0.497 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.085 * * * [progress]: [2/2] Setting up program.
0.089 * [progress]: [Phase 2 of 3] Improving.
0.091 * [simplify]: Simplifying:
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.091 * [simplify]: Sending expressions to egg_math:
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h0 h1)))) h0)
0.133 * * [progress]: iteration 1 / 4
0.133 * * * [progress]: picking best candidate
0.136 * * * * [pick]: Picked  #<alt (λ (a b_2 c) (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))>
0.136 * * * [progress]: localizing error
0.151 * * * [progress]: generating rewritten candidates
0.151 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
0.164 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.186 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
0.194 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.275 * * * [progress]: generating series expansions
0.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
0.283 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
0.283 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
0.284 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
0.284 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.284 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.284 * [taylor]: Taking taylor expansion of b_2 in c
0.284 * [backup-simplify]: Simplify b_2 into b_2
0.284 * [taylor]: Taking taylor expansion of (* a c) in c
0.284 * [taylor]: Taking taylor expansion of a in c
0.284 * [backup-simplify]: Simplify a into a
0.284 * [taylor]: Taking taylor expansion of c in c
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.285 * [backup-simplify]: Simplify (* a 0) into 0
0.285 * [backup-simplify]: Simplify (- 0) into 0
0.286 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.286 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.286 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.286 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.286 * [backup-simplify]: Simplify (- a) into (- a)
0.286 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
0.287 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
0.287 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
0.287 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.287 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.287 * [taylor]: Taking taylor expansion of b_2 in a
0.287 * [backup-simplify]: Simplify b_2 into b_2
0.287 * [taylor]: Taking taylor expansion of (* a c) in a
0.287 * [taylor]: Taking taylor expansion of a in a
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of c in a
0.287 * [backup-simplify]: Simplify c into c
0.287 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.287 * [backup-simplify]: Simplify (* 0 c) into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.287 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.287 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.287 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.288 * [backup-simplify]: Simplify (- c) into (- c)
0.288 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
0.288 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
0.288 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.288 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.288 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.288 * [taylor]: Taking taylor expansion of b_2 in b_2
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.288 * [taylor]: Taking taylor expansion of a in b_2
0.288 * [backup-simplify]: Simplify a into a
0.288 * [taylor]: Taking taylor expansion of c in b_2
0.288 * [backup-simplify]: Simplify c into c
0.288 * [backup-simplify]: Simplify (* a c) into (* a c)
0.288 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.288 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.288 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.289 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.289 * [backup-simplify]: Simplify (- 0) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.289 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.289 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.289 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.289 * [taylor]: Taking taylor expansion of b_2 in b_2
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.289 * [taylor]: Taking taylor expansion of a in b_2
0.289 * [backup-simplify]: Simplify a into a
0.289 * [taylor]: Taking taylor expansion of c in b_2
0.289 * [backup-simplify]: Simplify c into c
0.289 * [backup-simplify]: Simplify (* a c) into (* a c)
0.289 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.289 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.290 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.290 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.290 * [backup-simplify]: Simplify (- 0) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.291 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.291 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.291 * [taylor]: Taking taylor expansion of (* a c) in a
0.291 * [taylor]: Taking taylor expansion of a in a
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of c in a
0.291 * [backup-simplify]: Simplify c into c
0.291 * [backup-simplify]: Simplify (* 0 c) into 0
0.291 * [backup-simplify]: Simplify (- 0) into 0
0.291 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.291 * [backup-simplify]: Simplify (- c) into (- c)
0.292 * [backup-simplify]: Simplify (sqrt 0) into 0
0.292 * [backup-simplify]: Simplify (- c) into (- c)
0.292 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.292 * [taylor]: Taking taylor expansion of 0 in c
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in a
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in c
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.292 * [taylor]: Taking taylor expansion of +nan.0 in c
0.292 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.292 * [taylor]: Taking taylor expansion of c in c
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.294 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.294 * [backup-simplify]: Simplify (- 0) into 0
0.294 * [backup-simplify]: Simplify (+ 1 0) into 1
0.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
0.295 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
0.295 * [taylor]: Taking taylor expansion of 1/2 in a
0.295 * [backup-simplify]: Simplify 1/2 into 1/2
0.295 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.295 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.295 * [taylor]: Taking taylor expansion of (* a c) in a
0.295 * [taylor]: Taking taylor expansion of a in a
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of c in a
0.295 * [backup-simplify]: Simplify c into c
0.295 * [backup-simplify]: Simplify (* 0 c) into 0
0.295 * [backup-simplify]: Simplify (- 0) into 0
0.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.295 * [backup-simplify]: Simplify (- c) into (- c)
0.296 * [backup-simplify]: Simplify (sqrt 0) into 0
0.296 * [backup-simplify]: Simplify (- c) into (- c)
0.296 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.296 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.297 * [backup-simplify]: Simplify (- 0) into 0
0.298 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.298 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
0.298 * [taylor]: Taking taylor expansion of (- +nan.0) in c
0.298 * [taylor]: Taking taylor expansion of +nan.0 in c
0.298 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.298 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.299 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.299 * [taylor]: Taking taylor expansion of 0 in c
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.300 * [backup-simplify]: Simplify (- 0) into 0
0.300 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
0.300 * [taylor]: Taking taylor expansion of +nan.0 in c
0.300 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.300 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.300 * [taylor]: Taking taylor expansion of c in c
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.301 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.303 * [backup-simplify]: Simplify (- 0) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in a
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in c
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.304 * [backup-simplify]: Simplify (- 0) into 0
0.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.305 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 3)) (* +nan.0 c))) (* (- +nan.0) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- (* +nan.0 c))
0.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
0.306 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.306 * [taylor]: Taking taylor expansion of +nan.0 in c
0.306 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.306 * [taylor]: Taking taylor expansion of c in c
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.306 * [backup-simplify]: Simplify (- 0) into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [taylor]: Taking taylor expansion of 0 in c
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.307 * [backup-simplify]: Simplify (- 0) into 0
0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
0.308 * [taylor]: Taking taylor expansion of +nan.0 in c
0.308 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.308 * [taylor]: Taking taylor expansion of (pow c 3) in c
0.308 * [taylor]: Taking taylor expansion of c in c
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (- 0) into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* c (* a 1))) (* (- +nan.0) (pow (* 1 (* 1 b_2)) 2))) into (- (+ (* +nan.0 (pow b_2 2)) (- (* +nan.0 (* a c)))))
0.309 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
0.309 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.309 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.309 * [taylor]: Taking taylor expansion of b_2 in c
0.309 * [backup-simplify]: Simplify b_2 into b_2
0.310 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.310 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.310 * [taylor]: Taking taylor expansion of (* a c) in c
0.310 * [taylor]: Taking taylor expansion of a in c
0.310 * [backup-simplify]: Simplify a into a
0.310 * [taylor]: Taking taylor expansion of c in c
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (* a 0) into 0
0.310 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.310 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.310 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.310 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.311 * [backup-simplify]: Simplify (sqrt 0) into 0
0.311 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.311 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.311 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.311 * [taylor]: Taking taylor expansion of b_2 in a
0.311 * [backup-simplify]: Simplify b_2 into b_2
0.311 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.311 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.311 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.311 * [taylor]: Taking taylor expansion of (* a c) in a
0.311 * [taylor]: Taking taylor expansion of a in a
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [taylor]: Taking taylor expansion of c in a
0.311 * [backup-simplify]: Simplify c into c
0.311 * [backup-simplify]: Simplify (* 0 c) into 0
0.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.312 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.312 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.312 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.312 * [backup-simplify]: Simplify (sqrt 0) into 0
0.312 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.312 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.312 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.312 * [taylor]: Taking taylor expansion of b_2 in b_2
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.313 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.313 * [taylor]: Taking taylor expansion of a in b_2
0.313 * [backup-simplify]: Simplify a into a
0.313 * [taylor]: Taking taylor expansion of c in b_2
0.313 * [backup-simplify]: Simplify c into c
0.313 * [backup-simplify]: Simplify (* a c) into (* a c)
0.313 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.313 * [backup-simplify]: Simplify (+ 1 0) into 1
0.314 * [backup-simplify]: Simplify (sqrt 1) into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.315 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.315 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.315 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.315 * [taylor]: Taking taylor expansion of b_2 in b_2
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.316 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.316 * [taylor]: Taking taylor expansion of a in b_2
0.316 * [backup-simplify]: Simplify a into a
0.316 * [taylor]: Taking taylor expansion of c in b_2
0.316 * [backup-simplify]: Simplify c into c
0.316 * [backup-simplify]: Simplify (* a c) into (* a c)
0.316 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.316 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (sqrt 1) into 1
0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.318 * [taylor]: Taking taylor expansion of 1 in a
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of 0 in a
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [taylor]: Taking taylor expansion of 1 in c
0.318 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.319 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.320 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.320 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
0.320 * [taylor]: Taking taylor expansion of -1/2 in a
0.320 * [backup-simplify]: Simplify -1/2 into -1/2
0.320 * [taylor]: Taking taylor expansion of (* a c) in a
0.320 * [taylor]: Taking taylor expansion of a in a
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of c in a
0.320 * [backup-simplify]: Simplify c into c
0.320 * [backup-simplify]: Simplify (* 0 c) into 0
0.321 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.321 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
