0.880 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.140 * * * [progress]: [2/2] Setting up program.
0.146 * [progress]: [Phase 2 of 3] Improving.
0.148 * [simplify]: Simplifying:
  (/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.149 * * [simplify]: iteration 0: 10 enodes
0.155 * * [simplify]: iteration 1: 19 enodes
0.158 * * [simplify]: iteration 2: 33 enodes
0.163 * * [simplify]: iteration 3: 46 enodes
0.168 * * [simplify]: iteration 4: 49 enodes
0.173 * * [simplify]: iteration complete: 49 enodes
0.174 * * [simplify]: Extracting #0: cost 1 inf + 0
0.174 * * [simplify]: Extracting #1: cost 9 inf + 0
0.174 * * [simplify]: Extracting #2: cost 13 inf + 1
0.174 * * [simplify]: Extracting #3: cost 13 inf + 2
0.174 * * [simplify]: Extracting #4: cost 16 inf + 167
0.175 * * [simplify]: Extracting #5: cost 12 inf + 292
0.175 * * [simplify]: Extracting #6: cost 8 inf + 701
0.175 * * [simplify]: Extracting #7: cost 3 inf + 1796
0.175 * * [simplify]: Extracting #8: cost 0 inf + 2605
0.176 * [simplify]: Simplified to:
  (/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.178 * * [progress]: iteration 1 / 4
0.178 * * * [progress]: picking best candidate
0.182 * * * * [pick]: Picked  #<alt (λ (a b_2 c) (/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))>
0.183 * * * [progress]: localizing error
0.227 * * * [progress]: generating rewritten candidates
0.227 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
0.239 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
0.246 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.429 * * * [progress]: generating series expansions
0.430 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
0.438 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
0.439 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
0.439 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
0.439 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.439 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.439 * [taylor]: Taking taylor expansion of b_2 in c
0.440 * [backup-simplify]: Simplify b_2 into b_2
0.440 * [taylor]: Taking taylor expansion of (* a c) in c
0.440 * [taylor]: Taking taylor expansion of a in c
0.440 * [backup-simplify]: Simplify a into a
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
0.440 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.440 * [backup-simplify]: Simplify (* a 0) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.441 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.441 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.441 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.442 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.442 * [backup-simplify]: Simplify (- a) into (- a)
0.442 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
0.442 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
0.442 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
0.442 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.442 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.442 * [taylor]: Taking taylor expansion of b_2 in a
0.442 * [backup-simplify]: Simplify b_2 into b_2
0.442 * [taylor]: Taking taylor expansion of (* a c) in a
0.442 * [taylor]: Taking taylor expansion of a in a
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [taylor]: Taking taylor expansion of c in a
0.442 * [backup-simplify]: Simplify c into c
0.442 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.442 * [backup-simplify]: Simplify (* 0 c) into 0
0.443 * [backup-simplify]: Simplify (- 0) into 0
0.443 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.443 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.443 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.443 * [backup-simplify]: Simplify (- c) into (- c)
0.443 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
0.443 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
0.443 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.443 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.443 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.443 * [taylor]: Taking taylor expansion of b_2 in b_2
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.444 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.444 * [taylor]: Taking taylor expansion of a in b_2
0.444 * [backup-simplify]: Simplify a into a
0.444 * [taylor]: Taking taylor expansion of c in b_2
0.444 * [backup-simplify]: Simplify c into c
0.444 * [backup-simplify]: Simplify (* a c) into (* a c)
0.444 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.444 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.444 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.444 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.445 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.445 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.445 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.445 * [taylor]: Taking taylor expansion of b_2 in b_2
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.445 * [taylor]: Taking taylor expansion of a in b_2
0.445 * [backup-simplify]: Simplify a into a
0.445 * [taylor]: Taking taylor expansion of c in b_2
0.445 * [backup-simplify]: Simplify c into c
0.445 * [backup-simplify]: Simplify (* a c) into (* a c)
0.445 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.445 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.445 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.445 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.446 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.446 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.446 * [taylor]: Taking taylor expansion of (* a c) in a
0.446 * [taylor]: Taking taylor expansion of a in a
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [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
0.447 * [backup-simplify]: Simplify (- 0) into 0
0.447 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.447 * [backup-simplify]: Simplify (- c) into (- c)
0.448 * [backup-simplify]: Simplify (sqrt 0) into 0
0.448 * [backup-simplify]: Simplify (- c) into (- c)
0.448 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.448 * [taylor]: Taking taylor expansion of 0 in c
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [taylor]: Taking taylor expansion of 0 in a
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [taylor]: Taking taylor expansion of 0 in c
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.449 * [taylor]: Taking taylor expansion of +nan.0 in c
0.449 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.449 * [taylor]: Taking taylor expansion of c in c
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.450 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ 1 0) into 1
0.451 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
0.451 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
0.451 * [taylor]: Taking taylor expansion of 1/2 in a
0.451 * [backup-simplify]: Simplify 1/2 into 1/2
0.451 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.451 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.451 * [taylor]: Taking taylor expansion of (* a c) in a
0.451 * [taylor]: Taking taylor expansion of a in a
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [taylor]: Taking taylor expansion of c in a
0.451 * [backup-simplify]: Simplify c into c
0.451 * [backup-simplify]: Simplify (* 0 c) into 0
0.452 * [backup-simplify]: Simplify (- 0) into 0
0.452 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.452 * [backup-simplify]: Simplify (- c) into (- c)
0.452 * [backup-simplify]: Simplify (sqrt 0) into 0
0.452 * [backup-simplify]: Simplify (- c) into (- c)
0.453 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.453 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
0.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.454 * [backup-simplify]: Simplify (- 0) into 0
0.454 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.455 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
0.455 * [taylor]: Taking taylor expansion of (- +nan.0) in c
0.455 * [taylor]: Taking taylor expansion of +nan.0 in c
0.455 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.455 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.455 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.455 * [taylor]: Taking taylor expansion of 0 in c
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.457 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
0.457 * [taylor]: Taking taylor expansion of +nan.0 in c
0.457 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.457 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.457 * [taylor]: Taking taylor expansion of c in c
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.458 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.459 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.459 * [backup-simplify]: Simplify (- 0) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) 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
0.460 * [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 (- 0) into 0
0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.462 * [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))
0.462 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
0.462 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.462 * [taylor]: Taking taylor expansion of +nan.0 in c
0.462 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.462 * [taylor]: Taking taylor expansion of c in c
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.463 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [taylor]: Taking taylor expansion of 0 in c
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.464 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.465 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
0.465 * [taylor]: Taking taylor expansion of +nan.0 in c
0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.465 * [taylor]: Taking taylor expansion of (pow c 3) in c
0.465 * [taylor]: Taking taylor expansion of c in c
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.466 * [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)))))
0.466 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
0.466 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
0.466 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.466 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.466 * [taylor]: Taking taylor expansion of b_2 in c
0.466 * [backup-simplify]: Simplify b_2 into b_2
0.467 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.467 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.467 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.467 * [taylor]: Taking taylor expansion of (* a c) in c
0.467 * [taylor]: Taking taylor expansion of a in c
0.467 * [backup-simplify]: Simplify a into a
0.467 * [taylor]: Taking taylor expansion of c in c
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (* a 0) into 0
0.467 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.467 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.467 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.467 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.468 * [backup-simplify]: Simplify (sqrt 0) into 0
0.468 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.468 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.468 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.468 * [taylor]: Taking taylor expansion of b_2 in a
0.468 * [backup-simplify]: Simplify b_2 into b_2
0.468 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.468 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
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
0.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.469 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.469 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.469 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.469 * [backup-simplify]: Simplify (sqrt 0) into 0
0.469 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.469 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.469 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.469 * [taylor]: Taking taylor expansion of b_2 in b_2
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (/ 1 1) into 1
0.470 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.470 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.470 * [taylor]: Taking taylor expansion of a in b_2
0.470 * [backup-simplify]: Simplify a into a
0.470 * [taylor]: Taking taylor expansion of c in b_2
0.470 * [backup-simplify]: Simplify c into c
0.470 * [backup-simplify]: Simplify (* a c) into (* a c)
0.470 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.470 * [backup-simplify]: Simplify (+ 1 0) into 1
0.471 * [backup-simplify]: Simplify (sqrt 1) into 1
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.472 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.472 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.472 * [taylor]: Taking taylor expansion of b_2 in b_2
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.473 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.473 * [taylor]: Taking taylor expansion of a in b_2
0.473 * [backup-simplify]: Simplify a into a
0.473 * [taylor]: Taking taylor expansion of c in b_2
0.473 * [backup-simplify]: Simplify c into c
0.473 * [backup-simplify]: Simplify (* a c) into (* a c)
0.473 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.473 * [backup-simplify]: Simplify (+ 1 0) into 1
0.474 * [backup-simplify]: Simplify (sqrt 1) into 1
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.475 * [taylor]: Taking taylor expansion of 1 in a
0.475 * [backup-simplify]: Simplify 1 into 1
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 1 in c
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.476 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.477 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.477 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
0.477 * [taylor]: Taking taylor expansion of -1/2 in a
0.477 * [backup-simplify]: Simplify -1/2 into -1/2
0.477 * [taylor]: Taking taylor expansion of (* a c) in a
0.477 * [taylor]: Taking taylor expansion of a in a
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [taylor]: Taking taylor expansion of c in a
0.477 * [backup-simplify]: Simplify c into c
0.477 * [backup-simplify]: Simplify (* 0 c) into 0
0.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.478 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
0.478 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
0.478 * [taylor]: Taking taylor expansion of -1/2 in c
0.478 * [backup-simplify]: Simplify -1/2 into -1/2
0.478 * [taylor]: Taking taylor expansion of c in c
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.478 * [backup-simplify]: Simplify -1/2 into -1/2
0.478 * [taylor]: Taking taylor expansion of 0 in c
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [taylor]: Taking taylor expansion of 0 in c
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.480 * [taylor]: Taking taylor expansion of 0 in a
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.481 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in c
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [taylor]: Taking taylor expansion of 0 in c
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [taylor]: Taking taylor expansion of 0 in c
0.481 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.484 * [backup-simplify]: Simplify (- 0) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.485 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
0.485 * [taylor]: Taking taylor expansion of -1/8 in a
0.485 * [backup-simplify]: Simplify -1/8 into -1/8
0.485 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.485 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.485 * [taylor]: Taking taylor expansion of a in a
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.485 * [taylor]: Taking taylor expansion of c in a
0.485 * [backup-simplify]: Simplify c into c
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.485 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.485 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
0.486 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.486 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.487 * [taylor]: Taking taylor expansion of 0 in c
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [taylor]: Taking taylor expansion of 0 in c
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.487 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.487 * [taylor]: Taking taylor expansion of 0 in c
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [taylor]: Taking taylor expansion of 0 in c
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [taylor]: Taking taylor expansion of 0 in c
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [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)))
0.488 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
0.488 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
0.488 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.488 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.488 * [taylor]: Taking taylor expansion of b_2 in c
0.488 * [backup-simplify]: Simplify b_2 into b_2
0.488 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.488 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.488 * [taylor]: Taking taylor expansion of (* a c) in c
0.488 * [taylor]: Taking taylor expansion of a in c
0.488 * [backup-simplify]: Simplify a into a
0.488 * [taylor]: Taking taylor expansion of c in c
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (* a 0) into 0
0.489 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.489 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.489 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.489 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.489 * [backup-simplify]: Simplify (sqrt 0) into 0
