 13.884 * [backup-simplify]: Simplify 1 into 1 13.884 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 13.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.886 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 13.886 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 13.886 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 13.886 * [taylor]: Taking taylor expansion of 2 in p 13.886 * [backup-simplify]: Simplify 2 into 2 13.886 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.886 * [taylor]: Taking taylor expansion of p in p 13.886 * [backup-simplify]: Simplify 0 into 0 13.886 * [backup-simplify]: Simplify 1 into 1 13.887 * [backup-simplify]: Simplify (* 1 1) into 1 13.887 * [backup-simplify]: Simplify (/ 2 1) into 2 13.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 13.888 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 13.888 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 13.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.890 * [backup-simplify]: Simplify (+ 0 0) into 0 13.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 13.890 * [taylor]: Taking taylor expansion of 0 in p 13.890 * [backup-simplify]: Simplify 0 into 0 13.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.891 * [backup-simplify]: Simplify 0 into 0 13.891 * [backup-simplify]: Simplify 0 into 0 13.891 * [backup-simplify]: Simplify 0 into 0 13.892 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.892 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* (/ 1 (- p)) 4)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 13.892 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 13.892 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 13.892 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 13.892 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 13.892 * [taylor]: Taking taylor expansion of 4 in p 13.892 * [backup-simplify]: Simplify 4 into 4 13.892 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 13.892 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.892 * [taylor]: Taking taylor expansion of p in p 13.892 * [backup-simplify]: Simplify 0 into 0 13.892 * [backup-simplify]: Simplify 1 into 1 13.892 * [backup-simplify]: Simplify (* 1 1) into 1 13.892 * [backup-simplify]: Simplify (/ 1 1) into 1 13.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 13.892 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.892 * [taylor]: Taking taylor expansion of x in p 13.892 * [backup-simplify]: Simplify x into x 13.893 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.893 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.893 * [backup-simplify]: Simplify (* 4 1) into 4 13.893 * [backup-simplify]: Simplify (+ 4 0) into 4 13.893 * [backup-simplify]: Simplify (sqrt 4) into 2 13.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.895 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.895 * [backup-simplify]: Simplify (+ 0 0) into 0 13.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 13.895 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.895 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.895 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.895 * [taylor]: Taking taylor expansion of 4 in x 13.895 * [backup-simplify]: Simplify 4 into 4 13.895 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.895 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.895 * [taylor]: Taking taylor expansion of p in x 13.895 * [backup-simplify]: Simplify p into p 13.896 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.896 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.896 * [taylor]: Taking taylor expansion of x in x 13.896 * [backup-simplify]: Simplify 0 into 0 13.896 * [backup-simplify]: Simplify 1 into 1 13.896 * [backup-simplify]: Simplify (* 1 1) into 1 13.896 * [backup-simplify]: Simplify (/ 1 1) into 1 13.896 * [backup-simplify]: Simplify (+ 0 1) into 1 13.897 * [backup-simplify]: Simplify (sqrt 1) into 1 13.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.898 * [backup-simplify]: Simplify (+ 0 0) into 0 13.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.898 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.898 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.898 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.898 * [taylor]: Taking taylor expansion of 4 in x 13.898 * [backup-simplify]: Simplify 4 into 4 13.898 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.898 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.898 * [taylor]: Taking taylor expansion of p in x 13.898 * [backup-simplify]: Simplify p into p 13.898 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.898 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.898 * [taylor]: Taking taylor expansion of x in x 13.898 * [backup-simplify]: Simplify 0 into 0 13.898 * [backup-simplify]: Simplify 1 into 1 13.900 * [backup-simplify]: Simplify (* 1 1) into 1 13.901 * [backup-simplify]: Simplify (/ 1 1) into 1 13.901 * [backup-simplify]: Simplify (+ 0 1) into 1 13.901 * [backup-simplify]: Simplify (sqrt 1) into 1 13.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.902 * [backup-simplify]: Simplify (+ 0 0) into 0 13.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.903 * [taylor]: Taking taylor expansion of 1 in p 13.903 * [backup-simplify]: Simplify 1 into 1 13.903 * [taylor]: Taking taylor expansion of 0 in p 13.903 * [backup-simplify]: Simplify 0 into 0 13.903 * [backup-simplify]: Simplify 1 into 1 13.903 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 13.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.904 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 13.905 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 13.905 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 13.905 * [taylor]: Taking taylor expansion of 2 in p 13.905 * [backup-simplify]: Simplify 2 into 2 13.905 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.905 * [taylor]: Taking taylor expansion of p in p 13.905 * [backup-simplify]: Simplify 0 into 0 13.905 * [backup-simplify]: Simplify 1 into 1 13.905 * [backup-simplify]: Simplify (* 1 1) into 1 13.906 * [backup-simplify]: Simplify (/ 2 1) into 2 13.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 13.907 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 13.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.908 * [backup-simplify]: Simplify (+ 0 0) into 0 13.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 13.909 * [taylor]: Taking taylor expansion of 0 in p 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.910 * [backup-simplify]: Simplify 0 into 0 13.910 * [backup-simplify]: Simplify 0 into 0 13.910 * [backup-simplify]: Simplify 0 into 0 13.910 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 13.910 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 2 1 2 2) 13.910 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 13.910 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 13.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 13.910 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 13.910 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.910 * [taylor]: Taking taylor expansion of x in p 13.910 * [backup-simplify]: Simplify x into x 13.910 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 13.910 * [taylor]: Taking taylor expansion of 4 in p 13.911 * [backup-simplify]: Simplify 4 into 4 13.911 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.911 * [taylor]: Taking taylor expansion of p in p 13.911 * [backup-simplify]: Simplify 0 into 0 13.911 * [backup-simplify]: Simplify 1 into 1 13.911 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.911 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.911 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.911 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.911 * [backup-simplify]: Simplify (+ 0 0) into 0 13.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 13.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 13.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.911 * [taylor]: Taking taylor expansion of x in x 13.911 * [backup-simplify]: Simplify 0 into 0 13.911 * [backup-simplify]: Simplify 1 into 1 13.911 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 13.911 * [taylor]: Taking taylor expansion of 4 in x 13.911 * [backup-simplify]: Simplify 4 into 4 13.911 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.911 * [taylor]: Taking taylor expansion of p in x 13.911 * [backup-simplify]: Simplify p into p 13.911 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.911 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 13.911 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 13.911 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 13.912 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.912 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 13.912 * [backup-simplify]: Simplify (+ 0 0) into 0 13.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 13.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 13.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 13.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.912 * [taylor]: Taking taylor expansion of x in x 13.912 * [backup-simplify]: Simplify 0 into 0 13.912 * [backup-simplify]: Simplify 1 into 1 13.912 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 13.912 * [taylor]: Taking taylor expansion of 4 in x 13.912 * [backup-simplify]: Simplify 4 into 4 13.912 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.912 * [taylor]: Taking taylor expansion of p in x 13.912 * [backup-simplify]: Simplify p into p 13.912 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.912 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 13.913 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 13.913 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 13.913 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.913 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 13.913 * [backup-simplify]: Simplify (+ 0 0) into 0 13.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 13.913 * [taylor]: Taking taylor expansion of (* 2 p) in p 13.913 * [taylor]: Taking taylor expansion of 2 in p 13.913 * [backup-simplify]: Simplify 2 into 2 13.913 * [taylor]: Taking taylor expansion of p in p 13.913 * [backup-simplify]: Simplify 0 into 0 13.913 * [backup-simplify]: Simplify 1 into 1 13.914 * [backup-simplify]: Simplify (* 2 0) into 0 13.914 * [backup-simplify]: Simplify 0 into 0 13.914 * [taylor]: Taking taylor expansion of 0 in p 13.914 * [backup-simplify]: Simplify 0 into 0 13.914 * [backup-simplify]: Simplify 0 into 0 13.914 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 13.914 * [backup-simplify]: Simplify 2 into 2 13.915 * [backup-simplify]: Simplify (* 1 1) into 1 13.915 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 13.915 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 13.916 * [backup-simplify]: Simplify (+ 1 0) into 1 13.916 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 13.916 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 13.916 * [taylor]: Taking taylor expansion of 1/4 in p 13.916 * [backup-simplify]: Simplify 1/4 into 1/4 13.916 * [taylor]: Taking taylor expansion of p in p 13.916 * [backup-simplify]: Simplify 0 into 0 13.916 * [backup-simplify]: Simplify 1 into 1 13.916 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 13.