0.321 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
0.321 * [taylor]: Taking taylor expansion of -1/2 in c
0.321 * [backup-simplify]: Simplify -1/2 into -1/2
0.321 * [taylor]: Taking taylor expansion of c in c
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.321 * [backup-simplify]: Simplify -1/2 into -1/2
0.321 * [taylor]: Taking taylor expansion of 0 in c
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [taylor]: Taking taylor expansion of 0 in c
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.323 * [backup-simplify]: Simplify (- 0) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in a
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.324 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in c
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [taylor]: Taking taylor expansion of 0 in c
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [taylor]: Taking taylor expansion of 0 in c
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.327 * [backup-simplify]: Simplify (- 0) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.328 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
0.328 * [taylor]: Taking taylor expansion of -1/8 in a
0.328 * [backup-simplify]: Simplify -1/8 into -1/8
0.328 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.328 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.328 * [taylor]: Taking taylor expansion of a in a
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.328 * [taylor]: Taking taylor expansion of c in a
0.328 * [backup-simplify]: Simplify c into c
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.329 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.329 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
0.329 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.330 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in c
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [taylor]: Taking taylor expansion of 0 in c
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in c
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [taylor]: Taking taylor expansion of 0 in c
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [taylor]: Taking taylor expansion of 0 in c
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (/ 1 (/ 1 b_2))))) (* -1/2 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (/ 1 b_2))))) into (- b_2 (* 1/2 (/ (* a c) b_2)))
0.331 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
0.331 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
0.332 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.332 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.332 * [taylor]: Taking taylor expansion of b_2 in c
0.332 * [backup-simplify]: Simplify b_2 into b_2
0.332 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.332 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.332 * [taylor]: Taking taylor expansion of (* a c) in c
0.332 * [taylor]: Taking taylor expansion of a in c
0.332 * [backup-simplify]: Simplify a into a
0.332 * [taylor]: Taking taylor expansion of c in c
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* a 0) into 0
0.332 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.332 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.332 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.332 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.333 * [backup-simplify]: Simplify (sqrt 0) into 0
0.333 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.333 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.333 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.333 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.333 * [taylor]: Taking taylor expansion of b_2 in a
0.333 * [backup-simplify]: Simplify b_2 into b_2
0.333 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.333 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.333 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.333 * [taylor]: Taking taylor expansion of (* a c) in a
0.333 * [taylor]: Taking taylor expansion of a in a
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [taylor]: Taking taylor expansion of c in a
0.333 * [backup-simplify]: Simplify c into c
0.333 * [backup-simplify]: Simplify (* 0 c) into 0
0.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.334 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.334 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.334 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.334 * [backup-simplify]: Simplify (sqrt 0) into 0
0.334 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.335 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.335 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.335 * [taylor]: Taking taylor expansion of b_2 in b_2
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.335 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.335 * [taylor]: Taking taylor expansion of a in b_2
0.335 * [backup-simplify]: Simplify a into a
0.335 * [taylor]: Taking taylor expansion of c in b_2
0.335 * [backup-simplify]: Simplify c into c
0.335 * [backup-simplify]: Simplify (* a c) into (* a c)
0.335 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.336 * [backup-simplify]: Simplify (sqrt 1) into 1
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.337 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.337 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.337 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.337 * [taylor]: Taking taylor expansion of b_2 in b_2
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (* 1 1) into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.338 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.338 * [taylor]: Taking taylor expansion of a in b_2
0.338 * [backup-simplify]: Simplify a into a
0.338 * [taylor]: Taking taylor expansion of c in b_2
0.338 * [backup-simplify]: Simplify c into c
0.338 * [backup-simplify]: Simplify (* a c) into (* a c)
0.338 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.338 * [backup-simplify]: Simplify (+ 1 0) into 1
0.339 * [backup-simplify]: Simplify (sqrt 1) into 1
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.340 * [taylor]: Taking taylor expansion of 1 in a
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of 0 in a
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [taylor]: Taking taylor expansion of 1 in c
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.342 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.343 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.343 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
0.343 * [taylor]: Taking taylor expansion of -1/2 in a
0.343 * [backup-simplify]: Simplify -1/2 into -1/2
0.343 * [taylor]: Taking taylor expansion of (* a c) in a
0.343 * [taylor]: Taking taylor expansion of a in a
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [taylor]: Taking taylor expansion of c in a
0.343 * [backup-simplify]: Simplify c into c
0.343 * [backup-simplify]: Simplify (* 0 c) into 0
0.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.343 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
0.343 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
0.343 * [taylor]: Taking taylor expansion of -1/2 in c
0.343 * [backup-simplify]: Simplify -1/2 into -1/2
0.343 * [taylor]: Taking taylor expansion of c in c
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.344 * [backup-simplify]: Simplify -1/2 into -1/2
0.344 * [taylor]: Taking taylor expansion of 0 in c
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [taylor]: Taking taylor expansion of 0 in c
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.345 * [backup-simplify]: Simplify (- 0) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.346 * [taylor]: Taking taylor expansion of 0 in a
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.347 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in c
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [taylor]: Taking taylor expansion of 0 in c
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [taylor]: Taking taylor expansion of 0 in c
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.349 * [backup-simplify]: Simplify (- 0) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.350 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
0.350 * [taylor]: Taking taylor expansion of -1/8 in a
0.351 * [backup-simplify]: Simplify -1/8 into -1/8
0.351 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.351 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.351 * [taylor]: Taking taylor expansion of a in a
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.351 * [taylor]: Taking taylor expansion of c in a
0.351 * [backup-simplify]: Simplify c into c
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.351 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.351 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
0.351 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.352 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.352 * [taylor]: Taking taylor expansion of 0 in c
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [taylor]: Taking taylor expansion of 0 in c
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.353 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.353 * [taylor]: Taking taylor expansion of 0 in c
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [taylor]: Taking taylor expansion of 0 in c
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [taylor]: Taking taylor expansion of 0 in c
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b_2)))))) (* -1/2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b_2)))))) into (- (* 1/2 (/ (* a c) b_2)) b_2)
0.354 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.354 * [backup-simplify]: Simplify (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) into (- (sqrt (- (pow b_2 2) (* a c))) b_2)
0.354 * [approximate]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in (b_2 a c) around 0
0.354 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in c
0.354 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
0.354 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.354 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.354 * [taylor]: Taking taylor expansion of b_2 in c
0.354 * [backup-simplify]: Simplify b_2 into b_2
0.354 * [taylor]: Taking taylor expansion of (* a c) in c
0.354 * [taylor]: Taking taylor expansion of a in c
0.354 * [backup-simplify]: Simplify a into a
0.354 * [taylor]: Taking taylor expansion of c in c
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.354 * [backup-simplify]: Simplify (* a 0) into 0
0.355 * [backup-simplify]: Simplify (- 0) into 0
0.355 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.355 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.355 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.355 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.355 * [backup-simplify]: Simplify (- a) into (- a)
0.355 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
0.355 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
0.355 * [taylor]: Taking taylor expansion of b_2 in c
0.355 * [backup-simplify]: Simplify b_2 into b_2
0.355 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in a
0.356 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
0.356 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.356 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.356 * [taylor]: Taking taylor expansion of b_2 in a
0.356 * [backup-simplify]: Simplify b_2 into b_2
0.356 * [taylor]: Taking taylor expansion of (* a c) in a
0.356 * [taylor]: Taking taylor expansion of a in a
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of c in a
0.356 * [backup-simplify]: Simplify c into c
0.356 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.356 * [backup-simplify]: Simplify (* 0 c) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.356 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.356 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.357 * [backup-simplify]: Simplify (- c) into (- c)
0.357 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
0.357 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
0.357 * [taylor]: Taking taylor expansion of b_2 in a
0.357 * [backup-simplify]: Simplify b_2 into b_2
0.357 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.357 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.357 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.357 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.357 * [taylor]: Taking taylor expansion of b_2 in b_2
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.357 * [taylor]: Taking taylor expansion of a in b_2
0.357 * [backup-simplify]: Simplify a into a
0.357 * [taylor]: Taking taylor expansion of c in b_2
0.357 * [backup-simplify]: Simplify c into c
0.357 * [backup-simplify]: Simplify (* a c) into (* a c)
0.357 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.357 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.357 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.357 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.357 * [backup-simplify]: Simplify (- 0) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.358 * [taylor]: Taking taylor expansion of b_2 in b_2
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.358 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.358 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.358 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.358 * [taylor]: Taking taylor expansion of b_2 in b_2
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.358 * [taylor]: Taking taylor expansion of a in b_2
0.358 * [backup-simplify]: Simplify a into a
0.358 * [taylor]: Taking taylor expansion of c in b_2
0.358 * [backup-simplify]: Simplify c into c
0.358 * [backup-simplify]: Simplify (* a c) into (* a c)
0.358 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.358 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.358 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.358 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.359 * [backup-simplify]: Simplify (- 0) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.359 * [taylor]: Taking taylor expansion of b_2 in b_2
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (- 0) into 0