0.490 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.490 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.490 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.490 * [taylor]: Taking taylor expansion of b_2 in a
0.490 * [backup-simplify]: Simplify b_2 into b_2
0.490 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.490 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.490 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.490 * [taylor]: Taking taylor expansion of (* a c) in a
0.490 * [taylor]: Taking taylor expansion of a in a
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [taylor]: Taking taylor expansion of c in a
0.490 * [backup-simplify]: Simplify c into c
0.490 * [backup-simplify]: Simplify (* 0 c) into 0
0.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.490 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.490 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.490 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.491 * [backup-simplify]: Simplify (sqrt 0) into 0
0.491 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.491 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.491 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.491 * [taylor]: Taking taylor expansion of b_2 in b_2
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.492 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.492 * [taylor]: Taking taylor expansion of a in b_2
0.492 * [backup-simplify]: Simplify a into a
0.492 * [taylor]: Taking taylor expansion of c in b_2
0.492 * [backup-simplify]: Simplify c into c
0.492 * [backup-simplify]: Simplify (* a c) into (* a c)
0.492 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.492 * [backup-simplify]: Simplify (+ 1 0) into 1
0.492 * [backup-simplify]: Simplify (sqrt 1) into 1
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.494 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.494 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.494 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.494 * [taylor]: Taking taylor expansion of b_2 in b_2
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.494 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.494 * [taylor]: Taking taylor expansion of a in b_2
0.494 * [backup-simplify]: Simplify a into a
0.494 * [taylor]: Taking taylor expansion of c in b_2
0.495 * [backup-simplify]: Simplify c into c
0.495 * [backup-simplify]: Simplify (* a c) into (* a c)
0.495 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.495 * [backup-simplify]: Simplify (+ 1 0) into 1
0.495 * [backup-simplify]: Simplify (sqrt 1) into 1
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.497 * [taylor]: Taking taylor expansion of 1 in a
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [taylor]: Taking taylor expansion of 0 in a
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [taylor]: Taking taylor expansion of 1 in c
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.498 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.499 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.499 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
0.499 * [taylor]: Taking taylor expansion of -1/2 in a
0.499 * [backup-simplify]: Simplify -1/2 into -1/2
0.499 * [taylor]: Taking taylor expansion of (* a c) in a
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 * [taylor]: Taking taylor expansion of c in a
0.499 * [backup-simplify]: Simplify c into c
0.499 * [backup-simplify]: Simplify (* 0 c) into 0
0.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.499 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
0.499 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
0.499 * [taylor]: Taking taylor expansion of -1/2 in c
0.499 * [backup-simplify]: Simplify -1/2 into -1/2
0.499 * [taylor]: Taking taylor expansion of c in c
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.500 * [backup-simplify]: Simplify -1/2 into -1/2
0.500 * [taylor]: Taking taylor expansion of 0 in c
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [taylor]: Taking taylor expansion of 0 in c
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.501 * [backup-simplify]: Simplify (- 0) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.502 * [taylor]: Taking taylor expansion of 0 in a
0.502 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
0.503 * [taylor]: Taking taylor expansion of 0 in c
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [taylor]: Taking taylor expansion of 0 in c
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [taylor]: Taking taylor expansion of 0 in c
0.503 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.507 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
0.507 * [taylor]: Taking taylor expansion of -1/8 in a
0.507 * [backup-simplify]: Simplify -1/8 into -1/8
0.507 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.507 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.507 * [taylor]: Taking taylor expansion of a in a
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.507 * [taylor]: Taking taylor expansion of c in a
0.507 * [backup-simplify]: Simplify c into c
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.508 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.508 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
0.508 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.509 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.509 * [taylor]: Taking taylor expansion of 0 in c
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [taylor]: Taking taylor expansion of 0 in c
0.509 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.510 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in c
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 * [taylor]: Taking taylor expansion of 0 in c
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [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)
0.510 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
0.510 * [backup-simplify]: Simplify (- (* b_2 b_2) (* a c)) into (- (pow b_2 2) (* a c))
0.511 * [approximate]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in (b_2 a c) around 0
0.511 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.511 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.511 * [taylor]: Taking taylor expansion of b_2 in c
0.511 * [backup-simplify]: Simplify b_2 into b_2
0.511 * [taylor]: Taking taylor expansion of (* a c) in c
0.511 * [taylor]: Taking taylor expansion of a in c
0.511 * [backup-simplify]: Simplify a into a
0.511 * [taylor]: Taking taylor expansion of c in c
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.511 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.511 * [taylor]: Taking taylor expansion of b_2 in a
0.511 * [backup-simplify]: Simplify b_2 into b_2
0.511 * [taylor]: Taking taylor expansion of (* a c) in a
0.511 * [taylor]: Taking taylor expansion of a in a
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [taylor]: Taking taylor expansion of c in a
0.511 * [backup-simplify]: Simplify c into c
0.511 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.511 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.511 * [taylor]: Taking taylor expansion of b_2 in b_2
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.511 * [taylor]: Taking taylor expansion of a in b_2
0.511 * [backup-simplify]: Simplify a into a
0.511 * [taylor]: Taking taylor expansion of c in b_2
0.511 * [backup-simplify]: Simplify c into c
0.511 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.511 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.511 * [taylor]: Taking taylor expansion of b_2 in b_2
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.511 * [taylor]: Taking taylor expansion of a in b_2
0.511 * [backup-simplify]: Simplify a into a
0.511 * [taylor]: Taking taylor expansion of c in b_2
0.511 * [backup-simplify]: Simplify c into c
0.511 * [backup-simplify]: Simplify (* a c) into (* a c)
0.511 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.511 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.511 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.511 * [taylor]: Taking taylor expansion of (* a c) in a
0.511 * [taylor]: Taking taylor expansion of a in a
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [taylor]: Taking taylor expansion of c in a
0.511 * [backup-simplify]: Simplify c into c
0.511 * [backup-simplify]: Simplify (* 0 c) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [taylor]: Taking taylor expansion of 0 in c
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [taylor]: Taking taylor expansion of 0 in a
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [taylor]: Taking taylor expansion of 0 in c
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.513 * [backup-simplify]: Simplify (- c) into (- c)
0.513 * [taylor]: Taking taylor expansion of (- c) 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 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (* 1 1) into 1
0.514 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify (+ 1 0) into 1
0.514 * [taylor]: Taking taylor expansion of 1 in a
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [taylor]: Taking taylor expansion of 1 in c
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [taylor]: Taking taylor expansion of 0 in c
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.515 * [backup-simplify]: Simplify (- 0) into 0
0.515 * [taylor]: Taking taylor expansion of 0 in c
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (- 1) into -1
0.515 * [backup-simplify]: Simplify -1 into -1
0.515 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [taylor]: Taking taylor expansion of 0 in a
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [taylor]: Taking taylor expansion of 0 in c
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [taylor]: Taking taylor expansion of 0 in c
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [taylor]: Taking taylor expansion of 0 in c
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.518 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [taylor]: Taking taylor expansion of 0 in c
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify (+ (* -1 (* c (* a 1))) (* 1 (pow (* 1 (* 1 b_2)) 2))) into (- (pow b_2 2) (* a c))
0.519 * [backup-simplify]: Simplify (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
0.519 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.519 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.519 * [taylor]: Taking taylor expansion of b_2 in c
0.519 * [backup-simplify]: Simplify b_2 into b_2
0.519 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.519 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.519 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.519 * [taylor]: Taking taylor expansion of (* a c) in c
0.519 * [taylor]: Taking taylor expansion of a in c
0.519 * [backup-simplify]: Simplify a into a
0.519 * [taylor]: Taking taylor expansion of c in c
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* a 0) into 0
0.519 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.519 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.519 * [taylor]: Taking taylor expansion of (pow b_2 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 (* b_2 b_2) into (pow b_2 2)
0.519 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.519 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.519 * [taylor]: Taking taylor expansion of (* a c) in a
0.519 * [taylor]: Taking taylor expansion of a in a
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [taylor]: Taking taylor expansion of c in a
0.520 * [backup-simplify]: Simplify c into c
0.520 * [backup-simplify]: Simplify (* 0 c) into 0
0.520 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.520 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.520 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.520 * [taylor]: Taking taylor expansion of b_2 in b_2
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [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
0.521 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.521 * [taylor]: Taking taylor expansion of a in b_2
0.521 * [backup-simplify]: Simplify a into a
0.521 * [taylor]: Taking taylor expansion of c in b_2
0.521 * [backup-simplify]: Simplify c into c
0.521 * [backup-simplify]: Simplify (* a c) into (* a c)
0.521 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.521 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.521 * [taylor]: Taking taylor expansion of b_2 in b_2
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1 1) into 1
0.521 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.521 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.521 * [taylor]: Taking taylor expansion of a in b_2
0.521 * [backup-simplify]: Simplify a into a
0.521 * [taylor]: Taking taylor expansion of c in b_2
0.521 * [backup-simplify]: Simplify c into c
0.521 * [backup-simplify]: Simplify (* a c) into (* a c)
0.521 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.522 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [taylor]: Taking taylor expansion of 1 in a
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [taylor]: Taking taylor expansion of 0 in a
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [taylor]: Taking taylor expansion of 1 in c
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.524 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
0.524 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.524 * [taylor]: Taking taylor expansion of (* a c) in a
0.524 * [taylor]: Taking taylor expansion of a in a
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.524 * [taylor]: Taking taylor expansion of c in a
0.524 * [backup-simplify]: Simplify c into c
0.524 * [backup-simplify]: Simplify (* 0 c) into 0
0.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.525 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.525 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.525 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
0.525 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.525 * [taylor]: Taking taylor expansion of c in c
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [backup-simplify]: Simplify (- 1) into -1
0.525 * [backup-simplify]: Simplify -1 into -1
0.525 * [taylor]: Taking taylor expansion of 0 in c
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [taylor]: Taking taylor expansion of 0 in c
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.527 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) 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 (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.528 * [taylor]: Taking taylor expansion of 0 in c
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [taylor]: Taking taylor expansion of 0 in c
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [taylor]: Taking taylor expansion of 0 in c
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (- 0) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [taylor]: Taking taylor expansion of 0 in a
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [taylor]: Taking taylor expansion of 0 in c
0.531 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.536 * [backup-simplify]: Simplify (- 0) into 0
0.536 * [taylor]: Taking taylor expansion of 0 in c
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [taylor]: Taking taylor expansion of 0 in c
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [taylor]: Taking taylor expansion of 0 in c
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [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))
0.537 * [backup-simplify]: Simplify (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
0.537 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.537 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.537 * [taylor]: Taking taylor expansion of b_2 in c
0.537 * [backup-simplify]: Simplify b_2 into b_2
0.537 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.537 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.537 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.537 * [taylor]: Taking taylor expansion of (* a c) in c
0.537 * [taylor]: Taking taylor expansion of a in c
0.537 * [backup-simplify]: Simplify a into a
0.537 * [taylor]: Taking taylor expansion of c in c
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (* a 0) into 0
0.538 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.538 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.538 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.538 * [taylor]: Taking taylor expansion of b_2 in a
0.538 * [backup-simplify]: Simplify b_2 into b_2
0.538 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.538 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.538 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.538 * [taylor]: Taking taylor expansion of (* a c) in a
0.538 * [taylor]: Taking taylor expansion of a in a
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [taylor]: Taking taylor expansion of c in a
0.538 * [backup-simplify]: Simplify c into c
0.538 * [backup-simplify]: Simplify (* 0 c) into 0
0.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.538 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.539 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.539 * [taylor]: Taking taylor expansion of b_2 in b_2
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (/ 1 1) into 1
0.539 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.539 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.539 * [taylor]: Taking taylor expansion of a in b_2
0.539 * [backup-simplify]: Simplify a into a
0.539 * [taylor]: Taking taylor expansion of c in b_2
0.539 * [backup-simplify]: Simplify c into c
0.539 * [backup-simplify]: Simplify (* a c) into (* a c)
0.539 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.539 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.539 * [taylor]: Taking taylor expansion of b_2 in b_2