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 13.917 * [backup-simplify]: Simplify 0 into 0 13.917 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.919 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 13.919 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 13.920 * [backup-simplify]: Simplify (+ 0 0) into 0 13.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 13.920 * [taylor]: Taking taylor expansion of 0 in p 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 13.921 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 13.921 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 13.921 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 13.921 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 13.921 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 13.921 * [taylor]: Taking taylor expansion of 4 in p 13.921 * [backup-simplify]: Simplify 4 into 4 13.921 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 13.921 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.921 * [taylor]: Taking taylor expansion of p in p 13.921 * [backup-simplify]: Simplify 0 into 0 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [backup-simplify]: Simplify (* 1 1) into 1 13.921 * [backup-simplify]: Simplify (/ 1 1) into 1 13.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 13.921 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.921 * [taylor]: Taking taylor expansion of x in p 13.921 * [backup-simplify]: Simplify x into x 13.921 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.922 * [backup-simplify]: Simplify (* 4 1) into 4 13.922 * [backup-simplify]: Simplify (+ 4 0) into 4 13.922 * [backup-simplify]: Simplify (sqrt 4) into 2 13.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.923 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.924 * [backup-simplify]: Simplify (+ 0 0) into 0 13.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 13.924 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.924 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.924 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.924 * [taylor]: Taking taylor expansion of 4 in x 13.924 * [backup-simplify]: Simplify 4 into 4 13.924 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.924 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.924 * [taylor]: Taking taylor expansion of p in x 13.924 * [backup-simplify]: Simplify p into p 13.924 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.924 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.924 * [taylor]: Taking taylor expansion of x in x 13.924 * [backup-simplify]: Simplify 0 into 0 13.924 * [backup-simplify]: Simplify 1 into 1 13.925 * [backup-simplify]: Simplify (* 1 1) into 1 13.925 * [backup-simplify]: Simplify (/ 1 1) into 1 13.925 * [backup-simplify]: Simplify (+ 0 1) into 1 13.925 * [backup-simplify]: Simplify (sqrt 1) into 1 13.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.926 * [backup-simplify]: Simplify (+ 0 0) into 0 13.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.927 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.927 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.927 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.927 * [taylor]: Taking taylor expansion of 4 in x 13.927 * [backup-simplify]: Simplify 4 into 4 13.927 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.927 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.927 * [taylor]: Taking taylor expansion of p in x 13.927 * [backup-simplify]: Simplify p into p 13.927 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.927 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.927 * [taylor]: Taking taylor expansion of x in x 13.927 * [backup-simplify]: Simplify 0 into 0 13.927 * [backup-simplify]: Simplify 1 into 1 13.927 * [backup-simplify]: Simplify (* 1 1) into 1 13.928 * [backup-simplify]: Simplify (/ 1 1) into 1 13.928 * [backup-simplify]: Simplify (+ 0 1) into 1 13.928 * [backup-simplify]: Simplify (sqrt 1) into 1 13.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.930 * [backup-simplify]: Simplify (+ 0 0) into 0 13.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.930 * [taylor]: Taking taylor expansion of 1 in p 13.930 * [backup-simplify]: Simplify 1 into 1 13.930 * [taylor]: Taking taylor expansion of 0 in p 13.930 * [backup-simplify]: Simplify 0 into 0 13.930 * [backup-simplify]: Simplify 1 into 1 13.930 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 13.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.931 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 13.932 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 13.932 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 13.932 * [taylor]: Taking taylor expansion of 2 in p 13.932 * [backup-simplify]: Simplify 2 into 2 13.932 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.932 * [taylor]: Taking taylor expansion of p in p 13.932 * [backup-simplify]: Simplify 0 into 0 13.932 * [backup-simplify]: Simplify 1 into 1 13.933 * [backup-simplify]: Simplify (* 1 1) into 1 13.933 * [backup-simplify]: Simplify (/ 2 1) into 2 13.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 13.934 * [backup-simplify]: Simplify 0 into 0 13.934 * [backup-simplify]: Simplify 0 into 0 13.934 * [backup-simplify]: Simplify 0 into 0 13.934 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 13.934 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 13.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.936 * [backup-simplify]: Simplify (+ 0 0) into 0 13.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 13.936 * [taylor]: Taking taylor expansion of 0 in p 13.936 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.937 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify 0 into 0 13.937 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.937 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 13.938 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 13.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 13.938 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 13.938 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 13.938 * [taylor]: Taking taylor expansion of 4 in p 13.938 * [backup-simplify]: Simplify 4 into 4 13.938 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 13.938 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.938 * [taylor]: Taking taylor expansion of p in p 13.938 * [backup-simplify]: Simplify 0 into 0 13.938 * [backup-simplify]: Simplify 1 into 1 13.938 * [backup-simplify]: Simplify (* 1 1) into 1 13.938 * [backup-simplify]: Simplify (/ 1 1) into 1 13.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 13.938 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.938 * [taylor]: Taking taylor expansion of x in p 13.938 * [backup-simplify]: Simplify x into x 13.938 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.938 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.939 * [backup-simplify]: Simplify (* 4 1) into 4 13.939 * [backup-simplify]: Simplify (+ 4 0) into 4 13.939 * [backup-simplify]: Simplify (sqrt 4) into 2 13.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.940 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.941 * [backup-simplify]: Simplify (+ 0 0) into 0 13.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 13.941 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.941 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.941 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.941 * [taylor]: Taking taylor expansion of 4 in x 13.941 * [backup-simplify]: Simplify 4 into 4 13.941 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.941 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.941 * [taylor]: Taking taylor expansion of p in x 13.941 * [backup-simplify]: Simplify p into p 13.941 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.941 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.941 * [taylor]: Taking taylor expansion of x in x 13.941 * [backup-simplify]: Simplify 0 into 0 13.941 * [backup-simplify]: Simplify 1 into 1 13.942 * [backup-simplify]: Simplify (* 1 1) into 1 13.942 * [backup-simplify]: Simplify (/ 1 1) into 1 13.942 * [backup-simplify]: Simplify (+ 0 1) into 1 13.942 * [backup-simplify]: Simplify (sqrt 1) into 1 13.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.944 * [backup-simplify]: Simplify (+ 0 0) into 0 13.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.944 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.944 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.944 * [taylor]: Taking taylor expansion of 4 in x 13.944 * [backup-simplify]: Simplify 4 into 4 13.944 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.944 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.944 * [taylor]: Taking taylor expansion of p in x 13.944 * [backup-simplify]: Simplify p into p 13.944 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.944 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.944 * [taylor]: Taking taylor expansion of x in x 13.944 * [backup-simplify]: Simplify 0 into 0 13.944 * [backup-simplify]: Simplify 1 into 1 13.945 * [backup-simplify]: Simplify (* 1 1) into 1 13.945 * [backup-simplify]: Simplify (/ 1 1) into 1 13.945 * [backup-simplify]: Simplify (+ 0 1) into 1 13.945 * [backup-simplify]: Simplify (sqrt 1) into 1 13.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.946 * [backup-simplify]: Simplify (+ 0 0) into 0 13.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.947 * [taylor]: Taking taylor expansion of 1 in p 13.947 * [backup-simplify]: Simplify 1 into 1 13.947 * [taylor]: Taking taylor expansion of 0 in p 13.947 * [backup-simplify]: Simplify 0 into 0 13.947 * [backup-simplify]: Simplify 1 into 1 13.947 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 13.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.948 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 13.949 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 13.949 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 13.949 * [taylor]: Taking taylor expansion of 2 in p 13.949 * [backup-simplify]: Simplify 2 into 2 13.949 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.949 * [taylor]: Taking taylor expansion of p in p 13.949 * [backup-simplify]: Simplify 0 into 0 13.949 * [backup-simplify]: Simplify 1 into 1 13.949 * [backup-simplify]: Simplify (* 1 1) into 1 13.950 * [backup-simplify]: Simplify (/ 2 1) into 2 13.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 13.951 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 13.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.953 * [backup-simplify]: Simplify (+ 0 0) into 0 13.