0.359 * [backup-simplify]: Simplify (+ (sqrt (- (* a c))) 0) into (sqrt (- (* a c)))
0.359 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.359 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.359 * [taylor]: Taking taylor expansion of (* a c) in a
0.359 * [taylor]: Taking taylor expansion of a in a
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [taylor]: Taking taylor expansion of c in a
0.359 * [backup-simplify]: Simplify c into c
0.359 * [backup-simplify]: Simplify (* 0 c) into 0
0.360 * [backup-simplify]: Simplify (- 0) into 0
0.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.360 * [backup-simplify]: Simplify (- c) into (- c)
0.361 * [backup-simplify]: Simplify (sqrt 0) into 0
0.361 * [backup-simplify]: Simplify (- c) into (- c)
0.361 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.361 * [taylor]: Taking taylor expansion of 0 in c
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (- 1) into -1
0.362 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.362 * [taylor]: Taking taylor expansion of -1 in a
0.362 * [backup-simplify]: Simplify -1 into -1
0.362 * [taylor]: Taking taylor expansion of -1 in c
0.362 * [backup-simplify]: Simplify -1 into -1
0.362 * [backup-simplify]: Simplify -1 into -1
0.362 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.362 * [taylor]: Taking taylor expansion of +nan.0 in c
0.362 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.362 * [taylor]: Taking taylor expansion of c in c
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.363 * [backup-simplify]: Simplify (- 0) into 0
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
0.364 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- (* a c)))) 0) into (* 1/2 (/ 1 (sqrt (- (* a c)))))
0.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (* a c))))) in a
0.365 * [taylor]: Taking taylor expansion of 1/2 in a
0.365 * [backup-simplify]: Simplify 1/2 into 1/2
0.365 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (* a c)))) in a
0.365 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.365 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.365 * [taylor]: Taking taylor expansion of (* a c) in a
0.365 * [taylor]: Taking taylor expansion of a in a
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of c in a
0.365 * [backup-simplify]: Simplify c into c
0.365 * [backup-simplify]: Simplify (* 0 c) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.365 * [backup-simplify]: Simplify (- c) into (- c)
0.366 * [backup-simplify]: Simplify (sqrt 0) into 0
0.366 * [backup-simplify]: Simplify (- c) into (- c)
0.366 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.366 * [backup-simplify]: Simplify (/ 1 (* +nan.0 c)) into (/ +nan.0 c)
0.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.367 * [backup-simplify]: Simplify (- 0) into 0
0.367 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.368 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
0.368 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 (/ +nan.0 c))) into (- +nan.0)
0.368 * [taylor]: Taking taylor expansion of (- +nan.0) in c
0.368 * [taylor]: Taking taylor expansion of +nan.0 in c
0.368 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.369 * [taylor]: Taking taylor expansion of 0 in c
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.370 * [backup-simplify]: Simplify (- 0) into 0
0.370 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.370 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
0.370 * [taylor]: Taking taylor expansion of +nan.0 in c
0.370 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.370 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.370 * [taylor]: Taking taylor expansion of c in c
0.370 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.373 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* c (* a 1))) (+ (* (- +nan.0) (pow (* 1 (* 1 b_2)) 2)) (* -1 (* 1 (* 1 b_2))))) into (- (+ (* +nan.0 (pow b_2 2)) (- b_2 (* +nan.0 (* a c)))))
0.374 * [backup-simplify]: Simplify (+ (- (/ 1 b_2)) (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))))) into (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))
0.374 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in (b_2 a c) around 0
0.374 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in c
0.374 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.374 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.374 * [taylor]: Taking taylor expansion of b_2 in c
0.374 * [backup-simplify]: Simplify b_2 into b_2
0.374 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.374 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.374 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.374 * [taylor]: Taking taylor expansion of (* a c) in c
0.374 * [taylor]: Taking taylor expansion of a in c
0.374 * [backup-simplify]: Simplify a into a
0.374 * [taylor]: Taking taylor expansion of c in c
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (* a 0) into 0
0.375 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.375 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.375 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.375 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.375 * [backup-simplify]: Simplify (sqrt 0) into 0
0.375 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.375 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.375 * [taylor]: Taking taylor expansion of b_2 in c
0.376 * [backup-simplify]: Simplify b_2 into b_2
0.376 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.376 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in a
0.376 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.376 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.376 * [taylor]: Taking taylor expansion of b_2 in a
0.376 * [backup-simplify]: Simplify b_2 into b_2
0.376 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.376 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.376 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.376 * [taylor]: Taking taylor expansion of (* a c) in a
0.376 * [taylor]: Taking taylor expansion of a in a
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [taylor]: Taking taylor expansion of c in a
0.376 * [backup-simplify]: Simplify c into c
0.376 * [backup-simplify]: Simplify (* 0 c) into 0
0.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.381 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.381 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.381 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.381 * [backup-simplify]: Simplify (sqrt 0) into 0
0.382 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.382 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.382 * [taylor]: Taking taylor expansion of b_2 in a
0.382 * [backup-simplify]: Simplify b_2 into b_2
0.382 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.382 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.382 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.382 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.382 * [taylor]: Taking taylor expansion of b_2 in b_2
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.382 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.382 * [taylor]: Taking taylor expansion of a in b_2
0.382 * [backup-simplify]: Simplify a into a
0.382 * [taylor]: Taking taylor expansion of c in b_2
0.382 * [backup-simplify]: Simplify c into c
0.382 * [backup-simplify]: Simplify (* a c) into (* a c)
0.383 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.383 * [backup-simplify]: Simplify (+ 1 0) into 1
0.383 * [backup-simplify]: Simplify (sqrt 1) into 1
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.385 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.385 * [taylor]: Taking taylor expansion of b_2 in b_2
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.385 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.385 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.385 * [taylor]: Taking taylor expansion of b_2 in b_2
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify (* 1 1) into 1
0.386 * [backup-simplify]: Simplify (/ 1 1) into 1
0.386 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.386 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.386 * [taylor]: Taking taylor expansion of a in b_2
0.386 * [backup-simplify]: Simplify a into a
0.386 * [taylor]: Taking taylor expansion of c in b_2
0.386 * [backup-simplify]: Simplify c into c
0.386 * [backup-simplify]: Simplify (* a c) into (* a c)
0.386 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.386 * [backup-simplify]: Simplify (+ 1 0) into 1
0.386 * [backup-simplify]: Simplify (sqrt 1) into 1
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.388 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.388 * [taylor]: Taking taylor expansion of b_2 in b_2
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.388 * [backup-simplify]: Simplify (- 1) into -1
0.389 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.389 * [taylor]: Taking taylor expansion of 0 in a
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (- 0) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [taylor]: Taking taylor expansion of 0 in a
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [taylor]: Taking taylor expansion of 0 in c
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.391 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.392 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (- 0) into 0
0.393 * [backup-simplify]: Simplify (+ (/ -1/2 (* a c)) 0) into (- (* 1/2 (/ 1 (* a c))))
0.393 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* a c)))) in a
0.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a c))) in a
0.393 * [taylor]: Taking taylor expansion of 1/2 in a
0.393 * [backup-simplify]: Simplify 1/2 into 1/2
0.393 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.393 * [taylor]: Taking taylor expansion of (* a c) in a
0.393 * [taylor]: Taking taylor expansion of a in a
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [taylor]: Taking taylor expansion of c in a
0.393 * [backup-simplify]: Simplify c into c
0.393 * [backup-simplify]: Simplify (* 0 c) into 0
0.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.393 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.393 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.394 * [backup-simplify]: Simplify (- (/ 1/2 c)) into (- (* 1/2 (/ 1 c)))
0.394 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 c))) in c
0.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in c
0.394 * [taylor]: Taking taylor expansion of 1/2 in c
0.394 * [backup-simplify]: Simplify 1/2 into 1/2
0.394 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.394 * [taylor]: Taking taylor expansion of c in c
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (/ 1 1) into 1
0.394 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.394 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.394 * [backup-simplify]: Simplify -1/2 into -1/2
0.394 * [taylor]: Taking taylor expansion of 0 in c
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [taylor]: Taking taylor expansion of 0 in c
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.396 * [backup-simplify]: Simplify (- 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (- 0) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in a
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.399 * [backup-simplify]: Simplify (- 0) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in c
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [taylor]: Taking taylor expansion of 0 in c
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [taylor]: Taking taylor expansion of 0 in c
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.402 * [backup-simplify]: Simplify (- 0) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (- 0) into 0
0.404 * [backup-simplify]: Simplify (+ (/ -1/8 (* (pow a 2) (pow c 2))) 0) into (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))
0.404 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) in a
0.404 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))) in a
0.404 * [taylor]: Taking taylor expansion of 1/8 in a
0.404 * [backup-simplify]: Simplify 1/8 into 1/8
0.404 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow c 2))) in a
0.404 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.404 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.404 * [taylor]: Taking taylor expansion of a in a
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.405 * [taylor]: Taking taylor expansion of c in a
0.405 * [backup-simplify]: Simplify c into c
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.405 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.405 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.405 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.406 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (pow c 2)))) into 0
0.407 * [backup-simplify]: Simplify (- 0) into 0
0.407 * [taylor]: Taking taylor expansion of 0 in c
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [taylor]: Taking taylor expansion of 0 in c
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
0.408 * [backup-simplify]: Simplify (- 0) into 0
0.408 * [taylor]: Taking taylor expansion of 0 in c
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [taylor]: Taking taylor expansion of 0 in c
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [taylor]: Taking taylor expansion of 0 in c
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (/ 1 b_2)))) into (* -1/2 (/ (* a c) b_2))
0.409 * [backup-simplify]: Simplify (+ (- (/ 1 (- b_2))) (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))))) into (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))
0.409 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in (b_2 a c) around 0
0.409 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in c
0.409 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.409 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.409 * [taylor]: Taking taylor expansion of b_2 in c
0.409 * [backup-simplify]: Simplify b_2 into b_2
0.409 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.409 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.409 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.409 * [taylor]: Taking taylor expansion of (* a c) in c