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify (* 1 1) into 1
0.540 * [backup-simplify]: Simplify (/ 1 1) into 1
0.540 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.540 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.540 * [taylor]: Taking taylor expansion of a in b_2
0.540 * [backup-simplify]: Simplify a into a
0.540 * [taylor]: Taking taylor expansion of c in b_2
0.540 * [backup-simplify]: Simplify c into c
0.540 * [backup-simplify]: Simplify (* a c) into (* a c)
0.540 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.540 * [backup-simplify]: Simplify (+ 1 0) into 1
0.540 * [taylor]: Taking taylor expansion of 1 in a
0.540 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [taylor]: Taking taylor expansion of 0 in a
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [taylor]: Taking taylor expansion of 1 in c
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.543 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.543 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
0.543 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.543 * [taylor]: Taking taylor expansion of (* a c) in a
0.543 * [taylor]: Taking taylor expansion of a in a
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [taylor]: Taking taylor expansion of c in a
0.543 * [backup-simplify]: Simplify c into c
0.543 * [backup-simplify]: Simplify (* 0 c) into 0
0.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.543 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.543 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.543 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
0.544 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.544 * [taylor]: Taking taylor expansion of c in c
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [backup-simplify]: Simplify (- 1) into -1
0.544 * [backup-simplify]: Simplify -1 into -1
0.544 * [taylor]: Taking taylor expansion of 0 in c
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [taylor]: Taking taylor expansion of 0 in c
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.546 * [backup-simplify]: Simplify (- 0) into 0
0.546 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [taylor]: Taking taylor expansion of 0 in a
0.546 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.547 * [taylor]: Taking taylor expansion of 0 in c
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [taylor]: Taking taylor expansion of 0 in c
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [taylor]: Taking taylor expansion of 0 in c
0.547 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.550 * [backup-simplify]: Simplify (- 0) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [taylor]: Taking taylor expansion of 0 in a
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
0.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
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 * [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 0 into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [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))
0.552 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.552 * [backup-simplify]: Simplify (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) into (- (+ (sqrt (- (pow b_2 2) (* a c))) b_2))
0.552 * [approximate]: Taking taylor expansion of (- (+ (sqrt (- (pow b_2 2) (* a c))) b_2)) in (b_2 a c) around 0
0.552 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (pow b_2 2) (* a c))) b_2)) in c
0.552 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in c
0.552 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
0.552 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.552 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.552 * [taylor]: Taking taylor expansion of b_2 in c
0.552 * [backup-simplify]: Simplify b_2 into b_2
0.552 * [taylor]: Taking taylor expansion of (* a c) in c
0.552 * [taylor]: Taking taylor expansion of a in c
0.552 * [backup-simplify]: Simplify a into a
0.552 * [taylor]: Taking taylor expansion of c in c
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.552 * [backup-simplify]: Simplify (* a 0) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.553 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.553 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.553 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.553 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.553 * [backup-simplify]: Simplify (- a) into (- a)
0.553 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
0.553 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
0.554 * [taylor]: Taking taylor expansion of b_2 in c
0.554 * [backup-simplify]: Simplify b_2 into b_2
0.554 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (pow b_2 2) (* a c))) b_2)) in a
0.554 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in a
0.554 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
0.554 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.554 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.554 * [taylor]: Taking taylor expansion of b_2 in a
0.554 * [backup-simplify]: Simplify b_2 into b_2
0.554 * [taylor]: Taking taylor expansion of (* a c) in a
0.554 * [taylor]: Taking taylor expansion of a in a
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [taylor]: Taking taylor expansion of c in a
0.554 * [backup-simplify]: Simplify c into c
0.554 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.554 * [backup-simplify]: Simplify (* 0 c) into 0
0.554 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.554 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.554 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.555 * [backup-simplify]: Simplify (- c) into (- c)
0.555 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
0.555 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
0.555 * [taylor]: Taking taylor expansion of b_2 in a
0.555 * [backup-simplify]: Simplify b_2 into b_2
0.555 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (pow b_2 2) (* a c))) b_2)) in b_2
0.555 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.555 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.555 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.555 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.555 * [taylor]: Taking taylor expansion of b_2 in b_2
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.555 * [taylor]: Taking taylor expansion of a in b_2
0.555 * [backup-simplify]: Simplify a into a
0.555 * [taylor]: Taking taylor expansion of c in b_2
0.555 * [backup-simplify]: Simplify c into c
0.555 * [backup-simplify]: Simplify (* a c) into (* a c)
0.555 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.555 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.555 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.555 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.556 * [backup-simplify]: Simplify (- 0) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.556 * [taylor]: Taking taylor expansion of b_2 in b_2
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1 into 1
0.556 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (pow b_2 2) (* a c))) b_2)) in b_2
0.556 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.556 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.556 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.556 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.556 * [taylor]: Taking taylor expansion of b_2 in b_2
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1 into 1
0.556 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.556 * [taylor]: Taking taylor expansion of a in b_2
0.556 * [backup-simplify]: Simplify a into a
0.556 * [taylor]: Taking taylor expansion of c in b_2
0.556 * [backup-simplify]: Simplify c into c
0.556 * [backup-simplify]: Simplify (* a c) into (* a c)
0.556 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.556 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.556 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.556 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
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 (+ (sqrt (- (* a c))) 0) into (sqrt (- (* a c)))
0.557 * [backup-simplify]: Simplify (- (sqrt (- (* a c)))) into (- (sqrt (- (* a c))))
0.557 * [taylor]: Taking taylor expansion of (- (sqrt (- (* a c)))) in a
0.557 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.557 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.557 * [taylor]: Taking taylor expansion of (* a c) in a
0.557 * [taylor]: Taking taylor expansion of a in a
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [taylor]: Taking taylor expansion of c in a
0.557 * [backup-simplify]: Simplify c into c
0.558 * [backup-simplify]: Simplify (* 0 c) into 0
0.558 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.558 * [backup-simplify]: Simplify (- c) into (- c)
0.558 * [backup-simplify]: Simplify (sqrt 0) into 0
0.558 * [backup-simplify]: Simplify (- c) into (- c)
0.559 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.559 * [backup-simplify]: Simplify (- 0) into 0
0.559 * [taylor]: Taking taylor expansion of 0 in c
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ 0 1) into 1
0.560 * [backup-simplify]: Simplify (- 1) into -1
0.560 * [taylor]: Taking taylor expansion of -1 in a
0.560 * [backup-simplify]: Simplify -1 into -1
0.560 * [taylor]: Taking taylor expansion of -1 in c
0.560 * [backup-simplify]: Simplify -1 into -1
0.560 * [backup-simplify]: Simplify -1 into -1
0.560 * [backup-simplify]: Simplify (- (* +nan.0 c)) into (- (* +nan.0 c))
0.560 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
0.560 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.560 * [taylor]: Taking taylor expansion of +nan.0 in c
0.560 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.560 * [taylor]: Taking taylor expansion of c in c
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.560 * [backup-simplify]: Simplify (- 0) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify (+ 1 0) into 1
0.562 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
0.562 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- (* a c)))) 0) into (* 1/2 (/ 1 (sqrt (- (* a c)))))
0.562 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt (- (* a c)))))) into (- (* 1/2 (/ 1 (sqrt (- (* a c))))))
0.562 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (sqrt (- (* a c)))))) in a
0.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (* a c))))) in a
0.562 * [taylor]: Taking taylor expansion of 1/2 in a
0.562 * [backup-simplify]: Simplify 1/2 into 1/2
0.562 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (* a c)))) in a
0.562 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.562 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.562 * [taylor]: Taking taylor expansion of (* a c) in a
0.562 * [taylor]: Taking taylor expansion of a in a
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [taylor]: Taking taylor expansion of c in a
0.562 * [backup-simplify]: Simplify c into c
0.563 * [backup-simplify]: Simplify (* 0 c) into 0
0.563 * [backup-simplify]: Simplify (- 0) into 0
0.563 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.563 * [backup-simplify]: Simplify (- c) into (- c)
0.564 * [backup-simplify]: Simplify (sqrt 0) into 0
0.564 * [backup-simplify]: Simplify (- c) into (- c)
0.564 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.564 * [backup-simplify]: Simplify (/ 1 (* +nan.0 c)) into (/ +nan.0 c)
0.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.565 * [backup-simplify]: Simplify (- 0) into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.566 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
0.567 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 (/ +nan.0 c))) into (- +nan.0)
0.568 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
0.568 * [taylor]: Taking taylor expansion of (- +nan.0) in c
0.568 * [taylor]: Taking taylor expansion of +nan.0 in c
0.568 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.568 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.568 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.568 * [taylor]: Taking taylor expansion of 0 in c
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.569 * [backup-simplify]: Simplify (- 0) into 0
0.570 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.570 * [backup-simplify]: Simplify (- (* +nan.0 (pow c 2))) into (- (* +nan.0 (pow c 2)))
0.570 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow c 2))) in c
0.570 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
0.570 * [taylor]: Taking taylor expansion of +nan.0 in c
0.570 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.570 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.570 * [taylor]: Taking taylor expansion of c in c
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 1 into 1
0.570 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.572 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
0.572 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.573 * [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)))))
0.573 * [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)))
0.573 * [approximate]: Taking taylor expansion of (- (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in (b_2 a c) around 0
0.573 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in c
0.573 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in c
0.574 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.574 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.574 * [taylor]: Taking taylor expansion of b_2 in c
0.574 * [backup-simplify]: Simplify b_2 into b_2
0.574 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.574 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.574 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.574 * [taylor]: Taking taylor expansion of (* a c) in c
0.574 * [taylor]: Taking taylor expansion of a in c
0.574 * [backup-simplify]: Simplify a into a
0.574 * [taylor]: Taking taylor expansion of c in c
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (* a 0) into 0
0.575 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.575 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.575 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.575 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.575 * [backup-simplify]: Simplify (sqrt 0) into 0
0.576 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.576 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.576 * [taylor]: Taking taylor expansion of b_2 in c
0.576 * [backup-simplify]: Simplify b_2 into b_2
0.576 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.576 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in a
0.576 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in a
0.576 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.576 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.576 * [taylor]: Taking taylor expansion of b_2 in a
0.576 * [backup-simplify]: Simplify b_2 into b_2
0.576 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.576 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.576 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.576 * [taylor]: Taking taylor expansion of (* a c) in a
0.576 * [taylor]: Taking taylor expansion of a in a
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [taylor]: Taking taylor expansion of c in a
0.576 * [backup-simplify]: Simplify c into c
0.576 * [backup-simplify]: Simplify (* 0 c) into 0
0.577 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.577 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.577 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.577 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.577 * [backup-simplify]: Simplify (sqrt 0) into 0
0.578 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.578 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.578 * [taylor]: Taking taylor expansion of b_2 in a
0.578 * [backup-simplify]: Simplify b_2 into b_2
0.578 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.578 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in b_2
0.578 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.578 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.578 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.578 * [taylor]: Taking taylor expansion of b_2 in b_2
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (* 1 1) into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.578 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.578 * [taylor]: Taking taylor expansion of a in b_2
0.578 * [backup-simplify]: Simplify a into a
0.578 * [taylor]: Taking taylor expansion of c in b_2
0.578 * [backup-simplify]: Simplify c into c
0.579 * [backup-simplify]: Simplify (* a c) into (* a c)
0.579 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.579 * [backup-simplify]: Simplify (+ 1 0) into 1
0.579 * [backup-simplify]: Simplify (sqrt 1) into 1
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.581 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.581 * [taylor]: Taking taylor expansion of b_2 in b_2
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 1 into 1
0.581 * [backup-simplify]: Simplify (/ 1 1) into 1
0.581 * [taylor]: Taking taylor expansion of (- (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in b_2
0.581 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.581 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.581 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.581 * [taylor]: Taking taylor expansion of b_2 in b_2
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (* 1 1) into 1
0.582 * [backup-simplify]: Simplify (/ 1 1) into 1
0.582 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.582 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.582 * [taylor]: Taking taylor expansion of a in b_2
0.582 * [backup-simplify]: Simplify a into a
0.582 * [taylor]: Taking taylor expansion of c in b_2