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 13.953 * [taylor]: Taking taylor expansion of 0 in p 13.953 * [backup-simplify]: Simplify 0 into 0 13.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.954 * [backup-simplify]: Simplify 0 into 0 13.954 * [backup-simplify]: Simplify 0 into 0 13.954 * [backup-simplify]: Simplify 0 into 0 13.954 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 13.954 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 2 2 2) 13.954 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 13.954 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 13.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 13.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 13.955 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.955 * [taylor]: Taking taylor expansion of x in p 13.955 * [backup-simplify]: Simplify x into x 13.955 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 13.955 * [taylor]: Taking taylor expansion of 4 in p 13.955 * [backup-simplify]: Simplify 4 into 4 13.955 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.955 * [taylor]: Taking taylor expansion of p in p 13.955 * [backup-simplify]: Simplify 0 into 0 13.955 * [backup-simplify]: Simplify 1 into 1 13.955 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.955 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.955 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.955 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.955 * [backup-simplify]: Simplify (+ 0 0) into 0 13.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 13.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 13.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.955 * [taylor]: Taking taylor expansion of x in x 13.955 * [backup-simplify]: Simplify 0 into 0 13.955 * [backup-simplify]: Simplify 1 into 1 13.955 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 13.955 * [taylor]: Taking taylor expansion of 4 in x 13.955 * [backup-simplify]: Simplify 4 into 4 13.955 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.955 * [taylor]: Taking taylor expansion of p in x 13.955 * [backup-simplify]: Simplify p into p 13.955 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.955 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 13.956 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 13.956 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 13.956 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.956 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 13.956 * [backup-simplify]: Simplify (+ 0 0) into 0 13.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 13.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 13.956 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 13.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.956 * [taylor]: Taking taylor expansion of x in x 13.956 * [backup-simplify]: Simplify 0 into 0 13.956 * [backup-simplify]: Simplify 1 into 1 13.956 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 13.956 * [taylor]: Taking taylor expansion of 4 in x 13.956 * [backup-simplify]: Simplify 4 into 4 13.956 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.956 * [taylor]: Taking taylor expansion of p in x 13.956 * [backup-simplify]: Simplify p into p 13.957 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.957 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 13.957 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 13.957 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 13.957 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.957 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 13.957 * [backup-simplify]: Simplify (+ 0 0) into 0 13.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 13.957 * [taylor]: Taking taylor expansion of (* 2 p) in p 13.957 * [taylor]: Taking taylor expansion of 2 in p 13.958 * [backup-simplify]: Simplify 2 into 2 13.958 * [taylor]: Taking taylor expansion of p in p 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [backup-simplify]: Simplify 1 into 1 13.958 * [backup-simplify]: Simplify (* 2 0) into 0 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [taylor]: Taking taylor expansion of 0 in p 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 13.958 * [backup-simplify]: Simplify 2 into 2 13.959 * [backup-simplify]: Simplify (* 1 1) into 1 13.959 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 13.959 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 13.960 * [backup-simplify]: Simplify (+ 1 0) into 1 13.960 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 13.960 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 13.960 * [taylor]: Taking taylor expansion of 1/4 in p 13.960 * [backup-simplify]: Simplify 1/4 into 1/4 13.960 * [taylor]: Taking taylor expansion of p in p 13.960 * [backup-simplify]: Simplify 0 into 0 13.960 * [backup-simplify]: Simplify 1 into 1 13.961 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 13.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 13.962 * [backup-simplify]: Simplify 0 into 0 13.962 * [backup-simplify]: Simplify 0 into 0 13.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 13.963 * [backup-simplify]: Simplify 0 into 0 13.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.964 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 13.965 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 13.965 * [backup-simplify]: Simplify (+ 0 0) into 0 13.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 13.966 * [taylor]: Taking taylor expansion of 0 in p 13.966 * [backup-simplify]: Simplify 0 into 0 13.966 * [backup-simplify]: Simplify 0 into 0 13.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 13.967 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 13.967 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 13.967 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 13.967 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 13.967 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 13.967 * [taylor]: Taking taylor expansion of 4 in p 13.967 * [backup-simplify]: Simplify 4 into 4 13.967 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 13.967 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.967 * [taylor]: Taking taylor expansion of p in p 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify 1 into 1 13.967 * [backup-simplify]: Simplify (* 1 1) into 1 13.967 * [backup-simplify]: Simplify (/ 1 1) into 1 13.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 13.967 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.967 * [taylor]: Taking taylor expansion of x in p 13.968 * [backup-simplify]: Simplify x into x 13.968 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.968 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.968 * [backup-simplify]: Simplify (* 4 1) into 4 13.968 * [backup-simplify]: Simplify (+ 4 0) into 4 13.968 * [backup-simplify]: Simplify (sqrt 4) into 2 13.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.970 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.970 * [backup-simplify]: Simplify (+ 0 0) into 0 13.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 13.970 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.970 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.970 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.970 * [taylor]: Taking taylor expansion of 4 in x 13.971 * [backup-simplify]: Simplify 4 into 4 13.971 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.971 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.971 * [taylor]: Taking taylor expansion of p in x 13.971 * [backup-simplify]: Simplify p into p 13.971 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.971 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.971 * [taylor]: Taking taylor expansion of x in x 13.971 * [backup-simplify]: Simplify 0 into 0 13.971 * [backup-simplify]: Simplify 1 into 1 13.971 * [backup-simplify]: Simplify (* 1 1) into 1 13.971 * [backup-simplify]: Simplify (/ 1 1) into 1 13.972 * [backup-simplify]: Simplify (+ 0 1) into 1 13.972 * [backup-simplify]: Simplify (sqrt 1) into 1 13.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.973 * [backup-simplify]: Simplify (+ 0 0) into 0 13.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.973 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.973 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.973 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.973 * [taylor]: Taking taylor expansion of 4 in x 13.973 * [backup-simplify]: Simplify 4 into 4 13.973 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.973 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.973 * [taylor]: Taking taylor expansion of p in x 13.973 * [backup-simplify]: Simplify p into p 13.973 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.974 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.974 * [taylor]: Taking taylor expansion of x in x 13.974 * [backup-simplify]: Simplify 0 into 0 13.974 * [backup-simplify]: Simplify 1 into 1 13.974 * [backup-simplify]: Simplify (* 1 1) into 1 13.974 * [backup-simplify]: Simplify (/ 1 1) into 1 13.974 * [backup-simplify]: Simplify (+ 0 1) into 1 13.975 * [backup-simplify]: Simplify (sqrt 1) into 1 13.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.976 * [backup-simplify]: Simplify (+ 0 0) into 0 13.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.976 * [taylor]: Taking taylor expansion of 1 in p 13.976 * [backup-simplify]: Simplify 1 into 1 13.976 * [taylor]: Taking taylor expansion of 0 in p 13.976 * [backup-simplify]: Simplify 0 into 0 13.976 * [backup-simplify]: Simplify 1 into 1 13.976 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 13.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.978 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 13.979 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 13.979 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 13.979 * [taylor]: Taking taylor expansion of 2 in p 13.979 * [backup-simplify]: Simplify 2 into 2 13.979 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.979 * [taylor]: Taking taylor expansion of p in p 13.979 * [backup-simplify]: Simplify 0 into 0 13.979 * [backup-simplify]: Simplify 1 into 1 13.980 * [backup-simplify]: Simplify (* 1 1) into 1 13.980 * [backup-simplify]: Simplify (/ 2 1) into 2 13.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 13.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 13.983 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 13.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.985 * [backup-simplify]: Simplify (+ 0 0) into 0 13.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 13.986 * [taylor]: Taking taylor expansion of 0 in p 13.986 * [backup-simplify]: Simplify 0 into 0 13.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.987 * [backup-simplify]: Simplify 0 into 0 13.987 * [backup-simplify]: Simplify 0 into 0 13.987 * [backup-simplify]: Simplify 0 into 0 13.