0.409 * [taylor]: Taking taylor expansion of a in c
0.409 * [backup-simplify]: Simplify a into a
0.409 * [taylor]: Taking taylor expansion of c in c
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (* a 0) into 0
0.410 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.410 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.410 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.410 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.410 * [backup-simplify]: Simplify (sqrt 0) into 0
0.410 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.411 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.411 * [taylor]: Taking taylor expansion of b_2 in c
0.411 * [backup-simplify]: Simplify b_2 into b_2
0.411 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.411 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in a
0.411 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.411 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.411 * [taylor]: Taking taylor expansion of b_2 in a
0.411 * [backup-simplify]: Simplify b_2 into b_2
0.411 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.411 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.411 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.411 * [taylor]: Taking taylor expansion of (* a c) in a
0.411 * [taylor]: Taking taylor expansion of a in a
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [taylor]: Taking taylor expansion of c in a
0.411 * [backup-simplify]: Simplify c into c
0.411 * [backup-simplify]: Simplify (* 0 c) into 0
0.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.411 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.411 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.411 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.412 * [backup-simplify]: Simplify (sqrt 0) into 0
0.412 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.412 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.412 * [taylor]: Taking taylor expansion of b_2 in a
0.412 * [backup-simplify]: Simplify b_2 into b_2
0.412 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.412 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.412 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.412 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.412 * [taylor]: Taking taylor expansion of b_2 in b_2
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.413 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.413 * [taylor]: Taking taylor expansion of a in b_2
0.413 * [backup-simplify]: Simplify a into a
0.413 * [taylor]: Taking taylor expansion of c in b_2
0.413 * [backup-simplify]: Simplify c into c
0.413 * [backup-simplify]: Simplify (* a c) into (* a c)
0.413 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.413 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (sqrt 1) into 1
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.415 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.415 * [taylor]: Taking taylor expansion of b_2 in b_2
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.415 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.415 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.415 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.415 * [taylor]: Taking taylor expansion of b_2 in b_2
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.416 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.416 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.416 * [taylor]: Taking taylor expansion of a in b_2
0.416 * [backup-simplify]: Simplify a into a
0.416 * [taylor]: Taking taylor expansion of c in b_2
0.416 * [backup-simplify]: Simplify c into c
0.416 * [backup-simplify]: Simplify (* a c) into (* a c)
0.416 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.417 * [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
0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.418 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.418 * [taylor]: Taking taylor expansion of b_2 in b_2
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [backup-simplify]: Simplify (+ 1 1) into 2
0.419 * [taylor]: Taking taylor expansion of 2 in a
0.419 * [backup-simplify]: Simplify 2 into 2
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [taylor]: Taking taylor expansion of 0 in a
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [taylor]: Taking taylor expansion of 2 in c
0.420 * [backup-simplify]: Simplify 2 into 2
0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.421 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.422 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ (/ -1/2 (* a c)) 0) into (- (* 1/2 (/ 1 (* a c))))
0.422 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* a c)))) in a
0.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a c))) in a
0.422 * [taylor]: Taking taylor expansion of 1/2 in a
0.422 * [backup-simplify]: Simplify 1/2 into 1/2
0.422 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.422 * [taylor]: Taking taylor expansion of (* a c) in a
0.422 * [taylor]: Taking taylor expansion of a in a
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [taylor]: Taking taylor expansion of c in a
0.422 * [backup-simplify]: Simplify c into c
0.422 * [backup-simplify]: Simplify (* 0 c) into 0
0.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.423 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.423 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.423 * [backup-simplify]: Simplify (- (/ 1/2 c)) into (- (* 1/2 (/ 1 c)))
0.423 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 c))) in c
0.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in c
0.423 * [taylor]: Taking taylor expansion of 1/2 in c
0.423 * [backup-simplify]: Simplify 1/2 into 1/2
0.423 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.423 * [taylor]: Taking taylor expansion of c in c
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.424 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.424 * [backup-simplify]: Simplify -1/2 into -1/2
0.424 * [taylor]: Taking taylor expansion of 0 in c
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [taylor]: Taking taylor expansion of 0 in c
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 2 into 2
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.425 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.427 * [taylor]: Taking taylor expansion of 0 in a
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.428 * [backup-simplify]: Simplify (- 0) into 0
0.428 * [taylor]: Taking taylor expansion of 0 in c
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [taylor]: Taking taylor expansion of 0 in c
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [taylor]: Taking taylor expansion of 0 in c
0.428 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.429 * [backup-simplify]: Simplify (- 0) into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ (/ -1/8 (* (pow a 2) (pow c 2))) 0) into (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))
0.433 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) in a
0.433 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))) in a
0.433 * [taylor]: Taking taylor expansion of 1/8 in a
0.433 * [backup-simplify]: Simplify 1/8 into 1/8
0.433 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow c 2))) in a
0.433 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.433 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.433 * [taylor]: Taking taylor expansion of a in a
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.433 * [taylor]: Taking taylor expansion of c in a
0.433 * [backup-simplify]: Simplify c into c
0.434 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.434 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.434 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.434 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (pow c 2)))) into 0
0.436 * [backup-simplify]: Simplify (- 0) into 0
0.436 * [taylor]: Taking taylor expansion of 0 in c
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [taylor]: Taking taylor expansion of 0 in c
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
0.437 * [backup-simplify]: Simplify (- 0) into 0
0.437 * [taylor]: Taking taylor expansion of 0 in c
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [taylor]: Taking taylor expansion of 0 in c
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [taylor]: Taking taylor expansion of 0 in c
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (+ (* 2 (* 1 (* 1 (/ 1 (/ 1 (- b_2)))))) (* -1/2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b_2)))))) into (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
0.438 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
0.438 * [backup-simplify]: Simplify (- (* b_2 b_2) (* a c)) into (- (pow b_2 2) (* a c))
0.438 * [approximate]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in (b_2 a c) around 0
0.438 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.438 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.438 * [taylor]: Taking taylor expansion of b_2 in c
0.438 * [backup-simplify]: Simplify b_2 into b_2
0.438 * [taylor]: Taking taylor expansion of (* a c) in c
0.438 * [taylor]: Taking taylor expansion of a in c
0.438 * [backup-simplify]: Simplify a into a
0.438 * [taylor]: Taking taylor expansion of c in c
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.438 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.438 * [taylor]: Taking taylor expansion of b_2 in a
0.438 * [backup-simplify]: Simplify b_2 into b_2
0.438 * [taylor]: Taking taylor expansion of (* a c) in a
0.438 * [taylor]: Taking taylor expansion of a in a
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [taylor]: Taking taylor expansion of c in a
0.438 * [backup-simplify]: Simplify c into c
0.438 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.438 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.438 * [taylor]: Taking taylor expansion of b_2 in b_2
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.438 * [taylor]: Taking taylor expansion of a in b_2
0.438 * [backup-simplify]: Simplify a into a
0.438 * [taylor]: Taking taylor expansion of c in b_2
0.438 * [backup-simplify]: Simplify c into c
0.438 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.438 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.438 * [taylor]: Taking taylor expansion of b_2 in b_2
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.439 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.439 * [taylor]: Taking taylor expansion of a in b_2
0.439 * [backup-simplify]: Simplify a into a
0.439 * [taylor]: Taking taylor expansion of c in b_2
0.439 * [backup-simplify]: Simplify c into c
0.439 * [backup-simplify]: Simplify (* a c) into (* a c)
0.439 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.439 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.439 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.439 * [taylor]: Taking taylor expansion of (* a c) in a
0.439 * [taylor]: Taking taylor expansion of a in a
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [taylor]: Taking taylor expansion of c in a
0.439 * [backup-simplify]: Simplify c into c
0.439 * [backup-simplify]: Simplify (* 0 c) into 0
0.439 * [backup-simplify]: Simplify (- 0) into 0
0.439 * [taylor]: Taking taylor expansion of 0 in c
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.440 * [backup-simplify]: Simplify (- 0) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in a
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [taylor]: Taking taylor expansion of 0 in c
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.440 * [backup-simplify]: Simplify (- c) into (- c)
0.440 * [taylor]: Taking taylor expansion of (- c) in c
0.440 * [taylor]: Taking taylor expansion of c in c
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.441 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.442 * [backup-simplify]: Simplify (+ 1 0) into 1
0.442 * [taylor]: Taking taylor expansion of 1 in a
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [taylor]: Taking taylor expansion of 1 in c
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [taylor]: Taking taylor expansion of 0 in c
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.443 * [backup-simplify]: Simplify (- 0) into 0
0.443 * [taylor]: Taking taylor expansion of 0 in c
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (- 1) into -1
0.443 * [backup-simplify]: Simplify -1 into -1
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.444 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [taylor]: Taking taylor expansion of 0 in a
0.444 * [backup-simplify]: Simplify 0 into 0
0.445 * [taylor]: Taking taylor expansion of 0 in c
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [taylor]: Taking taylor expansion of 0 in c
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [taylor]: Taking taylor expansion of 0 in c
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [taylor]: Taking taylor expansion of 0 in c
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 (+ (* -1 (* c (* a 1))) (* 1 (pow (* 1 (* 1 b_2)) 2))) into (- (pow b_2 2) (* a c))
0.446 * [backup-simplify]: Simplify (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
0.446 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
0.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.446 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.446 * [taylor]: Taking taylor expansion of b_2 in c
0.446 * [backup-simplify]: Simplify b_2 into b_2
0.446 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.446 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.446 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.446 * [taylor]: Taking taylor expansion of (* a c) in c
0.446 * [taylor]: Taking taylor expansion of a in c
0.446 * [backup-simplify]: Simplify a into a
0.447 * [taylor]: Taking taylor expansion of c in c
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (* a 0) into 0
0.447 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.447 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.447 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.447 * [taylor]: Taking taylor expansion of b_2 in a
0.447 * [backup-simplify]: Simplify b_2 into b_2