0.582 * [backup-simplify]: Simplify c into c
0.582 * [backup-simplify]: Simplify (* a c) into (* a c)
0.582 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.582 * [backup-simplify]: Simplify (+ 1 0) into 1
0.583 * [backup-simplify]: Simplify (sqrt 1) into 1
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.584 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.584 * [taylor]: Taking taylor expansion of b_2 in b_2
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify (/ 1 1) into 1
0.585 * [backup-simplify]: Simplify (+ 1 1) into 2
0.585 * [backup-simplify]: Simplify (- 2) into -2
0.585 * [taylor]: Taking taylor expansion of -2 in a
0.585 * [backup-simplify]: Simplify -2 into -2
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.586 * [backup-simplify]: Simplify (- 0) into 0
0.586 * [taylor]: Taking taylor expansion of 0 in a
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [taylor]: Taking taylor expansion of -2 in c
0.586 * [backup-simplify]: Simplify -2 into -2
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.587 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.588 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (+ (/ -1/2 (* a c)) 0) into (- (* 1/2 (/ 1 (* a c))))
0.589 * [backup-simplify]: Simplify (- (- (* 1/2 (/ 1 (* a c))))) into (* 1/2 (/ 1 (* a c)))
0.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a c))) in a
0.589 * [taylor]: Taking taylor expansion of 1/2 in a
0.589 * [backup-simplify]: Simplify 1/2 into 1/2
0.589 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.589 * [taylor]: Taking taylor expansion of (* a c) in a
0.589 * [taylor]: Taking taylor expansion of a in a
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [taylor]: Taking taylor expansion of c in a
0.589 * [backup-simplify]: Simplify c into c
0.589 * [backup-simplify]: Simplify (* 0 c) into 0
0.589 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.589 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.589 * [taylor]: Taking taylor expansion of (/ 1/2 c) in c
0.589 * [taylor]: Taking taylor expansion of 1/2 in c
0.589 * [backup-simplify]: Simplify 1/2 into 1/2
0.589 * [taylor]: Taking taylor expansion of c in c
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.590 * [backup-simplify]: Simplify 1/2 into 1/2
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 into -2
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.591 * [backup-simplify]: Simplify (- 0) into 0
0.592 * [backup-simplify]: Simplify (+ 0 0) into 0
0.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.593 * [taylor]: Taking taylor expansion of 0 in a
0.593 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.594 * [taylor]: Taking taylor expansion of 0 in c
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [taylor]: Taking taylor expansion of 0 in c
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [taylor]: Taking taylor expansion of 0 in c
0.594 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.597 * [backup-simplify]: Simplify (- 0) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.598 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ (/ -1/8 (* (pow a 2) (pow c 2))) 0) into (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))
0.599 * [backup-simplify]: Simplify (- (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))) into (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))
0.599 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))) in a
0.599 * [taylor]: Taking taylor expansion of 1/8 in a
0.599 * [backup-simplify]: Simplify 1/8 into 1/8
0.599 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow c 2))) in a
0.599 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.599 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.599 * [taylor]: Taking taylor expansion of a in a
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.599 * [taylor]: Taking taylor expansion of c in a
0.599 * [backup-simplify]: Simplify c into c
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.599 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.600 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.600 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (pow c 2)))) into 0
0.601 * [taylor]: Taking taylor expansion of 0 in c
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [taylor]: Taking taylor expansion of 0 in c
0.601 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
0.602 * [taylor]: Taking taylor expansion of 0 in c
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [taylor]: Taking taylor expansion of 0 in c
0.602 * [backup-simplify]: Simplify 0 into 0
0.603 * [taylor]: Taking taylor expansion of 0 in c
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [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))
0.603 * [backup-simplify]: Simplify (- (- (/ 1 (- b_2))) (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))))) into (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))))
0.603 * [approximate]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in (b_2 a c) around 0
0.603 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in c
0.603 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.603 * [taylor]: Taking taylor expansion of b_2 in c
0.603 * [backup-simplify]: Simplify b_2 into b_2
0.603 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.603 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.603 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.603 * [taylor]: Taking taylor expansion of b_2 in c
0.603 * [backup-simplify]: Simplify b_2 into b_2
0.603 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.603 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.603 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.604 * [taylor]: Taking taylor expansion of (* a c) in c
0.604 * [taylor]: Taking taylor expansion of a in c
0.604 * [backup-simplify]: Simplify a into a
0.604 * [taylor]: Taking taylor expansion of c in c
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify 1 into 1
0.604 * [backup-simplify]: Simplify (* a 0) into 0
0.604 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.604 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.604 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.604 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.604 * [backup-simplify]: Simplify (sqrt 0) into 0
0.605 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.605 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in a
0.605 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.605 * [taylor]: Taking taylor expansion of b_2 in a
0.605 * [backup-simplify]: Simplify b_2 into b_2
0.605 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.605 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.605 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.605 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.605 * [taylor]: Taking taylor expansion of b_2 in a
0.605 * [backup-simplify]: Simplify b_2 into b_2
0.605 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.605 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.605 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.605 * [taylor]: Taking taylor expansion of (* a c) in a
0.605 * [taylor]: Taking taylor expansion of a in a
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [taylor]: Taking taylor expansion of c in a
0.605 * [backup-simplify]: Simplify c into c
0.605 * [backup-simplify]: Simplify (* 0 c) into 0
0.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.606 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.606 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.606 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.606 * [backup-simplify]: Simplify (sqrt 0) into 0
0.606 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.606 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in b_2
0.606 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.606 * [taylor]: Taking taylor expansion of b_2 in b_2
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (/ 1 1) into 1
0.607 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.607 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.607 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.607 * [taylor]: Taking taylor expansion of b_2 in b_2
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (* 1 1) into 1
0.607 * [backup-simplify]: Simplify (/ 1 1) into 1
0.607 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.607 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.607 * [taylor]: Taking taylor expansion of a in b_2
0.607 * [backup-simplify]: Simplify a into a
0.607 * [taylor]: Taking taylor expansion of c in b_2
0.607 * [backup-simplify]: Simplify c into c
0.607 * [backup-simplify]: Simplify (* a c) into (* a c)
0.607 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.608 * [backup-simplify]: Simplify (+ 1 0) into 1
0.608 * [backup-simplify]: Simplify (sqrt 1) into 1
0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.609 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in b_2
0.609 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.609 * [taylor]: Taking taylor expansion of b_2 in b_2
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify (/ 1 1) into 1
0.610 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.610 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.610 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.610 * [taylor]: Taking taylor expansion of b_2 in b_2
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify (* 1 1) into 1
0.610 * [backup-simplify]: Simplify (/ 1 1) into 1
0.610 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.610 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.610 * [taylor]: Taking taylor expansion of a in b_2
0.610 * [backup-simplify]: Simplify a into a
0.610 * [taylor]: Taking taylor expansion of c in b_2
0.610 * [backup-simplify]: Simplify c into c
0.610 * [backup-simplify]: Simplify (* a c) into (* a c)
0.611 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.611 * [backup-simplify]: Simplify (+ 1 0) into 1
0.611 * [backup-simplify]: Simplify (sqrt 1) into 1
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.613 * [backup-simplify]: Simplify (- 1) into -1
0.613 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.613 * [taylor]: Taking taylor expansion of 0 in a
0.613 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (- 0) into 0
0.614 * [backup-simplify]: Simplify (+ 0 0) into 0
0.614 * [taylor]: Taking taylor expansion of 0 in a
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [taylor]: Taking taylor expansion of 0 in c
0.614 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.616 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.617 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.617 * [backup-simplify]: Simplify (- (/ -1/2 (* a c))) into (* 1/2 (/ 1 (* a c)))
0.617 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (* a c)))) into (* 1/2 (/ 1 (* a c)))
0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a c))) in a
0.617 * [taylor]: Taking taylor expansion of 1/2 in a
0.617 * [backup-simplify]: Simplify 1/2 into 1/2
0.617 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.617 * [taylor]: Taking taylor expansion of (* a c) in a
0.617 * [taylor]: Taking taylor expansion of a in a
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [taylor]: Taking taylor expansion of c in a
0.617 * [backup-simplify]: Simplify c into c
0.617 * [backup-simplify]: Simplify (* 0 c) into 0
0.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.618 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.618 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.618 * [taylor]: Taking taylor expansion of (/ 1/2 c) in c
0.618 * [taylor]: Taking taylor expansion of 1/2 in c
0.618 * [backup-simplify]: Simplify 1/2 into 1/2
0.618 * [taylor]: Taking taylor expansion of c in c
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 1 into 1
0.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.618 * [backup-simplify]: Simplify 1/2 into 1/2
0.618 * [taylor]: Taking taylor expansion of 0 in c
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [taylor]: Taking taylor expansion of 0 in c
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.620 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.620 * [backup-simplify]: Simplify (- 0) into 0
0.620 * [backup-simplify]: Simplify (+ 0 0) into 0
0.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.621 * [backup-simplify]: Simplify (- 0) into 0
0.621 * [backup-simplify]: Simplify (+ 0 0) into 0
0.621 * [taylor]: Taking taylor expansion of 0 in a
0.621 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.622 * [taylor]: Taking taylor expansion of 0 in c
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [taylor]: Taking taylor expansion of 0 in c
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [taylor]: Taking taylor expansion of 0 in c
0.622 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.625 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.626 * [backup-simplify]: Simplify (- 0) into 0
0.626 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.627 * [backup-simplify]: Simplify (- (/ -1/8 (* (pow a 2) (pow c 2)))) into (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))
0.627 * [backup-simplify]: Simplify (+ 0 (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) into (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))
0.627 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))) in a
0.627 * [taylor]: Taking taylor expansion of 1/8 in a
0.627 * [backup-simplify]: Simplify 1/8 into 1/8
0.627 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow c 2))) in a
0.627 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
0.627 * [taylor]: Taking taylor expansion of (pow a 2) in a
0.627 * [taylor]: Taking taylor expansion of a in a
0.627 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify 1 into 1
0.627 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.627 * [taylor]: Taking taylor expansion of c in a
0.627 * [backup-simplify]: Simplify c into c
0.627 * [backup-simplify]: Simplify (* 1 1) into 1
0.628 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.628 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
0.628 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.628 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
0.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.629 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (pow c 2)))) into 0
0.629 * [taylor]: Taking taylor expansion of 0 in c
0.629 * [backup-simplify]: Simplify 0 into 0
0.629 * [taylor]: Taking taylor expansion of 0 in c
0.629 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
0.631 * [taylor]: Taking taylor expansion of 0 in c
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [taylor]: Taking taylor expansion of 0 in c
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [taylor]: Taking taylor expansion of 0 in c
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b_2))))) into (* -1/2 (/ (* a c) b_2))
0.631 * * * * [progress]: [ 4 / 4 ] generating series at (2)
0.631 * [backup-simplify]: Simplify (/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) into (* -1 (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a))
0.631 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a)) in (b_2 a c) around 0
0.631 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a)) in c
0.631 * [taylor]: Taking taylor expansion of -1 in c
0.631 * [backup-simplify]: Simplify -1 into -1
0.631 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a) in c
0.631 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in c
0.631 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
0.631 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
0.631 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.631 * [taylor]: Taking taylor expansion of b_2 in c
0.631 * [backup-simplify]: Simplify b_2 into b_2
0.631 * [taylor]: Taking taylor expansion of (* a c) in c
0.631 * [taylor]: Taking taylor expansion of a in c
0.631 * [backup-simplify]: Simplify a into a
0.631 * [taylor]: Taking taylor expansion of c in c
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.631 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.631 * [backup-simplify]: Simplify (* a 0) into 0
0.632 * [backup-simplify]: Simplify (- 0) into 0
0.632 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.632 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.632 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.632 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.632 * [backup-simplify]: Simplify (- a) into (- a)
0.632 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
0.632 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
0.632 * [taylor]: Taking taylor expansion of b_2 in c
0.632 * [backup-simplify]: Simplify b_2 into b_2
0.632 * [taylor]: Taking taylor expansion of a in c
0.632 * [backup-simplify]: Simplify a into a
0.633 * [backup-simplify]: Simplify (+ b_2 b_2) into (* 2 b_2)
0.633 * [backup-simplify]: Simplify (/ (* 2 b_2) a) into (* 2 (/ b_2 a))
0.633 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a)) in a
0.633 * [taylor]: Taking taylor expansion of -1 in a
0.633 * [backup-simplify]: Simplify -1 into -1
0.633 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a) in a
0.633 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in a
0.633 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
0.633 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
0.633 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.633 * [taylor]: Taking taylor expansion of b_2 in a
0.633 * [backup-simplify]: Simplify b_2 into b_2
0.633 * [taylor]: Taking taylor expansion of (* a c) in a
0.633 * [taylor]: Taking taylor expansion of a in a
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 1 into 1
0.633 * [taylor]: Taking taylor expansion of c in a
0.633 * [backup-simplify]: Simplify c into c