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.988 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 13.988 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 13.988 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 13.988 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 13.988 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 13.988 * [taylor]: Taking taylor expansion of 4 in p 13.988 * [backup-simplify]: Simplify 4 into 4 13.988 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 13.988 * [taylor]: Taking taylor expansion of (pow p 2) in p 13.988 * [taylor]: Taking taylor expansion of p in p 13.988 * [backup-simplify]: Simplify 0 into 0 13.988 * [backup-simplify]: Simplify 1 into 1 13.988 * [backup-simplify]: Simplify (* 1 1) into 1 13.989 * [backup-simplify]: Simplify (/ 1 1) into 1 13.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 13.989 * [taylor]: Taking taylor expansion of (pow x 2) in p 13.989 * [taylor]: Taking taylor expansion of x in p 13.989 * [backup-simplify]: Simplify x into x 13.989 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.989 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.989 * [backup-simplify]: Simplify (* 4 1) into 4 13.990 * [backup-simplify]: Simplify (+ 4 0) into 4 13.990 * [backup-simplify]: Simplify (sqrt 4) into 2 13.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.992 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.992 * [backup-simplify]: Simplify (+ 0 0) into 0 13.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 13.993 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.993 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.993 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.993 * [taylor]: Taking taylor expansion of 4 in x 13.993 * [backup-simplify]: Simplify 4 into 4 13.993 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.993 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.993 * [taylor]: Taking taylor expansion of p in x 13.993 * [backup-simplify]: Simplify p into p 13.993 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.993 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.994 * [taylor]: Taking taylor expansion of x in x 13.994 * [backup-simplify]: Simplify 0 into 0 13.994 * [backup-simplify]: Simplify 1 into 1 13.994 * [backup-simplify]: Simplify (* 1 1) into 1 13.994 * [backup-simplify]: Simplify (/ 1 1) into 1 13.995 * [backup-simplify]: Simplify (+ 0 1) into 1 13.995 * [backup-simplify]: Simplify (sqrt 1) into 1 13.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.997 * [backup-simplify]: Simplify (+ 0 0) into 0 13.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.998 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 13.998 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 13.998 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 13.998 * [taylor]: Taking taylor expansion of 4 in x 13.998 * [backup-simplify]: Simplify 4 into 4 13.998 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 13.998 * [taylor]: Taking taylor expansion of (pow p 2) in x 13.998 * [taylor]: Taking taylor expansion of p in x 13.998 * [backup-simplify]: Simplify p into p 13.998 * [backup-simplify]: Simplify (* p p) into (pow p 2) 13.998 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 13.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.998 * [taylor]: Taking taylor expansion of x in x 13.998 * [backup-simplify]: Simplify 0 into 0 13.998 * [backup-simplify]: Simplify 1 into 1 14.000 * [backup-simplify]: Simplify (* 1 1) into 1 14.001 * [backup-simplify]: Simplify (/ 1 1) into 1 14.001 * [backup-simplify]: Simplify (+ 0 1) into 1 14.002 * [backup-simplify]: Simplify (sqrt 1) into 1 14.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.003 * [backup-simplify]: Simplify (+ 0 0) into 0 14.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.004 * [taylor]: Taking taylor expansion of 1 in p 14.004 * [backup-simplify]: Simplify 1 into 1 14.004 * [taylor]: Taking taylor expansion of 0 in p 14.004 * [backup-simplify]: Simplify 0 into 0 14.004 * [backup-simplify]: Simplify 1 into 1 14.005 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 14.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.006 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 14.008 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 14.008 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 14.008 * [taylor]: Taking taylor expansion of 2 in p 14.008 * [backup-simplify]: Simplify 2 into 2 14.008 * [taylor]: Taking taylor expansion of (pow p 2) in p 14.008 * [taylor]: Taking taylor expansion of p in p 14.008 * [backup-simplify]: Simplify 0 into 0 14.008 * [backup-simplify]: Simplify 1 into 1 14.008 * [backup-simplify]: Simplify (* 1 1) into 1 14.009 * [backup-simplify]: Simplify (/ 2 1) into 2 14.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 14.010 * [backup-simplify]: Simplify 0 into 0 14.010 * [backup-simplify]: Simplify 0 into 0 14.010 * [backup-simplify]: Simplify 0 into 0 14.010 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 14.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 14.011 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 14.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.013 * [backup-simplify]: Simplify (+ 0 0) into 0 14.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 14.014 * [taylor]: Taking taylor expansion of 0 in p 14.014 * [backup-simplify]: Simplify 0 into 0 14.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.016 * [backup-simplify]: Simplify 0 into 0 14.016 * [backup-simplify]: Simplify 0 into 0 14.016 * [backup-simplify]: Simplify 0 into 0 14.016 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 14.016 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1 1 2 2) 14.016 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 14.016 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 14.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 14.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 14.017 * [taylor]: Taking taylor expansion of (pow x 2) in p 14.017 * [taylor]: Taking taylor expansion of x in p 14.017 * [backup-simplify]: Simplify x into x 14.017 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 14.017 * [taylor]: Taking taylor expansion of 4 in p 14.017 * [backup-simplify]: Simplify 4 into 4 14.017 * [taylor]: Taking taylor expansion of (pow p 2) in p 14.017 * [taylor]: Taking taylor expansion of p in p 14.017 * [backup-simplify]: Simplify 0 into 0 14.017 * [backup-simplify]: Simplify 1 into 1 14.017 * [backup-simplify]: Simplify (* x x) into (pow x 2) 14.017 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 14.017 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 14.017 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 14.017 * [backup-simplify]: Simplify (+ 0 0) into 0 14.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 14.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 14.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 14.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.018 * [taylor]: Taking taylor expansion of x in x 14.018 * [backup-simplify]: Simplify 0 into 0 14.018 * [backup-simplify]: Simplify 1 into 1 14.018 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 14.018 * [taylor]: Taking taylor expansion of 4 in x 14.018 * [backup-simplify]: Simplify 4 into 4 14.018 * [taylor]: Taking taylor expansion of (pow p 2) in x 14.018 * [taylor]: Taking taylor expansion of p in x 14.018 * [backup-simplify]: Simplify p into p 14.018 * [backup-simplify]: Simplify (* p p) into (pow p 2) 14.018 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 14.018 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 14.018 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 14.018 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 14.019 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 14.019 * [backup-simplify]: Simplify (+ 0 0) into 0 14.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 14.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 14.019 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 14.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.019 * [taylor]: Taking taylor expansion of x in x 14.020 * [backup-simplify]: Simplify 0 into 0 14.020 * [backup-simplify]: Simplify 1 into 1 14.020 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 14.020 * [taylor]: Taking taylor expansion of 4 in x 14.020 * [backup-simplify]: Simplify 4 into 4 14.020 * [taylor]: Taking taylor expansion of (pow p 2) in x 14.020 * [taylor]: Taking taylor expansion of p in x 14.020 * [backup-simplify]: Simplify p into p 14.020 * [backup-simplify]: Simplify (* p p) into (pow p 2) 14.020 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 14.020 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 14.020 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 14.020 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 14.021 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 14.021 * [backup-simplify]: Simplify (+ 0 0) into 0 14.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 14.021 * [taylor]: Taking taylor expansion of (* 2 p) in p 14.021 * [taylor]: Taking taylor expansion of 2 in p 14.021 * [backup-simplify]: Simplify 2 into 2 14.021 * [taylor]: Taking taylor expansion of p in p 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify 1 into 1 14.022 * [backup-simplify]: Simplify (* 2 0) into 0 14.022 * [backup-simplify]: Simplify 0 into 0 14.022 * [taylor]: Taking taylor expansion of 0 in p 14.022 * [backup-simplify]: Simplify 0 into 0 14.022 * [backup-simplify]: Simplify 0 into 0 14.023 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 14.023 * [backup-simplify]: Simplify 2 into 2 14.023 * [backup-simplify]: Simplify (* 1 1) into 1 14.023 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 14.024 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 14.025 * [backup-simplify]: Simplify (+ 1 0) into 1 14.025 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 14.025 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 14.025 * [taylor]: Taking taylor expansion of 1/4 in p 14.026 * [backup-simplify]: Simplify 1/4 into 1/4 14.026 * [taylor]: Taking taylor expansion of p in p 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [backup-simplify]: Simplify 1 into 1 14.026 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 14.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 14.027 * [backup-simplify]: Simplify 0 into 0 14.027 * [backup-simplify]: Simplify 0 into 0 14.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 14.028 * [backup-simplify]: Simplify 0 into 0 14.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.030 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 14.031 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 14.031 * [backup-simplify]: Simplify (+ 0 0) into 0 14.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 14.031 * [taylor]: Taking taylor expansion of 0 in p 14.031 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify 0 into 0 14.