0.447 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.447 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.447 * [taylor]: Taking taylor expansion of (* a c) in a
0.447 * [taylor]: Taking taylor expansion of a in a
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [taylor]: Taking taylor expansion of c in a
0.447 * [backup-simplify]: Simplify c into c
0.447 * [backup-simplify]: Simplify (* 0 c) into 0
0.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.448 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.448 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.448 * [taylor]: Taking taylor expansion of b_2 in b_2
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.449 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.449 * [taylor]: Taking taylor expansion of a in b_2
0.449 * [backup-simplify]: Simplify a into a
0.449 * [taylor]: Taking taylor expansion of c in b_2
0.449 * [backup-simplify]: Simplify c into c
0.449 * [backup-simplify]: Simplify (* a c) into (* a c)
0.449 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.449 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.449 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.449 * [taylor]: Taking taylor expansion of b_2 in b_2
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.449 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.449 * [taylor]: Taking taylor expansion of a in b_2
0.449 * [backup-simplify]: Simplify a into a
0.449 * [taylor]: Taking taylor expansion of c in b_2
0.449 * [backup-simplify]: Simplify c into c
0.450 * [backup-simplify]: Simplify (* a c) into (* a c)
0.450 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.450 * [backup-simplify]: Simplify (+ 1 0) into 1
0.450 * [taylor]: Taking taylor expansion of 1 in a
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [taylor]: Taking taylor expansion of 0 in a
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [taylor]: Taking taylor expansion of 1 in c
0.451 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.452 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.452 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
0.452 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.452 * [taylor]: Taking taylor expansion of (* a c) in a
0.452 * [taylor]: Taking taylor expansion of a in a
0.452 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [taylor]: Taking taylor expansion of c in a
0.453 * [backup-simplify]: Simplify c into c
0.453 * [backup-simplify]: Simplify (* 0 c) into 0
0.453 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.453 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.453 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.453 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
0.453 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.453 * [taylor]: Taking taylor expansion of c in c
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.454 * [backup-simplify]: Simplify (- 1) into -1
0.454 * [backup-simplify]: Simplify -1 into -1
0.454 * [taylor]: Taking taylor expansion of 0 in c
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [taylor]: Taking taylor expansion of 0 in c
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [taylor]: Taking taylor expansion of 0 in a
0.456 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.457 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [taylor]: Taking taylor expansion of 0 in c
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [taylor]: Taking taylor expansion of 0 in c
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [taylor]: Taking taylor expansion of 0 in c
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (- 0) into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.460 * [backup-simplify]: Simplify (- 0) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [taylor]: Taking taylor expansion of 0 in a
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [taylor]: Taking taylor expansion of 0 in c
0.460 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [taylor]: Taking taylor expansion of 0 in c
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [taylor]: Taking taylor expansion of 0 in c
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [taylor]: Taking taylor expansion of 0 in c
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 b_2)))) 2)) (* -1 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) 1)))) into (- (pow b_2 2) (* a c))
0.462 * [backup-simplify]: Simplify (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
0.462 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.462 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.462 * [taylor]: Taking taylor expansion of b_2 in c
0.462 * [backup-simplify]: Simplify b_2 into b_2
0.462 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.462 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.462 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.462 * [taylor]: Taking taylor expansion of (* a c) in c
0.462 * [taylor]: Taking taylor expansion of a in c
0.462 * [backup-simplify]: Simplify a into a
0.462 * [taylor]: Taking taylor expansion of c in c
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* a 0) into 0
0.463 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.463 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.463 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.463 * [taylor]: Taking taylor expansion of b_2 in a
0.463 * [backup-simplify]: Simplify b_2 into b_2
0.463 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.463 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.463 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.463 * [taylor]: Taking taylor expansion of (* a c) in a
0.463 * [taylor]: Taking taylor expansion of a in a
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [taylor]: Taking taylor expansion of c in a
0.463 * [backup-simplify]: Simplify c into c
0.463 * [backup-simplify]: Simplify (* 0 c) into 0
0.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.463 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.463 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.463 * [taylor]: Taking taylor expansion of b_2 in b_2
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (* 1 1) into 1
0.464 * [backup-simplify]: Simplify (/ 1 1) into 1
0.464 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.464 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.464 * [taylor]: Taking taylor expansion of a in b_2
0.464 * [backup-simplify]: Simplify a into a
0.464 * [taylor]: Taking taylor expansion of c in b_2
0.464 * [backup-simplify]: Simplify c into c
0.464 * [backup-simplify]: Simplify (* a c) into (* a c)
0.464 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.464 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.464 * [taylor]: Taking taylor expansion of b_2 in b_2
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (* 1 1) into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.465 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.465 * [taylor]: Taking taylor expansion of a in b_2
0.465 * [backup-simplify]: Simplify a into a
0.465 * [taylor]: Taking taylor expansion of c in b_2
0.465 * [backup-simplify]: Simplify c into c
0.465 * [backup-simplify]: Simplify (* a c) into (* a c)
0.465 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.465 * [backup-simplify]: Simplify (+ 1 0) into 1
0.465 * [taylor]: Taking taylor expansion of 1 in a
0.465 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in a
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [taylor]: Taking taylor expansion of 1 in c
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.468 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
0.468 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.468 * [taylor]: Taking taylor expansion of (* a c) in a
0.468 * [taylor]: Taking taylor expansion of a in a
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of c in a
0.468 * [backup-simplify]: Simplify c into c
0.468 * [backup-simplify]: Simplify (* 0 c) into 0
0.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.468 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.468 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.468 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
0.468 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.468 * [taylor]: Taking taylor expansion of c in c
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [backup-simplify]: Simplify (- 1) into -1
0.469 * [backup-simplify]: Simplify -1 into -1
0.469 * [taylor]: Taking taylor expansion of 0 in c
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [taylor]: Taking taylor expansion of 0 in c
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.471 * [backup-simplify]: Simplify (- 0) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [taylor]: Taking taylor expansion of 0 in a
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.472 * [backup-simplify]: Simplify (- 0) into 0
0.472 * [taylor]: Taking taylor expansion of 0 in c
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [taylor]: Taking taylor expansion of 0 in c
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [taylor]: Taking taylor expansion of 0 in c
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (- 0) into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.475 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [taylor]: Taking taylor expansion of 0 in a
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [taylor]: Taking taylor expansion of 0 in c
0.475 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [taylor]: Taking taylor expansion of 0 in c
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [taylor]: Taking taylor expansion of 0 in c
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [taylor]: Taking taylor expansion of 0 in c
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- b_2))))) 2)) (* -1 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) 1)))) into (- (pow b_2 2) (* a c))
0.481 * * * * [progress]: [ 4 / 4 ] generating series at (2)
0.481 * [backup-simplify]: Simplify (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) into (/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a)
0.481 * [approximate]: Taking taylor expansion of (/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a) in (b_2 a c) around 0
0.481 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a) in c
0.481 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in c
0.481 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
0.481 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.481 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.481 * [taylor]: Taking taylor expansion of b_2 in c
0.481 * [backup-simplify]: Simplify b_2 into b_2
0.481 * [taylor]: Taking taylor expansion of (* a c) in c
0.481 * [taylor]: Taking taylor expansion of a in c
0.481 * [backup-simplify]: Simplify a into a
0.481 * [taylor]: Taking taylor expansion of c in c
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.481 * [backup-simplify]: Simplify (* a 0) into 0
0.482 * [backup-simplify]: Simplify (- 0) into 0
0.482 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.482 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.482 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.482 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.482 * [backup-simplify]: Simplify (- a) into (- a)
0.482 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
0.482 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
0.482 * [taylor]: Taking taylor expansion of b_2 in c
0.482 * [backup-simplify]: Simplify b_2 into b_2
0.482 * [taylor]: Taking taylor expansion of a in c
0.482 * [backup-simplify]: Simplify a into a
0.482 * [backup-simplify]: Simplify (- b_2) into (- b_2)
0.482 * [backup-simplify]: Simplify (+ b_2 (- b_2)) into 0
0.483 * [backup-simplify]: Simplify (- 0) into 0
0.483 * [backup-simplify]: Simplify (+ (* -1/2 (/ a b_2)) 0) into (- (* 1/2 (/ a b_2)))
0.483 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ a b_2))) a) into (/ -1/2 b_2)
0.483 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a) in a
0.483 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in a
0.483 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
0.483 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.483 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.483 * [taylor]: Taking taylor expansion of b_2 in a
0.483 * [backup-simplify]: Simplify b_2 into b_2
0.483 * [taylor]: Taking taylor expansion of (* a c) in a
0.483 * [taylor]: Taking taylor expansion of a in a
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [taylor]: Taking taylor expansion of c in a
0.483 * [backup-simplify]: Simplify c into c
0.483 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.483 * [backup-simplify]: Simplify (* 0 c) into 0
0.483 * [backup-simplify]: Simplify (- 0) into 0
0.484 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.484 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.484 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.484 * [backup-simplify]: Simplify (- c) into (- c)
0.484 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
0.484 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
0.484 * [taylor]: Taking taylor expansion of b_2 in a
0.484 * [backup-simplify]: Simplify b_2 into b_2
0.484 * [taylor]: Taking taylor expansion of a in a
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (- b_2) into (- b_2)
0.484 * [backup-simplify]: Simplify (+ b_2 (- b_2)) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.485 * [backup-simplify]: Simplify (+ (* -1/2 (/ c b_2)) 0) into (- (* 1/2 (/ c b_2)))
0.485 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ c b_2))) 1) into (* -1/2 (/ c b_2))
0.485 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a) in b_2
0.485 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.485 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.485 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.485 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.485 * [taylor]: Taking taylor expansion of b_2 in b_2
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.485 * [taylor]: Taking taylor expansion of a in b_2
0.485 * [backup-simplify]: Simplify a into a
0.485 * [taylor]: Taking taylor expansion of c in b_2
0.485 * [backup-simplify]: Simplify c into c