0.633 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.633 * [backup-simplify]: Simplify (* 0 c) into 0
0.636 * [backup-simplify]: Simplify (- 0) into 0
0.636 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
0.636 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
0.636 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
0.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.637 * [backup-simplify]: Simplify (- c) into (- c)
0.637 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
0.637 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
0.637 * [taylor]: Taking taylor expansion of b_2 in a
0.637 * [backup-simplify]: Simplify b_2 into b_2
0.637 * [taylor]: Taking taylor expansion of a in a
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 1 into 1
0.637 * [backup-simplify]: Simplify (+ b_2 b_2) into (* 2 b_2)
0.637 * [backup-simplify]: Simplify (/ (* 2 b_2) 1) into (* 2 b_2)
0.637 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a)) in b_2
0.637 * [taylor]: Taking taylor expansion of -1 in b_2
0.637 * [backup-simplify]: Simplify -1 into -1
0.637 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a) in b_2
0.637 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.637 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.637 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.637 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.637 * [taylor]: Taking taylor expansion of b_2 in b_2
0.637 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 1 into 1
0.638 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.638 * [taylor]: Taking taylor expansion of a in b_2
0.638 * [backup-simplify]: Simplify a into a
0.638 * [taylor]: Taking taylor expansion of c in b_2
0.638 * [backup-simplify]: Simplify c into c
0.638 * [backup-simplify]: Simplify (* a c) into (* a c)
0.638 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.638 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.638 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.638 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.638 * [backup-simplify]: Simplify (- 0) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.639 * [taylor]: Taking taylor expansion of b_2 in b_2
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [taylor]: Taking taylor expansion of a in b_2
0.639 * [backup-simplify]: Simplify a into a
0.639 * [backup-simplify]: Simplify (+ (sqrt (- (* a c))) 0) into (sqrt (- (* a c)))
0.639 * [backup-simplify]: Simplify (/ (sqrt (- (* a c))) a) into (/ (sqrt (- (* a c))) a)
0.639 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a)) in b_2
0.639 * [taylor]: Taking taylor expansion of -1 in b_2
0.639 * [backup-simplify]: Simplify -1 into -1
0.639 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- (pow b_2 2) (* a c))) b_2) a) in b_2
0.639 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow b_2 2) (* a c))) b_2) in b_2
0.639 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
0.639 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
0.639 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.639 * [taylor]: Taking taylor expansion of b_2 in b_2
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.639 * [taylor]: Taking taylor expansion of a in b_2
0.639 * [backup-simplify]: Simplify a into a
0.639 * [taylor]: Taking taylor expansion of c in b_2
0.639 * [backup-simplify]: Simplify c into c
0.639 * [backup-simplify]: Simplify (* a c) into (* a c)
0.639 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
0.639 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
0.639 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
0.639 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
0.640 * [taylor]: Taking taylor expansion of b_2 in b_2
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify 1 into 1
0.640 * [taylor]: Taking taylor expansion of a in b_2
0.640 * [backup-simplify]: Simplify a into a
0.640 * [backup-simplify]: Simplify (+ (sqrt (- (* a c))) 0) into (sqrt (- (* a c)))
0.640 * [backup-simplify]: Simplify (/ (sqrt (- (* a c))) a) into (/ (sqrt (- (* a c))) a)
0.640 * [backup-simplify]: Simplify (* -1 (/ (sqrt (- (* a c))) a)) into (* -1 (/ (sqrt (- (* a c))) a))
0.640 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (* a c))) a)) in a
0.640 * [taylor]: Taking taylor expansion of -1 in a
0.640 * [backup-simplify]: Simplify -1 into -1
0.640 * [taylor]: Taking taylor expansion of (/ (sqrt (- (* a c))) a) in a
0.640 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.640 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.640 * [taylor]: Taking taylor expansion of (* a c) in a
0.640 * [taylor]: Taking taylor expansion of a in a
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify 1 into 1
0.640 * [taylor]: Taking taylor expansion of c in a
0.640 * [backup-simplify]: Simplify c into c
0.641 * [backup-simplify]: Simplify (* 0 c) into 0
0.641 * [backup-simplify]: Simplify (- 0) into 0
0.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.641 * [backup-simplify]: Simplify (- c) into (- c)
0.641 * [backup-simplify]: Simplify (sqrt 0) into 0
0.641 * [backup-simplify]: Simplify (- c) into (- c)
0.642 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.642 * [taylor]: Taking taylor expansion of a in a
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify (/ (* +nan.0 c) 1) into (* +nan.0 c)
0.642 * [backup-simplify]: Simplify (+ 0 1) into 1
0.642 * [backup-simplify]: Simplify (- (/ 1 a) (+ (* (/ (sqrt (- (* a c))) a) (/ 0 a)))) into (/ 1 a)
0.642 * [backup-simplify]: Simplify (+ (* -1 (/ 1 a)) (* 0 (/ (sqrt (- (* a c))) a))) into (- (/ 1 a))
0.642 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a
0.642 * [taylor]: Taking taylor expansion of (/ 1 a) in a
0.642 * [taylor]: Taking taylor expansion of a in a
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (/ 1 1) into 1
0.643 * [backup-simplify]: Simplify (- 1) into -1
0.643 * [taylor]: Taking taylor expansion of -1 in c
0.643 * [backup-simplify]: Simplify -1 into -1
0.643 * [backup-simplify]: Simplify -1 into -1
0.643 * [backup-simplify]: Simplify (* -1 (* +nan.0 c)) into (* +nan.0 c)
0.643 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
0.643 * [taylor]: Taking taylor expansion of +nan.0 in c
0.643 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.643 * [taylor]: Taking taylor expansion of c in c
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 1 into 1
0.644 * [backup-simplify]: Simplify (* +nan.0 0) into 0
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify (* 1 1) into 1
0.644 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.644 * [backup-simplify]: Simplify (- 0) into 0
0.645 * [backup-simplify]: Simplify (+ 1 0) into 1
0.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
0.645 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- (* a c)))) 0) into (* 1/2 (/ 1 (sqrt (- (* a c)))))
0.646 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 (sqrt (- (* a c))))) a) (+ (* (/ (sqrt (- (* a c))) a) (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into (* 1/2 (/ 1 (* a (sqrt (- (* a c))))))
0.646 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ 1 (* a (sqrt (- (* a c))))))) (+ (* 0 (/ 1 a)) (* 0 (/ (sqrt (- (* a c))) a)))) into (- (* 1/2 (/ 1 (* a (sqrt (- (* a c)))))))
0.646 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* a (sqrt (- (* a c))))))) in a
0.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a (sqrt (- (* a c)))))) in a
0.646 * [taylor]: Taking taylor expansion of 1/2 in a
0.646 * [backup-simplify]: Simplify 1/2 into 1/2
0.646 * [taylor]: Taking taylor expansion of (/ 1 (* a (sqrt (- (* a c))))) in a
0.646 * [taylor]: Taking taylor expansion of (* a (sqrt (- (* a c)))) in a
0.646 * [taylor]: Taking taylor expansion of a in a
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
0.646 * [taylor]: Taking taylor expansion of (- (* a c)) in a
0.646 * [taylor]: Taking taylor expansion of (* a c) in a
0.646 * [taylor]: Taking taylor expansion of a in a
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [taylor]: Taking taylor expansion of c in a
0.646 * [backup-simplify]: Simplify c into c
0.646 * [backup-simplify]: Simplify (* 0 c) into 0
0.646 * [backup-simplify]: Simplify (- 0) into 0
0.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.647 * [backup-simplify]: Simplify (- c) into (- c)
0.647 * [backup-simplify]: Simplify (sqrt 0) into 0
0.647 * [backup-simplify]: Simplify (- c) into (- c)
0.647 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
0.648 * [backup-simplify]: Simplify (* 0 0) into 0
0.648 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 c)) (* 1 0)) into 0
0.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.649 * [backup-simplify]: Simplify (- 0) into 0
0.649 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.650 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (pow c 2))) (+ (* 1 (* +nan.0 c)) (* 0 0))) into (- (* +nan.0 c))
0.650 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 c))) into (/ +nan.0 c)
0.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.651 * [backup-simplify]: Simplify (- 0) into 0
0.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
0.652 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (pow c 3))) (+ (* 1 (* +nan.0 (pow c 2))) (+ (* 0 (* +nan.0 c)) (* 0 0)))) into (- (* +nan.0 (pow c 2)))
0.652 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 c) (/ (- (* +nan.0 (pow c 2))) (- (* +nan.0 c)))))) into (- +nan.0)
0.653 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 (/ +nan.0 c))) into (- +nan.0)
0.654 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
0.654 * [taylor]: Taking taylor expansion of (- +nan.0) in c
0.654 * [taylor]: Taking taylor expansion of +nan.0 in c
0.654 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.654 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.654 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.655 * [backup-simplify]: Simplify (- 0) into 0
0.655 * [taylor]: Taking taylor expansion of 0 in c
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.656 * [backup-simplify]: Simplify (- 0) into 0
0.656 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
0.657 * [backup-simplify]: Simplify (- (/ (* +nan.0 (pow c 2)) 1) (+ (* (* +nan.0 c) (/ 0 1)))) into (- (* +nan.0 (pow c 2)))
0.657 * [backup-simplify]: Simplify (+ (* -1 (- (* +nan.0 (pow c 2)))) (* 0 (* +nan.0 c))) into (- (* +nan.0 (pow c 2)))
0.657 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow c 2))) in c
0.657 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
0.657 * [taylor]: Taking taylor expansion of +nan.0 in c
0.657 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.657 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.657 * [taylor]: Taking taylor expansion of c in c
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
0.658 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.659 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* c (* 1 1))) (+ (* (- +nan.0) (* 1 (* (/ 1 a) (pow b_2 2)))) (* -1 (* 1 (* (/ 1 a) b_2))))) into (- (+ (/ b_2 a) (- (+ (* +nan.0 (/ (pow b_2 2) a)) (- (* +nan.0 c))))))
0.660 * [backup-simplify]: Simplify (/ (- (- (/ 1 b_2)) (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))))) (/ 1 a)) into (* -1 (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))))
0.660 * [approximate]: Taking taylor expansion of (* -1 (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)))) in (b_2 a c) around 0
0.660 * [taylor]: Taking taylor expansion of (* -1 (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)))) in c
0.660 * [taylor]: Taking taylor expansion of -1 in c
0.660 * [backup-simplify]: Simplify -1 into -1
0.660 * [taylor]: Taking taylor expansion of (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in c
0.660 * [taylor]: Taking taylor expansion of a in c
0.660 * [backup-simplify]: Simplify a into a
0.660 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in c
0.660 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.660 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.660 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.660 * [taylor]: Taking taylor expansion of b_2 in c
0.660 * [backup-simplify]: Simplify b_2 into b_2
0.660 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.660 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.660 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.660 * [taylor]: Taking taylor expansion of (* a c) in c
0.660 * [taylor]: Taking taylor expansion of a in c
0.660 * [backup-simplify]: Simplify a into a
0.660 * [taylor]: Taking taylor expansion of c in c
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify 1 into 1
0.660 * [backup-simplify]: Simplify (* a 0) into 0
0.661 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.661 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.661 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.661 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.661 * [backup-simplify]: Simplify (sqrt 0) into 0
0.661 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.661 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.661 * [taylor]: Taking taylor expansion of b_2 in c
0.661 * [backup-simplify]: Simplify b_2 into b_2
0.661 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.661 * [taylor]: Taking taylor expansion of (* -1 (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)))) in a
0.661 * [taylor]: Taking taylor expansion of -1 in a
0.661 * [backup-simplify]: Simplify -1 into -1
0.661 * [taylor]: Taking taylor expansion of (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in a
0.662 * [taylor]: Taking taylor expansion of a in a
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in a
0.662 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.662 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.662 * [taylor]: Taking taylor expansion of b_2 in a
0.662 * [backup-simplify]: Simplify b_2 into b_2
0.662 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.662 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.662 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.662 * [taylor]: Taking taylor expansion of (* a c) in a
0.662 * [taylor]: Taking taylor expansion of a in a
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [taylor]: Taking taylor expansion of c in a
0.662 * [backup-simplify]: Simplify c into c
0.662 * [backup-simplify]: Simplify (* 0 c) into 0
0.662 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.662 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.662 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.662 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.663 * [backup-simplify]: Simplify (sqrt 0) into 0
0.663 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.663 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.663 * [taylor]: Taking taylor expansion of b_2 in a
0.663 * [backup-simplify]: Simplify b_2 into b_2
0.663 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.663 * [taylor]: Taking taylor expansion of (* -1 (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)))) in b_2
0.663 * [taylor]: Taking taylor expansion of -1 in b_2
0.663 * [backup-simplify]: Simplify -1 into -1
0.663 * [taylor]: Taking taylor expansion of (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in b_2
0.663 * [taylor]: Taking taylor expansion of a in b_2
0.663 * [backup-simplify]: Simplify a into a
0.663 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.663 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.663 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.663 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.663 * [taylor]: Taking taylor expansion of b_2 in b_2
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (* 1 1) into 1
0.664 * [backup-simplify]: Simplify (/ 1 1) into 1
0.664 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.664 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.664 * [taylor]: Taking taylor expansion of a in b_2
0.664 * [backup-simplify]: Simplify a into a
0.664 * [taylor]: Taking taylor expansion of c in b_2
0.664 * [backup-simplify]: Simplify c into c
0.664 * [backup-simplify]: Simplify (* a c) into (* a c)
0.664 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.664 * [backup-simplify]: Simplify (+ 1 0) into 1
0.665 * [backup-simplify]: Simplify (sqrt 1) into 1
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.666 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.666 * [taylor]: Taking taylor expansion of b_2 in b_2
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 1 into 1
0.666 * [backup-simplify]: Simplify (/ 1 1) into 1
0.666 * [taylor]: Taking taylor expansion of (* -1 (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)))) in b_2
0.666 * [taylor]: Taking taylor expansion of -1 in b_2
0.666 * [backup-simplify]: Simplify -1 into -1
0.666 * [taylor]: Taking taylor expansion of (* a (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2))) in b_2
0.666 * [taylor]: Taking taylor expansion of a in b_2
0.666 * [backup-simplify]: Simplify a into a
0.666 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) (/ 1 b_2)) in b_2
0.667 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.667 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.667 * [taylor]: Taking taylor expansion of b_2 in b_2
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify (* 1 1) into 1
0.667 * [backup-simplify]: Simplify (/ 1 1) into 1
0.667 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.667 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.667 * [taylor]: Taking taylor expansion of a in b_2
0.667 * [backup-simplify]: Simplify a into a
0.667 * [taylor]: Taking taylor expansion of c in b_2
0.667 * [backup-simplify]: Simplify c into c
0.667 * [backup-simplify]: Simplify (* a c) into (* a c)
0.667 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.668 * [backup-simplify]: Simplify (+ 1 0) into 1
0.668 * [backup-simplify]: Simplify (sqrt 1) into 1