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.032 * [backup-simplify]: Simplify 0 into 0 14.032 * [backup-simplify]: Simplify 0 into 0 14.033 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 14.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 14.033 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 14.033 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 14.033 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 14.033 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 14.033 * [taylor]: Taking taylor expansion of 4 in p 14.033 * [backup-simplify]: Simplify 4 into 4 14.033 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 14.033 * [taylor]: Taking taylor expansion of (pow p 2) in p 14.033 * [taylor]: Taking taylor expansion of p in p 14.033 * [backup-simplify]: Simplify 0 into 0 14.033 * [backup-simplify]: Simplify 1 into 1 14.033 * [backup-simplify]: Simplify (* 1 1) into 1 14.034 * [backup-simplify]: Simplify (/ 1 1) into 1 14.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 14.034 * [taylor]: Taking taylor expansion of (pow x 2) in p 14.034 * [taylor]: Taking taylor expansion of x in p 14.034 * [backup-simplify]: Simplify x into x 14.034 * [backup-simplify]: Simplify (* x x) into (pow x 2) 14.034 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 14.035 * [backup-simplify]: Simplify (* 4 1) into 4 14.035 * [backup-simplify]: Simplify (+ 4 0) into 4 14.035 * [backup-simplify]: Simplify (sqrt 4) into 2 14.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.037 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 14.038 * [backup-simplify]: Simplify (+ 0 0) into 0 14.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 14.038 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 14.038 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 14.038 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 14.038 * [taylor]: Taking taylor expansion of 4 in x 14.038 * [backup-simplify]: Simplify 4 into 4 14.039 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 14.039 * [taylor]: Taking taylor expansion of (pow p 2) in x 14.039 * [taylor]: Taking taylor expansion of p in x 14.039 * [backup-simplify]: Simplify p into p 14.039 * [backup-simplify]: Simplify (* p p) into (pow p 2) 14.039 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 14.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 14.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.039 * [taylor]: Taking taylor expansion of x in x 14.039 * [backup-simplify]: Simplify 0 into 0 14.039 * [backup-simplify]: Simplify 1 into 1 14.039 * [backup-simplify]: Simplify (* 1 1) into 1 14.040 * [backup-simplify]: Simplify (/ 1 1) into 1 14.040 * [backup-simplify]: Simplify (+ 0 1) into 1 14.040 * [backup-simplify]: Simplify (sqrt 1) into 1 14.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.042 * [backup-simplify]: Simplify (+ 0 0) into 0 14.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 14.043 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 14.043 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 14.043 * [taylor]: Taking taylor expansion of 4 in x 14.043 * [backup-simplify]: Simplify 4 into 4 14.043 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 14.043 * [taylor]: Taking taylor expansion of (pow p 2) in x 14.043 * [taylor]: Taking taylor expansion of p in x 14.043 * [backup-simplify]: Simplify p into p 14.043 * [backup-simplify]: Simplify (* p p) into (pow p 2) 14.043 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 14.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 14.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.043 * [taylor]: Taking taylor expansion of x in x 14.043 * [backup-simplify]: Simplify 0 into 0 14.043 * [backup-simplify]: Simplify 1 into 1 14.044 * [backup-simplify]: Simplify (* 1 1) into 1 14.044 * [backup-simplify]: Simplify (/ 1 1) into 1 14.044 * [backup-simplify]: Simplify (+ 0 1) into 1 14.045 * [backup-simplify]: Simplify (sqrt 1) into 1 14.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.046 * [backup-simplify]: Simplify (+ 0 0) into 0 14.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.047 * [taylor]: Taking taylor expansion of 1 in p 14.047 * [backup-simplify]: Simplify 1 into 1 14.047 * [taylor]: Taking taylor expansion of 0 in p 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 1 into 1 14.047 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 14.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.049 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 14.050 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 14.050 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 14.050 * [taylor]: Taking taylor expansion of 2 in p 14.051 * [backup-simplify]: Simplify 2 into 2 14.051 * [taylor]: Taking taylor expansion of (pow p 2) in p 14.051 * [taylor]: Taking taylor expansion of p in p 14.051 * [backup-simplify]: Simplify 0 into 0 14.051 * [backup-simplify]: Simplify 1 into 1 14.051 * [backup-simplify]: Simplify (* 1 1) into 1 14.051 * [backup-simplify]: Simplify (/ 2 1) into 2 14.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 14.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 14.054 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 14.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.056 * [backup-simplify]: Simplify (+ 0 0) into 0 14.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 14.056 * [taylor]: Taking taylor expansion of 0 in p 14.056 * [backup-simplify]: Simplify 0 into 0 14.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 14.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 14.059 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 14.059 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 14.059 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 14.059 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 14.059 * [taylor]: Taking taylor expansion of 4 in p 14.059 * [backup-simplify]: Simplify 4 into 4 14.059 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 14.059 * [taylor]: Taking taylor expansion of (pow p 2) in p 14.059 * [taylor]: Taking taylor expansion of p in p 14.059 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify 1 into 1 14.060 * [backup-simplify]: Simplify (* 1 1) into 1 14.060 * [backup-simplify]: Simplify (/ 1 1) into 1 14.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 14.060 * [taylor]: Taking taylor expansion of (pow x 2) in p 14.060 * [taylor]: Taking taylor expansion of x in p 14.060 * [backup-simplify]: Simplify x into x 14.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 14.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 14.061 * [backup-simplify]: Simplify (* 4 1) into 4 14.061 * [backup-simplify]: Simplify (+ 4 0) into 4 14.061 * [backup-simplify]: Simplify (sqrt 4) into 2 14.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.063 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 14.064 * [backup-simplify]: Simplify (+ 0 0) into 0 14.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 14.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 14.065 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 14.065 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 14.065 * [taylor]: Taking taylor expansion of 4 in x 14.065 * [backup-simplify]: Simplify 4 into 4 14.065 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 14.065 * [taylor]: Taking taylor expansion of (pow p 2) in x 14.065 * [taylor]: Taking taylor expansion of p in x 14.065 * [backup-simplify]: Simplify p into p 14.065 * [backup-simplify]: Simplify (* p p) into (pow p 2) 14.065 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 14.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 14.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.065 * [taylor]: Taking taylor expansion of x in x 14.065 * [backup-simplify]: Simplify 0 into 0 14.065 * [backup-simplify]: Simplify 1 into 1 14.065 * [backup-simplify]: Simplify (* 1 1) into 1 14.066 * [backup-simplify]: Simplify (/ 1 1) into 1 14.066 * [backup-simplify]: Simplify (+ 0 1) into 1 14.067 * [backup-simplify]: Simplify (sqrt 1) into 1 14.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.068 * [backup-simplify]: Simplify (+ 0 0) into 0 14.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 14.069 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 14.069 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 14.069 * [taylor]: Taking taylor expansion of 4 in x 14.069 * [backup-simplify]: Simplify 4 into 4 14.069 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 14.069 * [taylor]: Taking taylor expansion of (pow p 2) in x 14.069 * [taylor]: Taking taylor expansion of p in x 14.069 * [backup-simplify]: Simplify p into p 14.069 * [backup-simplify]: Simplify (* p p) into (pow p 2) 14.069 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 14.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 14.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.069 * [taylor]: Taking taylor expansion of x in x 14.069 * [backup-simplify]: Simplify 0 into 0 14.069 * [backup-simplify]: Simplify 1 into 1 14.070 * [backup-simplify]: Simplify (* 1 1) into 1 14.070 * [backup-simplify]: Simplify (/ 1 1) into 1 14.071 * [backup-simplify]: Simplify (+ 0 1) into 1 14.071 * [backup-simplify]: Simplify (sqrt 1) into 1 14.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.073 * [backup-simplify]: Simplify (+ 0 0) into 0 14.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.073 * [taylor]: Taking taylor expansion of 1 in p 14.073 * [backup-simplify]: Simplify 1 into 1 14.073 * [taylor]: Taking taylor expansion of 0 in p 14.074 * [backup-simplify]: Simplify 0 into 0 14.074 * [backup-simplify]: Simplify 1 into 1 14.074 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 14.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.076 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 14.077 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 14.077 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 14.077 * [taylor]: Taking taylor expansion of 2 in p 14.077 * [backup-simplify]: Simplify 2 into 2 14.077 * [taylor]: Taking taylor expansion of (pow p 2) in p 14.077 * [taylor]: Taking taylor expansion of p in p 14.077 * [backup-simplify]: Simplify 0 into 0 14.077 * [backup-simplify]: Simplify 1 into 1 14.077 * [backup-simplify]: Simplify (* 1 1) into 1 14.078 * [backup-simplify]: Simplify (/ 2 1) into 2 14.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 14.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 14.080 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 14.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (+ 0 0) into 0 14.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 14.083 * [taylor]: Taking taylor expansion of 0 in p 14.083 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.085 * [backup-simplify]: Simplify 0 into 0 14.085 * [backup-simplify]: Simplify 0 into 0 14.085 * [backup-simplify]: Simplify 0 into 0 14.