0.485 * [backup-simplify]: Simplify (* a c) into (* a c)
0.485 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.485 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.485 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.485 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.486 * [taylor]: Taking taylor expansion of b_2 in b_2
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [taylor]: Taking taylor expansion of a in b_2
0.486 * [backup-simplify]: Simplify a into a
0.486 * [backup-simplify]: Simplify (- 0) into 0
0.486 * [backup-simplify]: Simplify (+ (sqrt (- (* a c))) 0) into (sqrt (- (* a c)))
0.486 * [backup-simplify]: Simplify (/ (sqrt (- (* a c))) a) into (/ (sqrt (- (* a c))) a)
0.486 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a) in b_2
0.486 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.486 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.486 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.486 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.486 * [taylor]: Taking taylor expansion of b_2 in b_2
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.486 * [taylor]: Taking taylor expansion of a in b_2
0.486 * [backup-simplify]: Simplify a into a
0.487 * [taylor]: Taking taylor expansion of c in b_2
0.487 * [backup-simplify]: Simplify c into c
0.487 * [backup-simplify]: Simplify (* a c) into (* a c)
0.487 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.487 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.487 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.487 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.487 * [taylor]: Taking taylor expansion of b_2 in b_2
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [taylor]: Taking taylor expansion of a in b_2
0.487 * [backup-simplify]: Simplify a into a
0.488 * [backup-simplify]: Simplify (- 0) into 0
0.488 * [backup-simplify]: Simplify (+ (sqrt (- (* a c))) 0) into (sqrt (- (* a c)))
0.488 * [backup-simplify]: Simplify (/ (sqrt (- (* a c))) a) into (/ (sqrt (- (* a c))) a)
0.488 * [taylor]: Taking taylor expansion of (/ (sqrt (- (* a c))) a) in a
0.488 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.488 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.488 * [taylor]: Taking taylor expansion of (* a c) in a
0.488 * [taylor]: Taking taylor expansion of a in a
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [taylor]: Taking taylor expansion of c in a
0.488 * [backup-simplify]: Simplify c into c
0.488 * [backup-simplify]: Simplify (* 0 c) into 0
0.488 * [backup-simplify]: Simplify (- 0) into 0
0.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.489 * [backup-simplify]: Simplify (- c) into (- c)
0.489 * [backup-simplify]: Simplify (sqrt 0) into 0
0.489 * [backup-simplify]: Simplify (- c) into (- c)
0.489 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.489 * [taylor]: Taking taylor expansion of a in a
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (/ (* +nan.0 c) 1) into (* +nan.0 c)
0.489 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.489 * [taylor]: Taking taylor expansion of +nan.0 in c
0.489 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.489 * [taylor]: Taking taylor expansion of c in c
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.491 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.491 * [backup-simplify]: Simplify (- 1) into -1
0.491 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.492 * [backup-simplify]: Simplify (- (/ -1 a) (+ (* (/ (sqrt (- (* a c))) a) (/ 0 a)))) into (- (/ 1 a))
0.492 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a
0.492 * [taylor]: Taking taylor expansion of (/ 1 a) in a
0.492 * [taylor]: Taking taylor expansion of a in a
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [taylor]: Taking taylor expansion of 0 in c
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.494 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.494 * [backup-simplify]: Simplify (- (/ (* +nan.0 (pow c 2)) 1) (+ (* (* +nan.0 c) (/ 0 1)))) into (- (* +nan.0 (pow c 2)))
0.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow c 2))) in c
0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
0.495 * [taylor]: Taking taylor expansion of +nan.0 in c
0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.495 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.495 * [taylor]: Taking taylor expansion of c in c
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 0))) into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (* 1 1) into 1
0.496 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.496 * [backup-simplify]: Simplify (- 0) into 0
0.496 * [backup-simplify]: Simplify (+ 1 0) into 1
0.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.497 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- (* a c)))) 0) into (* 1/2 (/ 1 (sqrt (- (* a c)))))
0.498 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 (sqrt (- (* a c))))) a) (+ (* (/ (sqrt (- (* a c))) a) (/ 0 a)) (* (- (/ 1 a)) (/ 0 a)))) into (* 1/2 (/ 1 (* (sqrt (- (* a c))) a)))
0.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (- (* a c))) a))) in a
0.498 * [taylor]: Taking taylor expansion of 1/2 in a
0.498 * [backup-simplify]: Simplify 1/2 into 1/2
0.498 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (- (* a c))) a)) in a
0.498 * [taylor]: Taking taylor expansion of (* (sqrt (- (* a c))) a) in a
0.498 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.498 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.498 * [taylor]: Taking taylor expansion of (* a c) in a
0.498 * [taylor]: Taking taylor expansion of a in a
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [taylor]: Taking taylor expansion of c in a
0.498 * [backup-simplify]: Simplify c into c
0.498 * [backup-simplify]: Simplify (* 0 c) into 0
0.498 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.498 * [backup-simplify]: Simplify (- c) into (- c)
0.499 * [backup-simplify]: Simplify (sqrt 0) into 0
0.499 * [backup-simplify]: Simplify (- c) into (- c)
0.499 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.499 * [taylor]: Taking taylor expansion of a in a
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (* 0 0) into 0
0.500 * [backup-simplify]: Simplify (+ (* 0 1) (* (* +nan.0 c) 0)) into 0
0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.501 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (* +nan.0 c) 1) (* (* +nan.0 (pow c 2)) 0))) into (- (* +nan.0 c))
0.502 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 c))) into (/ +nan.0 c)
0.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.503 * [backup-simplify]: Simplify (- 0) into 0
0.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.504 * [backup-simplify]: Simplify (- 0) into 0
0.505 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow c 2)) 2) (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 3)))))) (* 2 0)) into (* +nan.0 (pow c 4))
0.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (* +nan.0 c) 0) (+ (* (* +nan.0 (pow c 2)) 0) (+ (* (* +nan.0 (pow c 3)) 1) (* (* +nan.0 (pow c 4)) 0))))) into (- (* +nan.0 (pow c 3)))
0.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (* +nan.0 c) 0) (+ (* (* +nan.0 (pow c 2)) 1) (* (* +nan.0 (pow c 3)) 0)))) into (- (* +nan.0 (pow c 2)))
0.506 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 c) (/ (- (* +nan.0 (pow c 2))) (- (* +nan.0 c)))))) into (- +nan.0)
0.507 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 c) (/ (- (* +nan.0 (pow c 3))) (- (* +nan.0 c)))) (* (- +nan.0) (/ (- (* +nan.0 (pow c 2))) (- (* +nan.0 c)))))) into (- (* +nan.0 c))
0.507 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 c))) (+ (* 0 (- +nan.0)) (* 0 (/ +nan.0 c)))) into (- (* +nan.0 c))
0.508 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
0.508 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.508 * [taylor]: Taking taylor expansion of +nan.0 in c
0.508 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.508 * [taylor]: Taking taylor expansion of c in c
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.509 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
0.509 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in c
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.513 * [backup-simplify]: Simplify (- (/ (* +nan.0 (pow c 3)) 1) (+ (* (* +nan.0 c) (/ 0 1)) (* (- (* +nan.0 (pow c 2))) (/ 0 1)))) into (- (* +nan.0 (pow c 3)))
0.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow c 3))) in c
0.513 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
0.513 * [taylor]: Taking taylor expansion of +nan.0 in c
0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.513 * [taylor]: Taking taylor expansion of (pow c 3) in c
0.513 * [taylor]: Taking taylor expansion of c in c
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
0.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.515 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (pow c 2) (* a 1))) (+ (* (- +nan.0) (* c (* 1 (pow b_2 2)))) (* (- +nan.0) (* c (* 1 1))))) into (- (+ (* +nan.0 (* (pow b_2 2) c)) (- (+ (* +nan.0 (* a (pow c 2))) (- (* +nan.0 c))))))
0.516 * [backup-simplify]: Simplify (/ (+ (- (/ 1 b_2)) (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))))) (/ 1 a)) into (* (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a)
0.516 * [approximate]: Taking taylor expansion of (* (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in (b_2 a c) around 0
0.516 * [taylor]: Taking taylor expansion of (* (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in c
0.516 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in c
0.516 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.516 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.516 * [taylor]: Taking taylor expansion of b_2 in c
0.516 * [backup-simplify]: Simplify b_2 into b_2
0.516 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.516 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.516 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.516 * [taylor]: Taking taylor expansion of (* a c) in c
0.516 * [taylor]: Taking taylor expansion of a in c
0.516 * [backup-simplify]: Simplify a into a
0.516 * [taylor]: Taking taylor expansion of c in c
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify (* a 0) into 0
0.516 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.517 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.517 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.517 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.517 * [backup-simplify]: Simplify (sqrt 0) into 0
0.517 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.517 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.517 * [taylor]: Taking taylor expansion of b_2 in c
0.517 * [backup-simplify]: Simplify b_2 into b_2
0.518 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.518 * [taylor]: Taking taylor expansion of a in c
0.518 * [backup-simplify]: Simplify a into a
0.518 * [taylor]: Taking taylor expansion of (* (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in a
0.518 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in a
0.518 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.518 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.518 * [taylor]: Taking taylor expansion of b_2 in a
0.518 * [backup-simplify]: Simplify b_2 into b_2
0.518 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.518 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.518 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.518 * [taylor]: Taking taylor expansion of (* a c) in a
0.518 * [taylor]: Taking taylor expansion of a in a
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.518 * [taylor]: Taking taylor expansion of c in a
0.518 * [backup-simplify]: Simplify c into c
0.518 * [backup-simplify]: Simplify (* 0 c) into 0
0.518 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.518 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.518 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.518 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.519 * [backup-simplify]: Simplify (sqrt 0) into 0
0.519 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.519 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.519 * [taylor]: Taking taylor expansion of b_2 in a
0.519 * [backup-simplify]: Simplify b_2 into b_2
0.519 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.519 * [taylor]: Taking taylor expansion of a in a
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [taylor]: Taking taylor expansion of (* (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in b_2
0.519 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.519 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.519 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.519 * [taylor]: Taking taylor expansion of b_2 in b_2
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.520 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.520 * [taylor]: Taking taylor expansion of a in b_2
0.520 * [backup-simplify]: Simplify a into a
0.520 * [taylor]: Taking taylor expansion of c in b_2
0.520 * [backup-simplify]: Simplify c into c
0.520 * [backup-simplify]: Simplify (* a c) into (* a c)
0.520 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.520 * [backup-simplify]: Simplify (+ 1 0) into 1
0.521 * [backup-simplify]: Simplify (sqrt 1) into 1
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.522 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.522 * [taylor]: Taking taylor expansion of b_2 in b_2
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.523 * [taylor]: Taking taylor expansion of a in b_2
0.523 * [backup-simplify]: Simplify a into a
0.523 * [taylor]: Taking taylor expansion of (* (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in b_2
0.523 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.523 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.523 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.523 * [taylor]: Taking taylor expansion of b_2 in b_2
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.523 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.523 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.523 * [taylor]: Taking taylor expansion of a in b_2
0.523 * [backup-simplify]: Simplify a into a
0.523 * [taylor]: Taking taylor expansion of c in b_2