0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.670 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.670 * [taylor]: Taking taylor expansion of b_2 in b_2
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [backup-simplify]: Simplify (/ 1 1) into 1
0.670 * [backup-simplify]: Simplify (+ 1 1) into 2
0.670 * [backup-simplify]: Simplify (* a 2) into (* 2 a)
0.670 * [backup-simplify]: Simplify (* -1 (* 2 a)) into (* -2 a)
0.670 * [taylor]: Taking taylor expansion of (* -2 a) in a
0.670 * [taylor]: Taking taylor expansion of -2 in a
0.670 * [backup-simplify]: Simplify -2 into -2
0.670 * [taylor]: Taking taylor expansion of a in a
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.671 * [backup-simplify]: Simplify (+ 0 0) into 0
0.671 * [backup-simplify]: Simplify (+ (* a 0) (* 0 2)) into 0
0.672 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* 2 a))) into 0
0.672 * [taylor]: Taking taylor expansion of 0 in a
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (* -2 0) into 0
0.672 * [taylor]: Taking taylor expansion of 0 in c
0.672 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.674 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.674 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.675 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.676 * [backup-simplify]: Simplify (+ (/ -1/2 (* a c)) 0) into (- (* 1/2 (/ 1 (* a c))))
0.676 * [backup-simplify]: Simplify (+ (* a (- (* 1/2 (/ 1 (* a c))))) (+ (* 0 0) (* 0 2))) into (- (* 1/2 (/ 1 c)))
0.677 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 c)))) (+ (* 0 0) (* 0 (* 2 a)))) into (* 1/2 (/ 1 c))
0.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in a
0.677 * [taylor]: Taking taylor expansion of 1/2 in a
0.677 * [backup-simplify]: Simplify 1/2 into 1/2
0.677 * [taylor]: Taking taylor expansion of (/ 1 c) in a
0.677 * [taylor]: Taking taylor expansion of c in a
0.677 * [backup-simplify]: Simplify c into c
0.677 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.677 * [taylor]: Taking taylor expansion of 0 in c
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
0.678 * [taylor]: Taking taylor expansion of -2 in c
0.678 * [backup-simplify]: Simplify -2 into -2
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.679 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.679 * [backup-simplify]: Simplify (- 0) into 0
0.679 * [backup-simplify]: Simplify (+ 0 0) into 0
0.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (- (* 1/2 (/ 1 (* a c))))) (+ (* 0 0) (* 0 2)))) into 0
0.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 1/2 (/ 1 c)))) (+ (* 0 0) (* 0 (* 2 a))))) into 0
0.682 * [taylor]: Taking taylor expansion of 0 in a
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.682 * [taylor]: Taking taylor expansion of (/ 1/2 c) in c
0.682 * [taylor]: Taking taylor expansion of 1/2 in c
0.682 * [backup-simplify]: Simplify 1/2 into 1/2
0.682 * [taylor]: Taking taylor expansion of c in c
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.682 * [backup-simplify]: Simplify 1/2 into 1/2
0.682 * [taylor]: Taking taylor expansion of 0 in c
0.682 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
0.683 * [taylor]: Taking taylor expansion of 0 in c
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify -2 into -2
0.683 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.684 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.685 * [backup-simplify]: Simplify (- 0) into 0
0.685 * [backup-simplify]: Simplify (+ 0 0) into 0
0.686 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.687 * [backup-simplify]: Simplify (+ (/ -1/8 (* (pow a 2) (pow c 2))) 0) into (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))
0.688 * [backup-simplify]: Simplify (+ (* a (- (* 1/8 (/ 1 (* (pow a 2) (pow c 2)))))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (* a c))))) (+ (* 0 0) (* 0 2))))) into (- (* 1/8 (/ 1 (* a (pow c 2)))))
0.688 * [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))))
0.688 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* a (pow c 2)))) in a
0.688 * [taylor]: Taking taylor expansion of 1/8 in a
0.688 * [backup-simplify]: Simplify 1/8 into 1/8
0.688 * [taylor]: Taking taylor expansion of (/ 1 (* a (pow c 2))) in a
0.688 * [taylor]: Taking taylor expansion of (* a (pow c 2)) in a
0.688 * [taylor]: Taking taylor expansion of a in a
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 1 into 1
0.688 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.688 * [taylor]: Taking taylor expansion of c in a
0.688 * [backup-simplify]: Simplify c into c
0.689 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.689 * [backup-simplify]: Simplify (* 0 (pow c 2)) into 0
0.689 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow c 2))) into (pow c 2)
0.689 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.689 * [backup-simplify]: Simplify (* 1/8 (/ 1 (pow c 2))) into (/ 1/8 (pow c 2))
0.689 * [taylor]: Taking taylor expansion of (/ 1/8 (pow c 2)) in c
0.689 * [taylor]: Taking taylor expansion of 1/8 in c
0.689 * [backup-simplify]: Simplify 1/8 into 1/8
0.689 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.689 * [taylor]: Taking taylor expansion of c in c
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.690 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [taylor]: Taking taylor expansion of 0 in c
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.691 * [taylor]: Taking taylor expansion of 0 in c
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [taylor]: Taking taylor expansion of 0 in c
0.691 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.692 * [taylor]: Taking taylor expansion of 0 in c
0.692 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [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)))
0.693 * [backup-simplify]: Simplify (/ (- (- (/ 1 (- b_2))) (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))))) (/ 1 (- a))) into (* -1 (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))))))
0.693 * [approximate]: Taking taylor expansion of (* -1 (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))))) in (b_2 a c) around 0
0.693 * [taylor]: Taking taylor expansion of (* -1 (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))))) in c
0.693 * [taylor]: Taking taylor expansion of -1 in c
0.693 * [backup-simplify]: Simplify -1 into -1
0.693 * [taylor]: Taking taylor expansion of (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))))) in c
0.693 * [taylor]: Taking taylor expansion of a in c
0.693 * [backup-simplify]: Simplify a into a
0.693 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in c
0.693 * [taylor]: Taking taylor expansion of (/ 1 b_2) in c
0.693 * [taylor]: Taking taylor expansion of b_2 in c
0.693 * [backup-simplify]: Simplify b_2 into b_2
0.693 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.693 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
0.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
0.693 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
0.693 * [taylor]: Taking taylor expansion of b_2 in c
0.693 * [backup-simplify]: Simplify b_2 into b_2
0.693 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.694 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.694 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.694 * [taylor]: Taking taylor expansion of (* a c) in c
0.694 * [taylor]: Taking taylor expansion of a in c
0.694 * [backup-simplify]: Simplify a into a
0.694 * [taylor]: Taking taylor expansion of c in c
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 1 into 1
0.694 * [backup-simplify]: Simplify (* a 0) into 0
0.694 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.694 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.694 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
0.694 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
0.694 * [backup-simplify]: Simplify (sqrt 0) into 0
0.695 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
0.695 * [taylor]: Taking taylor expansion of (* -1 (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))))) in a
0.695 * [taylor]: Taking taylor expansion of -1 in a
0.695 * [backup-simplify]: Simplify -1 into -1
0.695 * [taylor]: Taking taylor expansion of (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))))) in a
0.695 * [taylor]: Taking taylor expansion of a in a
0.695 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify 1 into 1
0.695 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in a
0.695 * [taylor]: Taking taylor expansion of (/ 1 b_2) in a
0.695 * [taylor]: Taking taylor expansion of b_2 in a
0.695 * [backup-simplify]: Simplify b_2 into b_2
0.695 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
0.695 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
0.695 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
0.695 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
0.695 * [taylor]: Taking taylor expansion of b_2 in a
0.695 * [backup-simplify]: Simplify b_2 into b_2
0.695 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
0.695 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
0.695 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.695 * [taylor]: Taking taylor expansion of (* a c) in a
0.695 * [taylor]: Taking taylor expansion of a in a
0.695 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify 1 into 1
0.695 * [taylor]: Taking taylor expansion of c in a
0.695 * [backup-simplify]: Simplify c into c
0.695 * [backup-simplify]: Simplify (* 0 c) into 0
0.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.696 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.696 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
0.696 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
0.696 * [backup-simplify]: Simplify (sqrt 0) into 0
0.696 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
0.696 * [taylor]: Taking taylor expansion of (* -1 (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))))) in b_2
0.696 * [taylor]: Taking taylor expansion of -1 in b_2
0.696 * [backup-simplify]: Simplify -1 into -1
0.696 * [taylor]: Taking taylor expansion of (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))))) in b_2
0.696 * [taylor]: Taking taylor expansion of a in b_2
0.697 * [backup-simplify]: Simplify a into a
0.697 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in b_2
0.697 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.697 * [taylor]: Taking taylor expansion of b_2 in b_2
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify (/ 1 1) into 1
0.697 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.697 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.697 * [taylor]: Taking taylor expansion of b_2 in b_2
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify (* 1 1) into 1
0.697 * [backup-simplify]: Simplify (/ 1 1) into 1
0.697 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.697 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.697 * [taylor]: Taking taylor expansion of a in b_2
0.697 * [backup-simplify]: Simplify a into a
0.697 * [taylor]: Taking taylor expansion of c in b_2
0.697 * [backup-simplify]: Simplify c into c
0.698 * [backup-simplify]: Simplify (* a c) into (* a c)
0.698 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.698 * [backup-simplify]: Simplify (+ 1 0) into 1
0.698 * [backup-simplify]: Simplify (sqrt 1) into 1
0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.699 * [backup-simplify]: Simplify (+ 0 0) into 0
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.700 * [taylor]: Taking taylor expansion of (* -1 (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))))) in b_2
0.700 * [taylor]: Taking taylor expansion of -1 in b_2
0.700 * [backup-simplify]: Simplify -1 into -1
0.700 * [taylor]: Taking taylor expansion of (* a (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))))) in b_2
0.700 * [taylor]: Taking taylor expansion of a in b_2
0.700 * [backup-simplify]: Simplify a into a
0.700 * [taylor]: Taking taylor expansion of (- (/ 1 b_2) (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))) in b_2
0.700 * [taylor]: Taking taylor expansion of (/ 1 b_2) in b_2
0.700 * [taylor]: Taking taylor expansion of b_2 in b_2
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (/ 1 1) into 1
0.700 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
0.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
0.700 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
0.700 * [taylor]: Taking taylor expansion of b_2 in b_2
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (* 1 1) into 1
0.701 * [backup-simplify]: Simplify (/ 1 1) into 1
0.701 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
0.701 * [taylor]: Taking taylor expansion of (* a c) in b_2
0.701 * [taylor]: Taking taylor expansion of a in b_2
0.701 * [backup-simplify]: Simplify a into a
0.701 * [taylor]: Taking taylor expansion of c in b_2
0.701 * [backup-simplify]: Simplify c into c
0.701 * [backup-simplify]: Simplify (* a c) into (* a c)
0.701 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.701 * [backup-simplify]: Simplify (+ 1 0) into 1
0.701 * [backup-simplify]: Simplify (sqrt 1) into 1
0.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.703 * [backup-simplify]: Simplify (- 1) into -1
0.703 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.703 * [backup-simplify]: Simplify (* a 0) into 0
0.704 * [backup-simplify]: Simplify (* -1 0) into 0
0.704 * [taylor]: Taking taylor expansion of 0 in a
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.704 * [backup-simplify]: Simplify (- 0) into 0
0.705 * [backup-simplify]: Simplify (+ 0 0) into 0
0.705 * [backup-simplify]: Simplify (+ (* a 0) (* 0 0)) into 0
0.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0
0.705 * [taylor]: Taking taylor expansion of 0 in a
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [taylor]: Taking taylor expansion of 0 in c
0.705 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.707 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
0.707 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
0.708 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
0.708 * [backup-simplify]: Simplify (- (/ -1/2 (* a c))) into (* 1/2 (/ 1 (* a c)))
0.708 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (* a c)))) into (* 1/2 (/ 1 (* a c)))
0.708 * [backup-simplify]: Simplify (+ (* a (* 1/2 (/ 1 (* a c)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ 1 c))
0.709 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ 1 c))) (+ (* 0 0) (* 0 0))) into (- (* 1/2 (/ 1 c)))
0.709 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 c))) in a
0.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in a
0.709 * [taylor]: Taking taylor expansion of 1/2 in a
0.709 * [backup-simplify]: Simplify 1/2 into 1/2
0.709 * [taylor]: Taking taylor expansion of (/ 1 c) in a
0.709 * [taylor]: Taking taylor expansion of c in a
0.709 * [backup-simplify]: Simplify c into c
0.709 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.709 * [taylor]: Taking taylor expansion of 0 in c
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [taylor]: Taking taylor expansion of 0 in c
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.711 * [backup-simplify]: Simplify (- 0) into 0
0.712 * [backup-simplify]: Simplify (+ 0 0) into 0
0.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
0.713 * [backup-simplify]: Simplify (- 0) into 0
0.713 * [backup-simplify]: Simplify (+ 0 0) into 0
0.714 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (* 1/2 (/ 1 (* a c)))) (+ (* 0 0) (* 0 0)))) into 0
0.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 1/2 (/ 1 c))) (+ (* 0 0) (* 0 0)))) into 0
0.715 * [taylor]: Taking taylor expansion of 0 in a
0.715 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify (* 1/2 (/ 1 c)) into (/ 1/2 c)
0.715 * [backup-simplify]: Simplify (- (/ 1/2 c)) into (- (* 1/2 (/ 1 c)))
0.715 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 c))) in c
0.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 c)) in c
0.715 * [taylor]: Taking taylor expansion of 1/2 in c
0.715 * [backup-simplify]: Simplify 1/2 into 1/2
0.715 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.715 * [taylor]: Taking taylor expansion of c in c
0.715 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify 1 into 1
0.716 * [backup-simplify]: Simplify (/ 1 1) into 1
0.716 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.717 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.717 * [backup-simplify]: Simplify -1/2 into -1/2
0.717 * [taylor]: Taking taylor expansion of 0 in c
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [taylor]: Taking taylor expansion of 0 in c
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.722 * [backup-simplify]: Simplify (- 0) into 0
0.722 * [backup-simplify]: Simplify (+ 0 0) into 0
0.723 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
0.724 * [backup-simplify]: Simplify (- (/ -1/8 (* (pow a 2) (pow c 2)))) into (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))
0.724 * [backup-simplify]: Simplify (+ 0 (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) into (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))
0.725 * [backup-simplify]: Simplify (+ (* a (* 1/8 (/ 1 (* (pow a 2) (pow c 2))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (* a c)))) (+ (* 0 0) (* 0 0))))) into (* 1/8 (/ 1 (* a (pow c 2))))
0.727 * [backup-simplify]: Simplify (+ (* -1 (* 1/8 (/ 1 (* a (pow c 2))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 c))) (+ (* 0 0) (* 0 0))))) into (- (* 1/8 (/ 1 (* a (pow c 2)))))
0.727 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* a (pow c 2))))) in a
0.727 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* a (pow c 2)))) in a
0.727 * [taylor]: Taking taylor expansion of 1/8 in a
0.727 * [backup-simplify]: Simplify 1/8 into 1/8
0.727 * [taylor]: Taking taylor expansion of (/ 1 (* a (pow c 2))) in a