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 14.085 * * * [progress]: simplifying candidates 14.085 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 14.085 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 14.085 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 14.086 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 14.086 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 14.086 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 14.086 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 14.086 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* p 4)))) (cbrt (+ (* x x) (* p (* p 4)))))) 14.086 * * [simplify]: iters left: 6 (10 enodes) 14.091 * * [simplify]: iters left: 5 (36 enodes) 14.101 * * [simplify]: iters left: 4 (39 enodes) 14.110 * * [simplify]: Extracting #0: cost 1 inf + 0 14.110 * * [simplify]: Extracting #1: cost 4 inf + 0 14.110 * * [simplify]: Extracting #2: cost 7 inf + 0 14.110 * * [simplify]: Extracting #3: cost 10 inf + 0 14.110 * * [simplify]: Extracting #4: cost 17 inf + 0 14.111 * * [simplify]: Extracting #5: cost 15 inf + 44 14.111 * * [simplify]: Extracting #6: cost 10 inf + 291 14.111 * * [simplify]: Extracting #7: cost 4 inf + 1267 14.112 * * [simplify]: Extracting #8: cost 0 inf + 2359 14.112 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* 4 (* p p))))) 14.112 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* (fabs (cbrt (+ (* x x) (* 4 (* p p))))) (sqrt (cbrt (+ (* x x) (* p (* p 4))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.113 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 14.113 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* p 4))))) 14.113 * * [simplify]: iters left: 6 (9 enodes) 14.117 * * [simplify]: iters left: 5 (32 enodes) 14.122 * * [simplify]: iters left: 4 (35 enodes) 14.128 * * [simplify]: Extracting #0: cost 1 inf + 0 14.128 * * [simplify]: Extracting #1: cost 3 inf + 0 14.128 * * [simplify]: Extracting #2: cost 5 inf + 0 14.128 * * [simplify]: Extracting #3: cost 8 inf + 0 14.128 * * [simplify]: Extracting #4: cost 15 inf + 0 14.128 * * [simplify]: Extracting #5: cost 13 inf + 44 14.128 * * [simplify]: Extracting #6: cost 8 inf + 291 14.128 * * [simplify]: Extracting #7: cost 4 inf + 781 14.128 * * [simplify]: Extracting #8: cost 0 inf + 1633 14.129 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* 4 (* p p))))) 14.129 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* (sqrt (sqrt (+ (* x x) (* 4 (* p p))))) (sqrt (sqrt (+ (* x x) (* p (* p 4))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.129 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 14.129 * [simplify]: Simplifying (sqrt 1) 14.129 * * [simplify]: iters left: 1 (2 enodes) 14.132 * * [simplify]: Extracting #0: cost 1 inf + 0 14.132 * * [simplify]: Extracting #1: cost 0 inf + 1 14.132 * [simplify]: Simplified to 1 14.133 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* 1 (sqrt (+ (* x x) (* p (* p 4)))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.133 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 14.133 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* p 4)) 3))) 14.133 * * [simplify]: iters left: 6 (11 enodes) 14.136 * * [simplify]: iters left: 5 (56 enodes) 14.151 * * [simplify]: iters left: 4 (151 enodes) 14.195 * * [simplify]: iters left: 3 (385 enodes) 14.322 * * [simplify]: Extracting #0: cost 1 inf + 0 14.322 * * [simplify]: Extracting #1: cost 3 inf + 0 14.323 * * [simplify]: Extracting #2: cost 6 inf + 0 14.323 * * [simplify]: Extracting #3: cost 57 inf + 0 14.324 * * [simplify]: Extracting #4: cost 148 inf + 833 14.326 * * [simplify]: Extracting #5: cost 87 inf + 11335 14.335 * * [simplify]: Extracting #6: cost 18 inf + 33431 14.342 * * [simplify]: Extracting #7: cost 0 inf + 38979 14.349 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* p p) (* 64 (* p p))) (* p p)))) 14.349 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* p p) (* 64 (* p p))) (* p p)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* p 4)) (* p (* p 4))) (* (* x x) (* p (* p 4)))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.350 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 14.350 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 14.350 * * [simplify]: iters left: 6 (10 enodes) 14.354 * * [simplify]: iters left: 5 (49 enodes) 14.366 * * [simplify]: iters left: 4 (120 enodes) 14.393 * * [simplify]: iters left: 3 (265 enodes) 14.479 * * [simplify]: iters left: 2 (483 enodes) 14.626 * * [simplify]: Extracting #0: cost 1 inf + 0 14.626 * * [simplify]: Extracting #1: cost 3 inf + 0 14.626 * * [simplify]: Extracting #2: cost 32 inf + 0 14.626 * * [simplify]: Extracting #3: cost 117 inf + 0 14.627 * * [simplify]: Extracting #4: cost 149 inf + 1229 14.631 * * [simplify]: Extracting #5: cost 48 inf + 16822 14.638 * * [simplify]: Extracting #6: cost 1 inf + 27670 14.646 * * [simplify]: Extracting #7: cost 0 inf + 27802 14.653 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 14.653 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* p 4)))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.653 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 14.654 * [simplify]: Simplifying (+ (* x x) (* p (* p 4))) 14.654 * * [simplify]: iters left: 6 (7 enodes) 14.656 * * [simplify]: iters left: 5 (26 enodes) 14.660 * * [simplify]: iters left: 4 (29 enodes) 14.665 * * [simplify]: Extracting #0: cost 1 inf + 0 14.665 * * [simplify]: Extracting #1: cost 4 inf + 0 14.665 * * [simplify]: Extracting #2: cost 11 inf + 0 14.665 * * [simplify]: Extracting #3: cost 10 inf + 3 14.665 * * [simplify]: Extracting #4: cost 4 inf + 292 14.665 * * [simplify]: Extracting #5: cost 1 inf + 578 14.665 * * [simplify]: Extracting #6: cost 0 inf + 741 14.665 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 14.665 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.666 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 14.666 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 14.666 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* p 4)))) 14.666 * * [simplify]: iters left: 6 (8 enodes) 14.668 * * [simplify]: iters left: 5 (29 enodes) 14.672 * * [simplify]: iters left: 4 (32 enodes) 14.677 * * [simplify]: Extracting #0: cost 1 inf + 0 14.678 * * [simplify]: Extracting #1: cost 3 inf + 0 14.678 * * [simplify]: Extracting #2: cost 6 inf + 0 14.678 * * [simplify]: Extracting #3: cost 13 inf + 0 14.678 * * [simplify]: Extracting #4: cost 10 inf + 126 14.678 * * [simplify]: Extracting #5: cost 5 inf + 374 14.678 * * [simplify]: Extracting #6: cost 1 inf + 944 14.678 * * [simplify]: Extracting #7: cost 0 inf + 1147 14.678 * [simplify]: Simplified to (sqrt (+ (* x x) (* (* p p) 4))) 14.678 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (fabs (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 14.679 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* p 4))))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))))> 14.679 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 14.679 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 14.679 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 14.679 * * [simplify]: iters left: 6 (10 enodes) 14.682 * * [simplify]: iters left: 5 (34 enodes) 14.687 * * [simplify]: iters left: 4 (37 enodes) 14.697 * * [simplify]: iters left: 3 (39 enodes) 14.706 * * [simplify]: Extracting #0: cost 1 inf + 0 14.706 * * [simplify]: Extracting #1: cost 4 inf + 0 14.706 * * [simplify]: Extracting #2: cost 7 inf + 0 14.706 * * [simplify]: Extracting #3: cost 10 inf + 0 14.706 * * [simplify]: Extracting #4: cost 17 inf + 0 14.706 * * [simplify]: Extracting #5: cost 16 inf + 3 14.706 * * [simplify]: Extracting #6: cost 9 inf + 373 14.706 * * [simplify]: Extracting #7: cost 4 inf + 1267 14.707 * * [simplify]: Extracting #8: cost 0 inf + 2359 14.708 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 14.708 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))))))) 14.708 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 14.708 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 14.708 * * [simplify]: iters left: 6 (9 enodes) 14.712 * * [simplify]: iters left: 5 (30 enodes) 14.717 * * [simplify]: iters left: 4 (33 enodes) 14.722 * * [simplify]: iters left: 3 (35 enodes) 14.727 * * [simplify]: Extracting #0: cost 1 inf + 0 14.727 * * [simplify]: Extracting #1: cost 3 inf + 0 14.727 * * [simplify]: Extracting #2: cost 5 inf + 0 14.727 * * [simplify]: Extracting #3: cost 8 inf + 0 14.727 * * [simplify]: Extracting #4: cost 15 inf + 0 14.727 * * [simplify]: Extracting #5: cost 13 inf + 44 14.727 * * [simplify]: Extracting #6: cost 8 inf + 291 14.728 * * [simplify]: Extracting #7: cost 4 inf + 781 14.728 * * [simplify]: Extracting #8: cost 0 inf + 1633 14.728 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 14.728 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5)))))))) 14.729 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 14.729 * [simplify]: Simplifying (sqrt 1) 14.729 * * [simplify]: iters left: 1 (2 enodes) 14.731 * * [simplify]: Extracting #0: cost 1 inf + 0 14.731 * * [simplify]: Extracting #1: cost 0 inf + 1 14.731 * [simplify]: Simplified to 1 14.731 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))))))) 14.731 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 14.731 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 14.731 * * [simplify]: iters left: 6 (11 enodes) 14.735 * * [simplify]: iters left: 5 (54 enodes) 14.749 * * [simplify]: iters left: 4 (135 enodes) 14.787 * * [simplify]: iters left: 3 (325 enodes) 14.937 * * [simplify]: Extracting #0: cost 1 inf + 0 14.937 * * [simplify]: Extracting #1: cost 3 inf + 0 14.937 * * [simplify]: Extracting #2: cost 6 inf + 0 14.937 * * [simplify]: Extracting #3: cost 50 inf + 0 14.938 * * [simplify]: Extracting #4: cost 136 inf + 1171 14.942 * * [simplify]: Extracting #5: cost 93 inf + 8781 14.950 * * [simplify]: Extracting #6: cost 26 inf + 27825 14.958 * * [simplify]: Extracting #7: cost 5 inf + 35083 14.964 * * [simplify]: Extracting #8: cost 0 inf + 36927 14.969 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 14.969 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))))) 0.5)))))))) 14.969 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 14.970 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 14.970 * * [simplify]: iters left: 6 (10 enodes) 14.973 * * [simplify]: iters left: 5 (48 enodes) 14.985 * * [simplify]: iters left: 4 (113 enodes) 15.020 * * [simplify]: iters left: 3 (257 enodes) 15.128 * * [simplify]: iters left: 2 (483 enodes) 15.320 * * [simplify]: Extracting #0: cost 1 inf + 0 15.320 * * [simplify]: Extracting #1: cost 3 inf + 0 15.321 * * [simplify]: Extracting #2: cost 32 inf + 0 15.321 * * [simplify]: Extracting #3: cost 118 inf + 0 15.322 * * [simplify]: Extracting #4: cost 142 inf + 2127 15.325 * * [simplify]: Extracting #5: cost 56 inf + 15017 15.337 * * [simplify]: Extracting #6: cost 2 inf + 27529 15.345 * * [simplify]: Extracting #7: cost 0 inf + 27895 15.352 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 15.353 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* 4 p))))))) 0.5)))))))) 15.353 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 15.353 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 15.353 * * [simplify]: iters left: 6 (7 enodes) 15.355 * * [simplify]: iters left: 5 (24 enodes) 15.359 * * [simplify]: iters left: 4 (27 enodes) 15.364 * * [simplify]: iters left: 3 (29 enodes) 15.368 * * [simplify]: Extracting #0: cost 1 inf + 0 15.368 * * [simplify]: Extracting #1: cost 4 inf + 0 15.368 * * [simplify]: Extracting #2: cost 11 inf + 0 15.368 * * [simplify]: Extracting #3: cost 10 inf + 3 15.368 * * [simplify]: Extracting #4: cost 4 inf + 292 15.369 * * [simplify]: Extracting #5: cost 1 inf + 578 15.369 * * [simplify]: Extracting #6: cost 0 inf + 741 15.369 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 15.369 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) 0.5)))))))) 15.369 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 15.369 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 15.370 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 15.370 * * [simplify]: iters left: 6 (8 enodes) 15.372 * * [simplify]: iters left: 5 (27 enodes) 15.377 * * [simplify]: iters left: 4 (30 enodes) 15.382 * * [simplify]: iters left: 3 (32 enodes) 15.387 * * [simplify]: Extracting #0: cost 1 inf + 0 15.387 * * [simplify]: Extracting #1: cost 3 inf + 0 15.387 * * [simplify]: Extracting #2: cost 6 inf + 0 15.387 * * [simplify]: Extracting #3: cost 13 inf + 0 15.388 * * [simplify]: Extracting #4: cost 10 inf + 126 15.388 * * [simplify]: Extracting #5: cost 5 inf + 374 15.388 * * [simplify]: Extracting #6: cost 1 inf + 944 15.388 * * [simplify]: Extracting #7: cost 0 inf + 1147 15.388 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 15.388 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p p))))))) 0.5)))))))) 15.389 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))))) 0.5))))))))> 15.389 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 15.389 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 15.389 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 15.389 * * [simplify]: iters left: 6 (10 enodes) 15.392 * * [simplify]: iters left: 5 (34 enodes) 15.398 * * [simplify]: iters left: 4 (37 enodes) 15.403 * * [simplify]: iters left: 3 (39 enodes) 15.409 * * [simplify]: Extracting #0: cost 1 inf + 0 15.409 * * [simplify]: Extracting #1: cost 4 inf + 0 15.409 * * [simplify]: Extracting #2: cost 7 inf + 0 15.409 * * [simplify]: Extracting #3: cost 10 inf + 0 15.409 * * [simplify]: Extracting #4: cost 17 inf + 0 15.409 * * [simplify]: Extracting #5: cost 16 inf + 3 15.409 * * [simplify]: Extracting #6: cost 9 inf + 373 15.409 * * [simplify]: Extracting #7: cost 4 inf + 1267 15.410 * * [simplify]: Extracting #8: cost 0 inf + 2359 15.410 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 15.410 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.410 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 15.411 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 15.411 * * [simplify]: iters left: 6 (9 enodes) 15.413 * * [simplify]: iters left: 5 (30 enodes) 15.419 * * [simplify]: iters left: 4 (33 enodes) 15.424 * * [simplify]: iters left: 3 (35 enodes) 15.430 * * [simplify]: Extracting #0: cost 1 inf + 0 15.430 * * [simplify]: Extracting #1: cost 3 inf + 0 15.430 * * [simplify]: Extracting #2: cost 5 inf + 0 15.430 * * [simplify]: Extracting #3: cost 8 inf + 0 15.430 * * [simplify]: Extracting #4: cost 15 inf + 0 15.430 * * [simplify]: Extracting #5: cost 13 inf + 44 15.430 * * [simplify]: Extracting #6: cost 8 inf + 291 15.430 * * [simplify]: Extracting #7: cost 4 inf + 781 15.431 * * [simplify]: Extracting #8: cost 0 inf + 1633 15.431 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 15.431 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.431 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 15.432 * [simplify]: Simplifying (sqrt 1) 15.432 * * [simplify]: iters left: 1 (2 enodes) 15.434 * * [simplify]: Extracting #0: cost 1 inf + 0 15.434 * * [simplify]: Extracting #1: cost 0 inf + 1 15.434 * [simplify]: Simplified to 1 15.434 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* p (* 4 p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.434 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 15.434 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 15.434 * * [simplify]: iters left: 6 (11 enodes) 15.438 * * [simplify]: iters left: 5 (54 enodes) 15.452 * * [simplify]: iters left: 4 (135 enodes) 15.488 * * [simplify]: iters left: 3 (325 enodes) 15.590 * * [simplify]: Extracting #0: cost 1 inf + 0 15.590 * * [simplify]: Extracting #1: cost 3 inf + 0 15.590 * * [simplify]: Extracting #2: cost 6 inf + 0 15.590 * * [simplify]: Extracting #3: cost 50 inf + 0 15.591 * * [simplify]: Extracting #4: cost 136 inf + 1171 15.593 * * [simplify]: Extracting #5: cost 93 inf + 8781 15.597 * * [simplify]: Extracting #6: cost 26 inf + 27825 15.602 * * [simplify]: Extracting #7: cost 5 inf + 35083 15.607 * * [simplify]: Extracting #8: cost 0 inf + 36927 15.612 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 15.612 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p)))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.613 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 15.613 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 15.613 * * [simplify]: iters left: 6 (10 enodes) 15.616 * * [simplify]: iters left: 5 (48 enodes) 15.626 * * [simplify]: iters left: 4 (113 enodes) 15.655 * * [simplify]: iters left: 3 (257 enodes) 15.730 * * [simplify]: iters left: 2 (483 enodes) 15.881 * * [simplify]: Extracting #0: cost 1 inf + 0 15.881 * * [simplify]: Extracting #1: cost 3 inf + 0 15.881 * * [simplify]: Extracting #2: cost 32 inf + 0 15.882 * * [simplify]: Extracting #3: cost 118 inf + 0 15.883 * * [simplify]: Extracting #4: cost 142 inf + 2127 15.888 * * [simplify]: Extracting #5: cost 56 inf + 15017 15.898 * * [simplify]: Extracting #6: cost 2 inf + 27529 15.911 * * [simplify]: Extracting #7: cost 0 inf + 27895 15.922 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 15.922 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* x x) (* p (* 4 p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.923 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 15.923 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 15.923 * * [simplify]: iters left: 6 (7 enodes) 15.926 * * [simplify]: iters left: 5 (24 enodes) 15.932 * * [simplify]: iters left: 4 (27 enodes) 15.938 * * [simplify]: iters left: 3 (29 enodes) 15.944 * * [simplify]: Extracting #0: cost 1 inf + 0 15.944 * * [simplify]: Extracting #1: cost 4 inf + 0 15.944 * * [simplify]: Extracting #2: cost 11 inf + 0 15.944 * * [simplify]: Extracting #3: cost 10 inf + 3 15.944 * * [simplify]: Extracting #4: cost 4 inf + 292 15.945 * * [simplify]: Extracting #5: cost 1 inf + 578 15.945 * * [simplify]: Extracting #6: cost 0 inf + 741 15.945 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 15.945 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.945 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 15.946 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 15.946 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 15.946 * * [simplify]: iters left: 6 (8 enodes) 15.949 * * [simplify]: iters left: 5 (27 enodes) 15.955 * * [simplify]: iters left: 4 (30 enodes) 15.962 * * [simplify]: iters left: 3 (32 enodes) 15.968 * * [simplify]: Extracting #0: cost 1 inf + 0 15.968 * * [simplify]: Extracting #1: cost 3 inf + 0 15.968 * * [simplify]: Extracting #2: cost 6 inf + 0 15.968 * * [simplify]: Extracting #3: cost 13 inf + 0 15.969 * * [simplify]: Extracting #4: cost 10 inf + 126 15.969 * * [simplify]: Extracting #5: cost 5 inf + 374 15.969 * * [simplify]: Extracting #6: cost 1 inf + 944 15.969 * * [simplify]: Extracting #7: cost 0 inf + 1147 15.970 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 15.970 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 15.970 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 15.970 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))))> 15.970 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 15.970 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 15.970 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 15.970 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 15.971 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 15.971 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) 15.971 * * [simplify]: iters left: 6 (10 enodes) 15.974 * * [simplify]: iters left: 5 (34 enodes) 15.982 * * [simplify]: iters left: 4 (37 enodes) 15.989 * * [simplify]: iters left: 3 (39 enodes) 15.995 * * [simplify]: Extracting #0: cost 1 inf + 0 15.995 * * [simplify]: Extracting #1: cost 4 inf + 0 15.995 * * [simplify]: Extracting #2: cost 7 inf + 0 15.995 * * [simplify]: Extracting #3: cost 10 inf + 0 15.995 * * [simplify]: Extracting #4: cost 17 inf + 0 15.995 * * [simplify]: Extracting #5: cost 16 inf + 3 15.995 * * [simplify]: Extracting #6: cost 9 inf + 373 15.995 * * [simplify]: Extracting #7: cost 4 inf + 1267 15.995 * * [simplify]: Extracting #8: cost 0 inf + 2359 15.996 * [simplify]: Simplified to (fabs (cbrt (+ (* x x) (* (* p p) 4)))) 15.996 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* 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)))))))) 15.996 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 15.996 * [simplify]: Simplifying (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) 15.996 * * [simplify]: iters left: 6 (9 enodes) 15.999 * * [simplify]: iters left: 5 (30 enodes) 16.003 * * [simplify]: iters left: 4 (33 enodes) 16.008 * * [simplify]: iters left: 3 (35 enodes) 16.015 * * [simplify]: Extracting #0: cost 1 inf + 0 16.015 * * [simplify]: Extracting #1: cost 3 inf + 0 16.015 * * [simplify]: Extracting #2: cost 5 inf + 0 16.015 * * [simplify]: Extracting #3: cost 8 inf + 0 16.015 * * [simplify]: Extracting #4: cost 15 inf + 0 16.015 * * [simplify]: Extracting #5: cost 13 inf + 44 16.015 * * [simplify]: Extracting #6: cost 8 inf + 291 16.015 * * [simplify]: Extracting #7: cost 4 inf + 781 16.016 * * [simplify]: Extracting #8: cost 0 inf + 1633 16.016 * [simplify]: Simplified to (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 16.016 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (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)))))))) 16.016 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 16.016 * [simplify]: Simplifying (sqrt 1) 16.016 * * [simplify]: iters left: 1 (2 enodes) 16.018 * * [simplify]: Extracting #0: cost 1 inf + 0 16.018 * * [simplify]: Extracting #1: cost 0 inf + 1 16.018 * [simplify]: Simplified to 1 16.018 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* 1 (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)))))))) 16.019 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 