0.523 * [backup-simplify]: Simplify c into c
0.523 * [backup-simplify]: Simplify (* a c) into (* a c)
0.523 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.524 * [backup-simplify]: Simplify (+ 1 0) into 1
0.524 * [backup-simplify]: Simplify (sqrt 1) into 1
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.526 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.526 * [taylor]: Taking taylor expansion of b_2 in b_2
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [taylor]: Taking taylor expansion of a in b_2
0.526 * [backup-simplify]: Simplify a into a
0.527 * [backup-simplify]: Simplify (- 1) into -1
0.527 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.527 * [backup-simplify]: Simplify (* 0 a) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in a
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 a)) into 0
0.528 * [taylor]: Taking taylor expansion of 0 in a
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [taylor]: Taking taylor expansion of 0 in c
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.530 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.531 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ (/ -1/2 (* a c)) 0) into (- (* 1/2 (/ 1 (* a c))))
0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (* a c)))) a))) into (- (* 1/2 (/ 1 c)))
0.533 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 c))) in a
0.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in a
0.533 * [taylor]: Taking taylor expansion of 1/2 in a
0.533 * [backup-simplify]: Simplify 1/2 into 1/2
0.533 * [taylor]: Taking taylor expansion of (/ 1 c) in a
0.533 * [taylor]: Taking taylor expansion of c in a
0.533 * [backup-simplify]: Simplify c into c
0.533 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.533 * [taylor]: Taking taylor expansion of 0 in c
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [taylor]: Taking taylor expansion of 0 in c
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.535 * [backup-simplify]: Simplify (- 0) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (- 0) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (* a c)))) 0) (* 0 a)))) into 0
0.537 * [taylor]: Taking taylor expansion of 0 in a
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.538 * [backup-simplify]: Simplify (- (/ 1/2 c)) into (- (* 1/2 (/ 1 c)))
0.538 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 c))) in c
0.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in c
0.538 * [taylor]: Taking taylor expansion of 1/2 in c
0.538 * [backup-simplify]: Simplify 1/2 into 1/2
0.538 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.538 * [taylor]: Taking taylor expansion of c in c
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.539 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.539 * [backup-simplify]: Simplify -1/2 into -1/2
0.539 * [taylor]: Taking taylor expansion of 0 in c
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [taylor]: Taking taylor expansion of 0 in c
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (- 0) into 0
0.544 * [backup-simplify]: Simplify (+ (/ -1/8 (* (pow a 2) (pow c 2))) 0) into (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))
0.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (* a c)))) 0) (+ (* 0 0) (* (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) a))))) into (- (* 1/8 (/ 1 (* a (pow c 2)))))
0.546 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* a (pow c 2))))) in a
0.546 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* a (pow c 2)))) in a
0.546 * [taylor]: Taking taylor expansion of 1/8 in a
0.546 * [backup-simplify]: Simplify 1/8 into 1/8
0.546 * [taylor]: Taking taylor expansion of (/ 1 (* a (pow c 2))) in a
0.546 * [taylor]: Taking taylor expansion of (* a (pow c 2)) in a
0.546 * [taylor]: Taking taylor expansion of a in a
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.546 * [taylor]: Taking taylor expansion of c in a
0.546 * [backup-simplify]: Simplify c into c
0.546 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.546 * [backup-simplify]: Simplify (* 0 (pow c 2)) into 0
0.546 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow c 2))) into (pow c 2)
0.547 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.547 * [backup-simplify]: Simplify (* 1/8 (/ 1 (pow c 2))) into (/ 1/8 (pow c 2))
0.547 * [backup-simplify]: Simplify (- (/ 1/8 (pow c 2))) into (- (* 1/8 (/ 1 (pow c 2))))
0.547 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow c 2)))) in c
0.547 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow c 2))) in c
0.547 * [taylor]: Taking taylor expansion of 1/8 in c
0.547 * [backup-simplify]: Simplify 1/8 into 1/8
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.547 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.547 * [taylor]: Taking taylor expansion of c in c
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (- 0) into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [taylor]: Taking taylor expansion of 0 in c
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.550 * [backup-simplify]: Simplify (- 0) into 0
0.550 * [taylor]: Taking taylor expansion of 0 in c
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [taylor]: Taking taylor expansion of 0 in c
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [taylor]: Taking taylor expansion of 0 in c
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- 0) into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 c)) (* 1 (/ 1 b_2)))) into (* -1/2 (/ c b_2))
0.552 * [backup-simplify]: Simplify (/ (+ (- (/ 1 (- b_2))) (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))))) (/ 1 (- a))) into (* -1 (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a))
0.553 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a)) in (b_2 a c) around 0
0.553 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a)) in c
0.553 * [taylor]: Taking taylor expansion of -1 in c
0.553 * [backup-simplify]: Simplify -1 into -1
0.553 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in c
0.553 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in c
0.553 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.553 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.553 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.553 * [taylor]: Taking taylor expansion of b_2 in c
0.553 * [backup-simplify]: Simplify b_2 into b_2
0.553 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.553 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.553 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.553 * [taylor]: Taking taylor expansion of (* a c) in c
0.553 * [taylor]: Taking taylor expansion of a in c
0.553 * [backup-simplify]: Simplify a into a
0.553 * [taylor]: Taking taylor expansion of c in c
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (* a 0) into 0
0.553 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.554 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.554 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.554 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.554 * [backup-simplify]: Simplify (sqrt 0) into 0
0.554 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.554 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.554 * [taylor]: Taking taylor expansion of b_2 in c
0.555 * [backup-simplify]: Simplify b_2 into b_2
0.555 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.555 * [taylor]: Taking taylor expansion of a in c
0.555 * [backup-simplify]: Simplify a into a
0.555 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a)) in a
0.555 * [taylor]: Taking taylor expansion of -1 in a
0.555 * [backup-simplify]: Simplify -1 into -1
0.555 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in a
0.555 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in a
0.555 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.555 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.555 * [taylor]: Taking taylor expansion of b_2 in a
0.555 * [backup-simplify]: Simplify b_2 into b_2
0.555 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.555 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.555 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.555 * [taylor]: Taking taylor expansion of (* a c) in a
0.555 * [taylor]: Taking taylor expansion of a in a
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [taylor]: Taking taylor expansion of c in a
0.555 * [backup-simplify]: Simplify c into c
0.555 * [backup-simplify]: Simplify (* 0 c) into 0
0.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.556 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.556 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.556 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.556 * [backup-simplify]: Simplify (sqrt 0) into 0
0.556 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.556 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.556 * [taylor]: Taking taylor expansion of b_2 in a
0.556 * [backup-simplify]: Simplify b_2 into b_2
0.556 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.556 * [taylor]: Taking taylor expansion of a in a
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a)) in b_2
0.557 * [taylor]: Taking taylor expansion of -1 in b_2
0.557 * [backup-simplify]: Simplify -1 into -1
0.557 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in b_2
0.557 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.557 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.557 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.557 * [taylor]: Taking taylor expansion of b_2 in b_2
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (* 1 1) into 1
0.557 * [backup-simplify]: Simplify (/ 1 1) into 1
0.557 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.557 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.557 * [taylor]: Taking taylor expansion of a in b_2
0.557 * [backup-simplify]: Simplify a into a
0.557 * [taylor]: Taking taylor expansion of c in b_2
0.557 * [backup-simplify]: Simplify c into c
0.557 * [backup-simplify]: Simplify (* a c) into (* a c)
0.557 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.558 * [backup-simplify]: Simplify (+ 1 0) into 1
0.558 * [backup-simplify]: Simplify (sqrt 1) into 1
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.560 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.560 * [taylor]: Taking taylor expansion of b_2 in b_2
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (/ 1 1) into 1
0.560 * [taylor]: Taking taylor expansion of a in b_2
0.560 * [backup-simplify]: Simplify a into a
0.560 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a)) in b_2
0.560 * [taylor]: Taking taylor expansion of -1 in b_2
0.560 * [backup-simplify]: Simplify -1 into -1
0.560 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) a) in b_2
0.560 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.560 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.560 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.560 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.560 * [taylor]: Taking taylor expansion of b_2 in b_2
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ 1 1) into 1
0.561 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.561 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.561 * [taylor]: Taking taylor expansion of a in b_2
0.561 * [backup-simplify]: Simplify a into a
0.561 * [taylor]: Taking taylor expansion of c in b_2
0.561 * [backup-simplify]: Simplify c into c
0.561 * [backup-simplify]: Simplify (* a c) into (* a c)
0.561 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.561 * [backup-simplify]: Simplify (+ 1 0) into 1
0.561 * [backup-simplify]: Simplify (sqrt 1) into 1
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.563 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.563 * [taylor]: Taking taylor expansion of b_2 in b_2
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [taylor]: Taking taylor expansion of a in b_2
0.563 * [backup-simplify]: Simplify a into a
0.564 * [backup-simplify]: Simplify (+ 1 1) into 2
0.564 * [backup-simplify]: Simplify (* 2 a) into (* 2 a)
0.564 * [backup-simplify]: Simplify (* -1 (* 2 a)) into (* -2 a)
0.564 * [taylor]: Taking taylor expansion of (* -2 a) in a
0.564 * [taylor]: Taking taylor expansion of -2 in a
0.564 * [backup-simplify]: Simplify -2 into -2
0.564 * [taylor]: Taking taylor expansion of a in a
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
0.565 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 a)) into 0
0.565 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* 2 a))) into 0
0.565 * [taylor]: Taking taylor expansion of 0 in a
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (* -2 0) into 0
0.566 * [taylor]: Taking taylor expansion of 0 in c
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.567 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.568 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (/ -1/2 (* a c)) 0) into (- (* 1/2 (/ 1 (* a c))))
0.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (* a c)))) a))) into (- (* 1/2 (/ 1 c)))
0.569 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 c)))) (+ (* 0 0) (* 0 (* 2 a)))) into (* 1/2 (/ 1 c))
0.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in a
0.569 * [taylor]: Taking taylor expansion of 1/2 in a
0.569 * [backup-simplify]: Simplify 1/2 into 1/2
0.569 * [taylor]: Taking taylor expansion of (/ 1 c) in a
0.569 * [taylor]: Taking taylor expansion of c in a
0.569 * [backup-simplify]: Simplify c into c
0.570 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.570 * [taylor]: Taking taylor expansion of 0 in c
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
0.570 * [taylor]: Taking taylor expansion of -2 in c
0.570 * [backup-simplify]: Simplify -2 into -2
0.570 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.572 * [backup-simplify]: Simplify (- 0) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (* a c)))) 0) (* 0 a)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 1/2 (/ 1 c)))) (+ (* 0 0) (* 0 (* 2 a))))) into 0
0.574 * [taylor]: Taking taylor expansion of 0 in a
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.575 * [taylor]: Taking taylor expansion of (/ 1/2 c) in c
0.575 * [taylor]: Taking taylor expansion of 1/2 in c
0.575 * [backup-simplify]: Simplify 1/2 into 1/2