0.727 * [taylor]: Taking taylor expansion of (* a (pow c 2)) in a
0.727 * [taylor]: Taking taylor expansion of a in a
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.727 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.727 * [taylor]: Taking taylor expansion of c in a
0.727 * [backup-simplify]: Simplify c into c
0.727 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.727 * [backup-simplify]: Simplify (* 0 (pow c 2)) into 0
0.727 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow c 2))) into (pow c 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.728 * [backup-simplify]: Simplify (* 1/8 (/ 1 (pow c 2))) into (/ 1/8 (pow c 2))
0.728 * [backup-simplify]: Simplify (- (/ 1/8 (pow c 2))) into (- (* 1/8 (/ 1 (pow c 2))))
0.728 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow c 2)))) in c
0.728 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow c 2))) in c
0.729 * [taylor]: Taking taylor expansion of 1/8 in c
0.729 * [backup-simplify]: Simplify 1/8 into 1/8
0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.729 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.729 * [taylor]: Taking taylor expansion of c in c
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (* 1 1) into 1
0.729 * [backup-simplify]: Simplify (/ 1 1) into 1
0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
0.732 * [backup-simplify]: Simplify (- 0) into 0
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [taylor]: Taking taylor expansion of 0 in c
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 c))) into 0
0.733 * [backup-simplify]: Simplify (- 0) into 0
0.733 * [taylor]: Taking taylor expansion of 0 in c
0.733 * [backup-simplify]: Simplify 0 into 0
0.733 * [taylor]: Taking taylor expansion of 0 in c
0.733 * [backup-simplify]: Simplify 0 into 0
0.733 * [taylor]: Taking taylor expansion of 0 in c
0.733 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.735 * [backup-simplify]: Simplify (- 0) into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (- b_2))))) into (* -1/2 (/ c b_2))
0.736 * * * [progress]: simplifying candidates
0.743 * [simplify]: Simplifying:
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (fma b_2 b_2 (- (* c a)))
  (fma (- c) a (* c a))
  (expm1 (- (* b_2 b_2) (* a c)))
  (log1p (- (* b_2 b_2) (* a c)))
  (- (* 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))
  (fma (* (cbrt (- b_2)) (cbrt (- b_2))) (cbrt (- b_2)) (- (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (* (cbrt (- b_2)) (cbrt (- b_2))) (cbrt (- b_2)) (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
  (fma (* (cbrt (- b_2)) (cbrt (- b_2))) (cbrt (- b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (* (cbrt (- b_2)) (cbrt (- b_2))) (cbrt (- b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1))))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) (sqrt 1) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1)))
  (fma (* (cbrt (- b_2)) (cbrt (- b_2))) (cbrt (- b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (* (cbrt (- b_2)) (cbrt (- b_2))) (cbrt (- b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) 1 (* (sqrt (- (* b_2 b_2) (* a c))) 1))
  (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
  (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1))))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) (sqrt 1) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1)))
  (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) 1 (* (sqrt (- (* b_2 b_2) (* a c))) 1))
  (fma 1 (- b_2) (- (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma 1 (- b_2) (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
  (fma 1 (- b_2) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma 1 (- b_2) (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1))))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) (sqrt 1) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1)))
  (fma 1 (- b_2) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma 1 (- b_2) (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) 1 (* (sqrt (- (* b_2 b_2) (* a c))) 1))
  (fma -1 b_2 (- (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
  (fma -1 b_2 (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma -1 b_2 (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1))))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) (sqrt 1) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1)))
  (fma -1 b_2 (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma -1 b_2 (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) 1 (* (sqrt (- (* b_2 b_2) (* a c))) 1))
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  (fma (- 1) b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
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  (fma (- 1) b_2 (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
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  (fma (- 1) b_2 (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
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  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
  (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
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  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) 1 (* (sqrt (- (* b_2 b_2) (* a c))) 1))
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  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (sqrt b_2) (- (sqrt b_2)) (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
  (fma (sqrt b_2) (- (sqrt b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (sqrt b_2) (- (sqrt b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt 1))))
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  (fma (sqrt b_2) (- (sqrt b_2)) (- (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma (- (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (fma (sqrt b_2) (- (sqrt b_2)) (- (* (sqrt (- (* b_2 b_2) (* a c))) 1)))
  (fma (- (sqrt (- (* b_2 b_2) (* a c)))) 1 (* (sqrt (- (* b_2 b_2) (* a c))) 1))
  (fma 1 (- b_2) (- (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (cbrt (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)))) (* (cbrt (sqrt (- (* b_2 b_2) (* a c)))) (cbrt (sqrt (- (* b_2 b_2) (* a c)))))))
  (fma 1 (- b_2) (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c))))))))
  (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))
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  (/ a (sqrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
  (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (/ a (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (/ a (- (sqrt (- b_2)) (sqrt (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)
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
  (- (+ (* +nan.0 (pow b_2 2)) (- b_2 (* +nan.0 (* a c)))))
  (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
  (* -1/2 (/ (* a c) b_2))
  (- (+ (/ b_2 a) (- (+ (* +nan.0 (/ (pow b_2 2) a)) (- (* +nan.0 c))))))
  (- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
  (* -1/2 (/ c b_2))
0.748 * * [simplify]: iteration 0: 244 enodes
0.802 * * [simplify]: iteration 1: 573 enodes
0.966 * * [simplify]: iteration 2: 1505 enodes
2.106 * * [simplify]: iteration complete: 5000 enodes
2.107 * * [simplify]: Extracting #0: cost 102 inf + 0
2.109 * * [simplify]: Extracting #1: cost 600 inf + 3
2.114 * * [simplify]: Extracting #2: cost 1459 inf + 2338
2.140 * * [simplify]: Extracting #3: cost 1021 inf + 75932
2.235 * * [simplify]: Extracting #4: cost 236 inf + 276779
2.332 * * [simplify]: Extracting #5: cost 20 inf + 350416
2.445 * * [simplify]: Extracting #6: cost 2 inf + 357268
2.578 * * [simplify]: Extracting #7: cost 0 inf + 358356
2.710 * [simplify]: Simplified to:
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))) (- (* b_2 b_2) (* a c)))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 (* b_2 b_2)) (* b_2 (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* a c) (* b_2 b_2) (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (* a c)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma b_2 b_2 (* a c)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (- (* b_2 b_2) (* a c))
  (* a (+ (- c) c))
  (expm1 (- (* b_2 b_2) (* a c)))
  (log1p (- (* b_2 b_2) (* a c)))
  (* (- c) a)
  (exp (- (* b_2 b_2) (* 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)))
  (- (* (* b_2 (* b_2 b_2)) (* b_2 (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c)))
  (fma (* a c) (* b_2 b_2) (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (* a c))))
  (* (- c) a)
  (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c)))
  (fma b_2 b_2 (* a c))
  (* (- c) a)
  (- (* (cbrt (- b_2)) (* (cbrt (- b_2)) (cbrt (- b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (cbrt (- b_2)) (* (cbrt (- b_2)) (cbrt (- b_2)))) (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (* (cbrt (- b_2)) (* (cbrt (- b_2)) (cbrt (- b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (cbrt (- b_2)) (* (cbrt (- b_2)) (cbrt (- b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (cbrt (- b_2)) (* (cbrt (- b_2)) (cbrt (- b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (cbrt (- b_2)) (* (cbrt (- b_2)) (cbrt (- b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ (* (cbrt b_2) (* (cbrt b_2) (cbrt b_2))) (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ (* (cbrt b_2) (* (cbrt b_2) (cbrt b_2))) (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (* (- (cbrt b_2)) (* (cbrt b_2) (cbrt b_2))) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (+ b_2 (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (fabs (cbrt (- (* b_2 b_2) (* a c)))))))
  (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (+ (- (fabs (cbrt (- (* b_2 b_2) (* a c))))) (fabs (cbrt (- (* b_2 b_2) (* a c))))))
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
  0
  (expm1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (log1p (- (- b_2) (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 (- (* 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 (- (* b_2 b_2) (* a c))))
  (- (sqrt (- (* b_2 b_2) (* a c))))
  (- (sqrt (- (* b_2 b_2) (* a c))))
  (exp (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
  (exp (- (- b_2) (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)))))
  (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))))
  (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))
  (- (sqrt (- (* b_2 b_2) (* a c))))
  (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))
  (- (sqrt (- (* b_2 b_2) (* a c))) b_2)
  (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))
  (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))
  (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))
  (- (sqrt (- b_2)) (sqrt (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 b_2) (* a c))))
  (expm1 (- (/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)))
  (log1p (- (/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)))
  (log (- (/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) 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)))) a)) (- (/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a))) (- (/ (+ 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))))
  (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)
  (- (/ b_2 a))
  (/ (sqrt (- (* b_2 b_2) (* a c))) a)
  (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 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))))) (sqrt a))
  (* (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))))) 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)))))
  (/ (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
  (- (/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a))
  (/ (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (* (cbrt a) (cbrt a)))
  (/ (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (cbrt a))
  (/ (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (/ (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))
  (/ (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) a)
  (/ (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (* (cbrt a) (cbrt a)))
  (/ (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (cbrt a))
  (/ (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (/ (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (sqrt a))
  (+ (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))))
  (/ (- (sqrt (- b_2)) (sqrt (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
  (- (/ (+ 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
  (- (/ (+ 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))))
  (/ 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 (- (sqrt (- b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c))))))
  (/ a (- (sqrt (- b_2)) (sqrt (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)))))
  (* (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2)) a)
  (* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
  (* +nan.0 (fma b_2 (- b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ (* a 1/2) (/ b_2 c)) b_2)
  (- (* b_2 b_2) (* a c))
  (- (* b_2 b_2) (* a c))
  (- (* b_2 b_2) (* a c))
  (+ (- b_2) (* +nan.0 (fma b_2 (- b_2) (* a c))))
  (fma -2 b_2 (/ (* a 1/2) (/ b_2 c)))
  (/ (* a c) (/ b_2 -1/2))
  (+ (- (/ b_2 a)) (* +nan.0 (- (/ b_2 (/ a b_2)) c)))
  (fma (/ c b_2) 1/2 (/ (* -2 b_2) a))
  (/ (* c -1/2) b_2)
2.727 * * * [progress]: adding candidates to table
3.527 * * [progress]: iteration 2 / 4
3.527 * * * [progress]: picking best candidate
3.576 * * * * [pick]: Picked  #<alt (λ (a b_2 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))))) a)))>
3.576 * * * [progress]: localizing error
3.647 * * * [progress]: generating rewritten candidates
3.647 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2)
3.656 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2)
3.669 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
3.678 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1)
3.692 * * * [progress]: generating series expansions
3.692 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2)
3.692 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
3.693 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
3.693 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
3.693 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
3.693 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.693 * [taylor]: Taking taylor expansion of b_2 in c
3.693 * [backup-simplify]: Simplify b_2 into b_2
3.693 * [taylor]: Taking taylor expansion of (* a c) in c
3.693 * [taylor]: Taking taylor expansion of a in c
3.693 * [backup-simplify]: Simplify a into a
3.693 * [taylor]: Taking taylor expansion of c in c
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 1 into 1
3.693 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.693 * [backup-simplify]: Simplify (* a 0) into 0
3.694 * [backup-simplify]: Simplify (- 0) into 0
3.694 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
3.694 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
3.694 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
3.695 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.695 * [backup-simplify]: Simplify (- a) into (- a)
3.695 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
3.695 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
3.695 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
3.695 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
3.695 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.695 * [taylor]: Taking taylor expansion of b_2 in a
3.695 * [backup-simplify]: Simplify b_2 into b_2
3.695 * [taylor]: Taking taylor expansion of (* a c) in a
3.695 * [taylor]: Taking taylor expansion of a in a
3.695 * [backup-simplify]: Simplify 0 into 0
3.695 * [backup-simplify]: Simplify 1 into 1
3.695 * [taylor]: Taking taylor expansion of c in a
3.695 * [backup-simplify]: Simplify c into c
3.695 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.695 * [backup-simplify]: Simplify (* 0 c) into 0
3.696 * [backup-simplify]: Simplify (- 0) into 0
3.696 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
3.696 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
3.696 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
3.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.697 * [backup-simplify]: Simplify (- c) into (- c)
3.697 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
3.697 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
3.697 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
3.697 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.697 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.697 * [taylor]: Taking taylor expansion of b_2 in b_2
3.697 * [backup-simplify]: Simplify 0 into 0
3.697 * [backup-simplify]: Simplify 1 into 1
3.697 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.697 * [taylor]: Taking taylor expansion of a in b_2
3.697 * [backup-simplify]: Simplify a into a
3.697 * [taylor]: Taking taylor expansion of c in b_2
3.697 * [backup-simplify]: Simplify c into c
3.697 * [backup-simplify]: Simplify (* a c) into (* a c)
3.697 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.697 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.697 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
3.698 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.698 * [backup-simplify]: Simplify (- 0) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
3.698 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
3.698 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.699 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.699 * [taylor]: Taking taylor expansion of b_2 in b_2
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.699 * [taylor]: Taking taylor expansion of a in b_2
3.699 * [backup-simplify]: Simplify a into a
3.699 * [taylor]: Taking taylor expansion of c in b_2
3.699 * [backup-simplify]: Simplify c into c
3.699 * [backup-simplify]: Simplify (* a c) into (* a c)