16.019 * [simplify]: Simplifying (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) 16.019 * * [simplify]: iters left: 6 (11 enodes) 16.022 * * [simplify]: iters left: 5 (54 enodes) 16.036 * * [simplify]: iters left: 4 (135 enodes) 16.084 * * [simplify]: iters left: 3 (325 enodes) 16.228 * * [simplify]: Extracting #0: cost 1 inf + 0 16.228 * * [simplify]: Extracting #1: cost 3 inf + 0 16.228 * * [simplify]: Extracting #2: cost 6 inf + 0 16.228 * * [simplify]: Extracting #3: cost 50 inf + 0 16.229 * * [simplify]: Extracting #4: cost 136 inf + 1171 16.233 * * [simplify]: Extracting #5: cost 93 inf + 8781 16.240 * * [simplify]: Extracting #6: cost 26 inf + 27825 16.248 * * [simplify]: Extracting #7: cost 5 inf + 35083 16.257 * * [simplify]: Extracting #8: cost 0 inf + 36927 16.266 * [simplify]: Simplified to (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) 16.266 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (/ (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* 64 (* (* (* p p) p) (* (* p p) p))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* 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)))))))) 16.267 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 16.267 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) 16.267 * * [simplify]: iters left: 6 (10 enodes) 16.272 * * [simplify]: iters left: 5 (48 enodes) 16.282 * * [simplify]: iters left: 4 (113 enodes) 16.311 * * [simplify]: iters left: 3 (257 enodes) 16.397 * * [simplify]: iters left: 2 (483 enodes) 16.585 * * [simplify]: Extracting #0: cost 1 inf + 0 16.585 * * [simplify]: Extracting #1: cost 3 inf + 0 16.585 * * [simplify]: Extracting #2: cost 32 inf + 0 16.585 * * [simplify]: Extracting #3: cost 118 inf + 0 16.586 * * [simplify]: Extracting #4: cost 142 inf + 2127 16.590 * * [simplify]: Extracting #5: cost 56 inf + 15017 16.597 * * [simplify]: Extracting #6: cost 2 inf + 27529 16.605 * * [simplify]: Extracting #7: cost 0 inf + 27895 16.617 * [simplify]: Simplified to (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) 16.617 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (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)))))))) 16.617 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 16.618 * [simplify]: Simplifying (+ (* x x) (* p (* 4 p))) 16.618 * * [simplify]: iters left: 6 (7 enodes) 16.624 * * [simplify]: iters left: 5 (24 enodes) 16.627 * * [simplify]: iters left: 4 (27 enodes) 16.631 * * [simplify]: iters left: 3 (29 enodes) 16.636 * * [simplify]: Extracting #0: cost 1 inf + 0 16.636 * * [simplify]: Extracting #1: cost 4 inf + 0 16.636 * * [simplify]: Extracting #2: cost 11 inf + 0 16.636 * * [simplify]: Extracting #3: cost 10 inf + 3 16.636 * * [simplify]: Extracting #4: cost 4 inf + 292 16.636 * * [simplify]: Extracting #5: cost 1 inf + 578 16.637 * * [simplify]: Extracting #6: cost 0 inf + 741 16.637 * [simplify]: Simplified to (+ (* x x) (* (* p 4) p)) 16.637 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.637 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 16.637 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 16.637 * [simplify]: Simplifying (sqrt (+ (* x x) (* p (* 4 p)))) 16.637 * * [simplify]: iters left: 6 (8 enodes) 16.639 * * [simplify]: iters left: 5 (27 enodes) 16.643 * * [simplify]: iters left: 4 (30 enodes) 16.650 * * [simplify]: iters left: 3 (32 enodes) 16.657 * * [simplify]: Extracting #0: cost 1 inf + 0 16.657 * * [simplify]: Extracting #1: cost 3 inf + 0 16.657 * * [simplify]: Extracting #2: cost 6 inf + 0 16.657 * * [simplify]: Extracting #3: cost 13 inf + 0 16.657 * * [simplify]: Extracting #4: cost 10 inf + 126 16.657 * * [simplify]: Extracting #5: cost 5 inf + 374 16.657 * * [simplify]: Extracting #6: cost 1 inf + 944 16.657 * * [simplify]: Extracting #7: cost 0 inf + 1147 16.658 * [simplify]: Simplified to (sqrt (+ (* x x) (* 4 (* p p)))) 16.658 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2 1) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* 4 (* p 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)))))))) 16.658 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 16.658 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (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))))))))> 16.658 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 16.658 * [simplify]: Simplifying (* 2 p) 16.658 * * [simplify]: iters left: 2 (3 enodes) 16.659 * * [simplify]: iters left: 1 (10 enodes) 16.661 * * [simplify]: Extracting #0: cost 1 inf + 0 16.661 * * [simplify]: Extracting #1: cost 4 inf + 0 16.661 * * [simplify]: Extracting #2: cost 2 inf + 2 16.661 * * [simplify]: Extracting #3: cost 0 inf + 86 16.661 * [simplify]: Simplified to (* 2 p) 16.661 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (* 2 p)) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.661 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 16.661 * [simplify]: Simplifying x 16.662 * * [simplify]: iters left: 0 (1 enodes) 16.662 * * [simplify]: Extracting #0: cost 1 inf + 0 16.662 * * [simplify]: Extracting #1: cost 0 inf + 1 16.662 * [simplify]: Simplified to x 16.662 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) x) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.662 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 16.662 * [simplify]: Simplifying (* -1 x) 16.662 * * [simplify]: iters left: 2 (3 enodes) 16.663 * * [simplify]: iters left: 1 (11 enodes) 16.666 * * [simplify]: Extracting #0: cost 1 inf + 0 16.666 * * [simplify]: Extracting #1: cost 4 inf + 0 16.666 * * [simplify]: Extracting #2: cost 0 inf + 84 16.666 * [simplify]: Simplified to (- x) 16.666 * [simplify]: Simplified (2 1 1 1 1 1 1 2 1 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (- x)) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.666 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 16.667 * [simplify]: Simplifying (* 2 p) 16.667 * * [simplify]: iters left: 2 (3 enodes) 16.668 * * [simplify]: iters left: 1 (10 enodes) 16.670 * * [simplify]: Extracting #0: cost 1 inf + 0 16.670 * * [simplify]: Extracting #1: cost 4 inf + 0 16.670 * * [simplify]: Extracting #2: cost 2 inf + 2 16.671 * * [simplify]: Extracting #3: cost 0 inf + 86 16.671 * [simplify]: Simplified to (* 2 p) 16.671 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (* 2 p))) 0.5)))))))) 16.671 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 16.671 * [simplify]: Simplifying x 16.671 * * [simplify]: iters left: 0 (1 enodes) 16.672 * * [simplify]: Extracting #0: cost 1 inf + 0 16.672 * * [simplify]: Extracting #1: cost 0 inf + 1 16.672 * [simplify]: Simplified to x 16.672 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x x)) 0.5)))))))) 16.672 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 16.672 * [simplify]: Simplifying (* -1 x) 16.672 * * [simplify]: iters left: 2 (3 enodes) 16.674 * * [simplify]: iters left: 1 (11 enodes) 16.675 * * [simplify]: Extracting #0: cost 1 inf + 0 16.675 * * [simplify]: Extracting #1: cost 4 inf + 0 16.675 * * [simplify]: Extracting #2: cost 0 inf + 84 16.676 * [simplify]: Simplified to (- x) 16.676 * [simplify]: Simplified (2 1 1 2 1 2 2 1 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 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) (* (* 0.5 (/ x (- x))) 0.5)))))))) 16.676 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 16.676 * [simplify]: Simplifying (* 2 p) 16.676 * * [simplify]: iters left: 2 (3 enodes) 16.677 * * [simplify]: iters left: 1 (10 enodes) 16.679 * * [simplify]: Extracting #0: cost 1 inf + 0 16.679 * * [simplify]: Extracting #1: cost 4 inf + 0 16.679 * * [simplify]: Extracting #2: cost 2 inf + 2 16.680 * * [simplify]: Extracting #3: cost 0 inf + 86 16.680 * [simplify]: Simplified to (* 2 p) 16.680 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (* 2 p)))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.680 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 16.680 * [simplify]: Simplifying x 16.680 * * [simplify]: iters left: 0 (1 enodes) 16.681 * * [simplify]: Extracting #0: cost 1 inf + 0 16.681 * * [simplify]: Extracting #1: cost 0 inf + 1 16.681 * [simplify]: Simplified to x 16.681 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x x))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.681 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 16.681 * [simplify]: Simplifying (* -1 x) 16.681 * * [simplify]: iters left: 2 (3 enodes) 16.683 * * [simplify]: iters left: 1 (11 enodes) 16.686 * * [simplify]: Extracting #0: cost 1 inf + 0 16.686 * * [simplify]: Extracting #1: cost 4 inf + 0 16.686 * * [simplify]: Extracting #2: cost 0 inf + 84 16.686 * [simplify]: Simplified to (- x) 16.686 * [simplify]: Simplified (2 1 1 2 1 1 2 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 (/ x (- x)))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.686 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 16.687 * [simplify]: Simplifying (* 2 p) 16.687 * * [simplify]: iters left: 2 (3 enodes) 16.688 * * [simplify]: iters left: 1 (10 enodes) 16.691 * * [simplify]: Extracting #0: cost 1 inf + 0 16.691 * * [simplify]: Extracting #1: cost 4 inf + 0 16.691 * * [simplify]: Extracting #2: cost 2 inf + 2 16.691 * * [simplify]: Extracting #3: cost 0 inf + 86 16.691 * [simplify]: Simplified to (* 2 p) 16.691 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (* 2 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)))))))) 16.691 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 16.691 * [simplify]: Simplifying x 16.691 * * [simplify]: iters left: 0 (1 enodes) 16.692 * * [simplify]: Extracting #0: cost 1 inf + 0 16.692 * * [simplify]: Extracting #1: cost 0 inf + 1 16.692 * [simplify]: Simplified to x 16.692 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x x)) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.692 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 16.692 * [simplify]: Simplifying (* -1 x) 16.692 * * [simplify]: iters left: 2 (3 enodes) 16.694 * * [simplify]: iters left: 1 (11 enodes) 16.696 * * [simplify]: Extracting #0: cost 1 inf + 0 16.696 * * [simplify]: Extracting #1: cost 4 inf + 0 16.696 * * [simplify]: Extracting #2: cost 0 inf + 84 16.696 * [simplify]: Simplified to (- x) 16.696 * [simplify]: Simplified (2 1 1 2 1 1 1 2 2) to (λ (p x) (log (exp (/ (sqrt (* (+ (* 0.5 (* (/ (* x x) (sqrt (+ (* x x) (* p (* p 4))))) (/ x (+ (* x x) (* p (* p 4)))))) 0.5) (* 0.5 0.5))) (sqrt (+ (* (* 0.5 (/ x (- x))) (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))))))) 16.697 * * * [progress]: adding candidates to table 18.112 * [progress]: [Phase 3 of 3] Extracting. 18.112 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))> #) 18.127 * * * [regime-changes]: Trying 2 branch expressions: (p x) 18.127 * * * * [regimes]: Trying to branch on p from (# # # # # # # # # # # # # #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))> #) 18.253 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5))))))> #) 18.378 * * * [regime]: Found split indices: #