0.575 * [taylor]: Taking taylor expansion of c in c
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.575 * [backup-simplify]: Simplify 1/2 into 1/2
0.575 * [taylor]: Taking taylor expansion of 0 in c
0.575 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
0.576 * [taylor]: Taking taylor expansion of 0 in c
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify -2 into -2
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.578 * [backup-simplify]: Simplify (- 0) into 0
0.578 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (/ -1/8 (* (pow a 2) (pow c 2))) 0) into (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))
0.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (* a c)))) 0) (+ (* 0 0) (* (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) a))))) into (- (* 1/8 (/ 1 (* a (pow c 2)))))
0.586 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/8 (/ 1 (* a (pow c 2)))))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 c)))) (+ (* 0 0) (* 0 (* 2 a)))))) into (* 1/8 (/ 1 (* a (pow c 2))))
0.586 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* a (pow c 2)))) in a
0.586 * [taylor]: Taking taylor expansion of 1/8 in a
0.586 * [backup-simplify]: Simplify 1/8 into 1/8
0.586 * [taylor]: Taking taylor expansion of (/ 1 (* a (pow c 2))) in a
0.586 * [taylor]: Taking taylor expansion of (* a (pow c 2)) in a
0.586 * [taylor]: Taking taylor expansion of a in a
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.586 * [taylor]: Taking taylor expansion of c in a
0.587 * [backup-simplify]: Simplify c into c
0.587 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.587 * [backup-simplify]: Simplify (* 0 (pow c 2)) into 0
0.587 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow c 2))) into (pow c 2)
0.587 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.587 * [backup-simplify]: Simplify (* 1/8 (/ 1 (pow c 2))) into (/ 1/8 (pow c 2))
0.587 * [taylor]: Taking taylor expansion of (/ 1/8 (pow c 2)) in c
0.587 * [taylor]: Taking taylor expansion of 1/8 in c
0.587 * [backup-simplify]: Simplify 1/8 into 1/8
0.587 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.587 * [taylor]: Taking taylor expansion of c in c
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [taylor]: Taking taylor expansion of 0 in c
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.590 * [taylor]: Taking taylor expansion of 0 in c
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [taylor]: Taking taylor expansion of 0 in c
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.590 * [taylor]: Taking taylor expansion of 0 in c
0.590 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* (/ 1 (- a)) (/ 1 (/ 1 (- b_2)))))) (* 1/2 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (- b_2)))))) into (- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
0.592 * * * [progress]: simplifying candidates
0.593 * [simplify]: Simplifying:
  (log (sqrt (- (* b_2 b_2) (* a c))))
  (exp (sqrt (- (* b_2 b_2) (* a c))))
  (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))
  (cbrt (sqrt (- (* b_2 b_2) (* a c))))
  (* (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))
  (sqrt (cbrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt 1)
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (pow (* b_2 b_2) 3) (pow (* a c) 3)))
  (sqrt (+ (* (* b_2 b_2) (* b_2 b_2)) (+ (* (* a c) (* a c)) (* (* b_2 b_2) (* a c)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (+ (* b_2 b_2) (* a c)))
  (/ 1 2)
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (* (/ 1 (exp b_2)) (exp (sqrt (- (* b_2 b_2) (* a c)))))
  (* (exp (- b_2)) (exp (sqrt (- (* b_2 b_2) (* a c)))))
  (log (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (exp (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (* (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
  (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (* (* (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (+ (pow (- b_2) 3) (pow (sqrt (- (* b_2 b_2) (* a c))) 3))
  (+ (* (- b_2) (- b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (* (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
  (- (* (- b_2) (- b_2)) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  (- b_2 (sqrt (- (* b_2 b_2) (* a c))))
  (/ (exp (* b_2 b_2)) (exp (* a c)))
  (log (- (* b_2 b_2) (* a c)))
  (exp (- (* b_2 b_2) (* a c)))
  (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))
  (cbrt (- (* b_2 b_2) (* a c)))
  (* (* (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* b_2 b_2) (* a c)))
  (- (pow (* b_2 b_2) 3) (pow (* a c) 3))
  (+ (* (* b_2 b_2) (* b_2 b_2)) (+ (* (* a c) (* a c)) (* (* b_2 b_2) (* a c))))
  (- (* a c))
  (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c)))
  (+ (* b_2 b_2) (* a c))
  (- (* a c))
  (- (log (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))
  (log (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
  (exp (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
  (/ (* (* (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (* a a) a))
  (* (cbrt (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (cbrt (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)))
  (cbrt (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
  (* (* (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
  (sqrt (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
  (sqrt (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
  (- (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (- a)
  (/ 0 a)
  (/ (- b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)
  (/ (* (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (* (cbrt a) (cbrt a)))
  (/ (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (cbrt a))
  (/ (* (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (sqrt a))
  (/ (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (/ (* (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))) 1)
  (/ (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) a)
  (/ (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (cbrt a) (cbrt a)))
  (/ (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (cbrt a))
  (/ (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (/ (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (/ (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) 1)
  (/ (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) a)
  (/ 1 (* (cbrt a) (cbrt a)))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (cbrt a))
  (/ 1 (sqrt a))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt a))
  (/ 1 1)
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
  (/ 1 (* (cbrt a) (cbrt a)))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (cbrt a))
  (/ 1 (sqrt a))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt a))
  (/ 1 1)
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
  (/ 1 (* (cbrt a) (cbrt a)))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (cbrt a))
  (/ 1 (sqrt a))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt a))
  (/ 1 1)
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
  (/ 1 a)
  (/ a (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (cbrt a) (cbrt a)))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt a))
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) 1)
  (/ a (cbrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
  (/ a (sqrt (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
  (/ a (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (/ a (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (/ a (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (* a (+ (* (- b_2) (- b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (* (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))))
  (* a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (- (+ (* +nan.0 (pow b_2 2)) (- (* +nan.0 (* a c)))))
  (- b_2 (* 1/2 (/ (* a c) b_2)))
  (- (* 1/2 (/ (* a c) b_2)) b_2)
  (- (+ (* +nan.0 (pow b_2 2)) (- b_2 (* +nan.0 (* a c)))))
  (* -1/2 (/ (* a c) b_2))
  (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
  (- (+ (* +nan.0 (* (pow b_2 2) c)) (- (+ (* +nan.0 (* a (pow c 2))) (- (* +nan.0 c))))))
  (* -1/2 (/ c b_2))
  (- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
0.594 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (- (* h2 h2) (* h1 h0))))
 (exp (sqrt (- (* h2 h2) (* h1 h0))))
 (* (cbrt (sqrt (- (* h2 h2) (* h1 h0)))) (cbrt (sqrt (- (* h2 h2) (* h1 h0)))))
 (cbrt (sqrt (- (* h2 h2) (* h1 h0))))
 (* (* (sqrt (- (* h2 h2) (* h1 h0))) (sqrt (- (* h2 h2) (* h1 h0)))) (sqrt (- (* h2 h2) (* h1 h0))))
 (sqrt (* (cbrt (- (* h2 h2) (* h1 h0))) (cbrt (- (* h2 h2) (* h1 h0)))))
 (sqrt (cbrt (- (* h2 h2) (* h1 h0))))
 (sqrt (sqrt (- (* h2 h2) (* h1 h0))))
 (sqrt (sqrt (- (* h2 h2) (* h1 h0))))
 (sqrt 1)
 (sqrt (- (* h2 h2) (* h1 h0)))
 (sqrt (- (pow (* h2 h2) 3) (pow (* h1 h0) 3)))
 (sqrt (+ (* (* h2 h2) (* h2 h2)) (+ (* (* h1 h0) (* h1 h0)) (* (* h2 h2) (* h1 h0)))))
 (sqrt (- (* (* h2 h2) (* h2 h2)) (* (* h1 h0) (* h1 h0))))
 (sqrt (+ (* h2 h2) (* h1 h0)))
 (/ 1 2)
 (sqrt (sqrt (- (* h2 h2) (* h1 h0))))
 (sqrt (sqrt (- (* h2 h2) (* h1 h0))))
 (* (/ 1 (exp h2)) (exp (sqrt (- (* h2 h2) (* h1 h0)))))
 (* (exp (- h2)) (exp (sqrt (- (* h2 h2) (* h1 h0)))))
 (log (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (exp (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (* (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))))
 (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (* (* (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (+ (pow (- h2) 3) (pow (sqrt (- (* h2 h2) (* h1 h0))) 3))
 (+ (* (- h2) (- h2)) (- (* (sqrt (- (* h2 h2) (* h1 h0))) (sqrt (- (* h2 h2) (* h1 h0)))) (* (- h2) (sqrt (- (* h2 h2) (* h1 h0))))))
 (- (* (- h2) (- h2)) (* (sqrt (- (* h2 h2) (* h1 h0))) (sqrt (- (* h2 h2) (* h1 h0)))))
 (- (- h2) (sqrt (- (* h2 h2) (* h1 h0))))
 (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))
 (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))
 (- h2 (sqrt (- (* h2 h2) (* h1 h0))))
 (/ (exp (* h2 h2)) (exp (* h1 h0)))
 (log (- (* h2 h2) (* h1 h0)))
 (exp (- (* h2 h2) (* h1 h0)))
 (* (cbrt (- (* h2 h2) (* h1 h0))) (cbrt (- (* h2 h2) (* h1 h0))))
 (cbrt (- (* h2 h2) (* h1 h0)))
 (* (* (- (* h2 h2) (* h1 h0)) (- (* h2 h2) (* h1 h0))) (- (* h2 h2) (* h1 h0)))
 (sqrt (- (* h2 h2) (* h1 h0)))
 (sqrt (- (* h2 h2) (* h1 h0)))
 (- (pow (* h2 h2) 3) (pow (* h1 h0) 3))
 (+ (* (* h2 h2) (* h2 h2)) (+ (* (* h1 h0) (* h1 h0)) (* (* h2 h2) (* h1 h0))))
 (- (* h1 h0))
 (- (* (* h2 h2) (* h2 h2)) (* (* h1 h0) (* h1 h0)))
 (+ (* h2 h2) (* h1 h0))
 (- (* h1 h0))
 (- (log (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (log h1))
 (log (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1))
 (exp (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1))
 (/ (* (* (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (* (* h1 h1) h1))
 (* (cbrt (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1)) (cbrt (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1)))
 (cbrt (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1))
 (* (* (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1) (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1)) (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1))
 (sqrt (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1))
 (sqrt (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1))
 (- (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (- h1)
 (/ 0 h1)
 (/ (- h2 (sqrt (- (* h2 h2) (* h1 h0)))) h1)
 (/ (* (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))) (* (cbrt h1) (cbrt h1)))
 (/ (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (cbrt h1))
 (/ (* (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))) (sqrt h1))
 (/ (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (sqrt h1))
 (/ (* (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))) 1)
 (/ (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) h1)
 (/ (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (* (cbrt h1) (cbrt h1)))
 (/ (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (cbrt h1))
 (/ (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (sqrt h1))
 (/ (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) (sqrt h1))
 (/ (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) 1)
 (/ (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))) h1)
 (/ 1 (* (cbrt h1) (cbrt h1)))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (cbrt h1))
 (/ 1 (sqrt h1))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (sqrt h1))
 (/ 1 1)
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1)
 (/ 1 (* (cbrt h1) (cbrt h1)))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (cbrt h1))
 (/ 1 (sqrt h1))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (sqrt h1))
 (/ 1 1)
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1)
 (/ 1 (* (cbrt h1) (cbrt h1)))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (cbrt h1))
 (/ 1 (sqrt h1))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (sqrt h1))
 (/ 1 1)
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) h1)
 (/ 1 h1)
 (/ h1 (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (* (cbrt h1) (cbrt h1)))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) (sqrt h1))
 (/ (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))) 1)
 (/ h1 (cbrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))))
 (/ h1 (sqrt (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0))))))
 (/ h1 (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (/ h1 (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (/ h1 (+ (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (* h1 (+ (* (- h2) (- h2)) (- (* (sqrt (- (* h2 h2) (* h1 h0))) (sqrt (- (* h2 h2) (* h1 h0)))) (* (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))))
 (* h1 (- (- h2) (sqrt (- (* h2 h2) (* h1 h0)))))
 (- (+ (* h3 (pow h2 2)) (- (* h3 (* h1 h0)))))
 (- h2 (* 1/2 (/ (* h1 h0) h2)))
 (- (* 1/2 (/ (* h1 h0) h2)) h2)
 (- (+ (* h3 (pow h2 2)) (- h2 (* h3 (* h1 h0)))))
 (* -1/2 (/ (* h1 h0) h2))
 (- (* 1/2 (/ (* h1 h0) h2)) (* 2 h2))
 (- (pow h2 2) (* h1 h0))
 (- (pow h2 2) (* h1 h0))
 (- (pow h2 2) (* h1 h0))
 (- (+ (* h3 (* (pow h2 2) h0)) (- (+ (* h3 (* h1 (pow h0 2))) (- (* h3 h0))))))
 (* -1/2 (/ h0 h2))
 (- (* 1/2 (/ h0 h2)) (* 2 (/ h2 h1)))