3.699 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.699 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.699 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
3.699 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.700 * [backup-simplify]: Simplify (- 0) into 0
3.700 * [backup-simplify]: Simplify (+ 0 0) into 0
3.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
3.700 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
3.700 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.700 * [taylor]: Taking taylor expansion of (* a c) in a
3.700 * [taylor]: Taking taylor expansion of a in a
3.700 * [backup-simplify]: Simplify 0 into 0
3.700 * [backup-simplify]: Simplify 1 into 1
3.700 * [taylor]: Taking taylor expansion of c in a
3.700 * [backup-simplify]: Simplify c into c
3.700 * [backup-simplify]: Simplify (* 0 c) into 0
3.701 * [backup-simplify]: Simplify (- 0) into 0
3.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.701 * [backup-simplify]: Simplify (- c) into (- c)
3.702 * [backup-simplify]: Simplify (sqrt 0) into 0
3.702 * [backup-simplify]: Simplify (- c) into (- c)
3.702 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
3.702 * [taylor]: Taking taylor expansion of 0 in c
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [taylor]: Taking taylor expansion of 0 in a
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [taylor]: Taking taylor expansion of 0 in c
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
3.703 * [taylor]: Taking taylor expansion of +nan.0 in c
3.703 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.703 * [taylor]: Taking taylor expansion of c in c
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 1 into 1
3.703 * [backup-simplify]: Simplify (* +nan.0 0) into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify (* 1 1) into 1
3.704 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.704 * [backup-simplify]: Simplify (- 0) into 0
3.705 * [backup-simplify]: Simplify (+ 1 0) into 1
3.706 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
3.706 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
3.706 * [taylor]: Taking taylor expansion of 1/2 in a
3.706 * [backup-simplify]: Simplify 1/2 into 1/2
3.706 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
3.706 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.706 * [taylor]: Taking taylor expansion of (* a c) in a
3.706 * [taylor]: Taking taylor expansion of a in a
3.706 * [backup-simplify]: Simplify 0 into 0
3.706 * [backup-simplify]: Simplify 1 into 1
3.706 * [taylor]: Taking taylor expansion of c in a
3.706 * [backup-simplify]: Simplify c into c
3.706 * [backup-simplify]: Simplify (* 0 c) into 0
3.707 * [backup-simplify]: Simplify (- 0) into 0
3.707 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.707 * [backup-simplify]: Simplify (- c) into (- c)
3.707 * [backup-simplify]: Simplify (sqrt 0) into 0
3.708 * [backup-simplify]: Simplify (- c) into (- c)
3.708 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
3.708 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
3.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.709 * [backup-simplify]: Simplify (- 0) into 0
3.710 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
3.711 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
3.711 * [taylor]: Taking taylor expansion of (- +nan.0) in c
3.711 * [taylor]: Taking taylor expansion of +nan.0 in c
3.711 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.711 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.712 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.712 * [taylor]: Taking taylor expansion of 0 in c
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.713 * [backup-simplify]: Simplify (- 0) into 0
3.714 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
3.714 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
3.714 * [taylor]: Taking taylor expansion of +nan.0 in c
3.714 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.714 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.714 * [taylor]: Taking taylor expansion of c in c
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify 1 into 1
3.714 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
3.716 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.716 * [backup-simplify]: Simplify 0 into 0
3.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.717 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.718 * [backup-simplify]: Simplify (- 0) into 0
3.718 * [backup-simplify]: Simplify (+ 0 0) into 0
3.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
3.719 * [taylor]: Taking taylor expansion of 0 in a
3.719 * [backup-simplify]: Simplify 0 into 0
3.719 * [taylor]: Taking taylor expansion of 0 in c
3.719 * [backup-simplify]: Simplify 0 into 0
3.719 * [backup-simplify]: Simplify 0 into 0
3.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.720 * [backup-simplify]: Simplify (- 0) into 0
3.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
3.722 * [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))
3.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
3.722 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
3.722 * [taylor]: Taking taylor expansion of +nan.0 in c
3.722 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.722 * [taylor]: Taking taylor expansion of c in c
3.722 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify 1 into 1
3.723 * [backup-simplify]: Simplify (* +nan.0 0) into 0
3.723 * [backup-simplify]: Simplify (- 0) into 0
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in c
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.725 * [backup-simplify]: Simplify (- 0) into 0
3.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
3.726 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
3.726 * [taylor]: Taking taylor expansion of +nan.0 in c
3.726 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.726 * [taylor]: Taking taylor expansion of (pow c 3) in c
3.726 * [taylor]: Taking taylor expansion of c in c
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 1 into 1
3.726 * [backup-simplify]: Simplify (- 0) into 0
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 0 into 0
3.728 * [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)))))
3.728 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
3.728 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
3.728 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
3.728 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
3.728 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
3.728 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.728 * [taylor]: Taking taylor expansion of b_2 in c
3.728 * [backup-simplify]: Simplify b_2 into b_2
3.728 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.728 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.728 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.728 * [taylor]: Taking taylor expansion of (* a c) in c
3.728 * [taylor]: Taking taylor expansion of a in c
3.728 * [backup-simplify]: Simplify a into a
3.728 * [taylor]: Taking taylor expansion of c in c
3.729 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify 1 into 1
3.729 * [backup-simplify]: Simplify (* a 0) into 0
3.729 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.729 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.729 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
3.729 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
3.730 * [backup-simplify]: Simplify (sqrt 0) into 0
3.730 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
3.730 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
3.730 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
3.730 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.731 * [taylor]: Taking taylor expansion of b_2 in a
3.731 * [backup-simplify]: Simplify b_2 into b_2
3.731 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.731 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.731 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.731 * [taylor]: Taking taylor expansion of (* a c) in a
3.731 * [taylor]: Taking taylor expansion of a in a
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify 1 into 1
3.731 * [taylor]: Taking taylor expansion of c in a
3.731 * [backup-simplify]: Simplify c into c
3.731 * [backup-simplify]: Simplify (* 0 c) into 0
3.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.732 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.732 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
3.732 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
3.732 * [backup-simplify]: Simplify (sqrt 0) into 0
3.733 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
3.733 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.733 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.733 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.733 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.733 * [taylor]: Taking taylor expansion of b_2 in b_2
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 1 into 1
3.733 * [backup-simplify]: Simplify (* 1 1) into 1
3.734 * [backup-simplify]: Simplify (/ 1 1) into 1
3.734 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.734 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.734 * [taylor]: Taking taylor expansion of a in b_2
3.734 * [backup-simplify]: Simplify a into a
3.734 * [taylor]: Taking taylor expansion of c in b_2
3.734 * [backup-simplify]: Simplify c into c
3.734 * [backup-simplify]: Simplify (* a c) into (* a c)
3.734 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.734 * [backup-simplify]: Simplify (+ 1 0) into 1
3.735 * [backup-simplify]: Simplify (sqrt 1) into 1
3.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (+ 0 0) into 0
3.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.738 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.738 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.738 * [taylor]: Taking taylor expansion of b_2 in b_2
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 1 into 1
3.738 * [backup-simplify]: Simplify (* 1 1) into 1
3.739 * [backup-simplify]: Simplify (/ 1 1) into 1
3.739 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.739 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.739 * [taylor]: Taking taylor expansion of a in b_2
3.739 * [backup-simplify]: Simplify a into a
3.739 * [taylor]: Taking taylor expansion of c in b_2
3.739 * [backup-simplify]: Simplify c into c
3.739 * [backup-simplify]: Simplify (* a c) into (* a c)
3.739 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.739 * [backup-simplify]: Simplify (+ 1 0) into 1
3.740 * [backup-simplify]: Simplify (sqrt 1) into 1
3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.742 * [backup-simplify]: Simplify (+ 0 0) into 0
3.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.743 * [taylor]: Taking taylor expansion of 1 in a
3.743 * [backup-simplify]: Simplify 1 into 1
3.743 * [taylor]: Taking taylor expansion of 0 in a
3.743 * [backup-simplify]: Simplify 0 into 0
3.743 * [taylor]: Taking taylor expansion of 1 in c
3.743 * [backup-simplify]: Simplify 1 into 1
3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
3.745 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
3.747 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
3.747 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
3.747 * [taylor]: Taking taylor expansion of -1/2 in a
3.747 * [backup-simplify]: Simplify -1/2 into -1/2
3.747 * [taylor]: Taking taylor expansion of (* a c) in a
3.747 * [taylor]: Taking taylor expansion of a in a
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify 1 into 1
3.747 * [taylor]: Taking taylor expansion of c in a
3.747 * [backup-simplify]: Simplify c into c
3.747 * [backup-simplify]: Simplify (* 0 c) into 0
3.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.748 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
3.748 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
3.748 * [taylor]: Taking taylor expansion of -1/2 in c
3.748 * [backup-simplify]: Simplify -1/2 into -1/2
3.748 * [taylor]: Taking taylor expansion of c in c
3.748 * [backup-simplify]: Simplify 0 into 0
3.748 * [backup-simplify]: Simplify 1 into 1
3.748 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.748 * [backup-simplify]: Simplify -1/2 into -1/2
3.748 * [taylor]: Taking taylor expansion of 0 in c
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [taylor]: Taking taylor expansion of 0 in c
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.751 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
3.752 * [backup-simplify]: Simplify (- 0) into 0
3.752 * [backup-simplify]: Simplify (+ 0 0) into 0
3.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
3.753 * [taylor]: Taking taylor expansion of 0 in a
3.753 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.754 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
3.754 * [taylor]: Taking taylor expansion of 0 in c
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [taylor]: Taking taylor expansion of 0 in c
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [taylor]: Taking taylor expansion of 0 in c
3.754 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
3.759 * [backup-simplify]: Simplify (- 0) into 0
3.759 * [backup-simplify]: Simplify (+ 0 0) into 0
3.761 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
3.761 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
3.761 * [taylor]: Taking taylor expansion of -1/8 in a
3.761 * [backup-simplify]: Simplify -1/8 into -1/8
3.761 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
3.761 * [taylor]: Taking taylor expansion of (pow a 2) in a
3.761 * [taylor]: Taking taylor expansion of a in a
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 1 into 1
3.761 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.761 * [taylor]: Taking taylor expansion of c in a
3.761 * [backup-simplify]: Simplify c into c
3.761 * [backup-simplify]: Simplify (* 1 1) into 1
3.761 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.762 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
3.762 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
3.762 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
3.764 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.764 * [taylor]: Taking taylor expansion of 0 in c
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [taylor]: Taking taylor expansion of 0 in c
3.764 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.765 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.765 * [taylor]: Taking taylor expansion of 0 in c
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [taylor]: Taking taylor expansion of 0 in c
3.765 * [backup-simplify]: Simplify 0 into 0
3.766 * [taylor]: Taking taylor expansion of 0 in c
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [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)))
3.767 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
3.767 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
3.767 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
3.767 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
3.767 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.767 * [taylor]: Taking taylor expansion of b_2 in c
3.767 * [backup-simplify]: Simplify b_2 into b_2
3.767 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.767 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.767 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.767 * [taylor]: Taking taylor expansion of (* a c) in c
3.767 * [taylor]: Taking taylor expansion of a in c
3.768 * [backup-simplify]: Simplify a into a
3.768 * [taylor]: Taking taylor expansion of c in c
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (* a 0) into 0
3.769 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.769 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.769 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
3.769 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
3.770 * [backup-simplify]: Simplify (sqrt 0) into 0
3.771 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
3.771 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
3.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
3.771 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.771 * [taylor]: Taking taylor expansion of b_2 in a
3.771 * [backup-simplify]: Simplify b_2 into b_2
3.772 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.772 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.772 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.772 * [taylor]: Taking taylor expansion of (* a c) in a
3.772 * [taylor]: Taking taylor expansion of a in a
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 1 into 1
3.772 * [taylor]: Taking taylor expansion of c in a
3.772 * [backup-simplify]: Simplify c into c
3.772 * [backup-simplify]: Simplify (* 0 c) into 0
3.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.773 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.773 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
3.773 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
3.774 * [backup-simplify]: Simplify (sqrt 0) into 0
3.774 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
3.775 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.775 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.775 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.775 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.775 * [taylor]: Taking taylor expansion of b_2 in b_2
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 1 into 1
3.775 * [backup-simplify]: Simplify (* 1 1) into 1
3.776 * [backup-simplify]: Simplify (/ 1 1) into 1
3.776 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.776 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.776 * [taylor]: Taking taylor expansion of a in b_2
3.776 * [backup-simplify]: Simplify a into a
3.776 * [taylor]: Taking taylor expansion of c in b_2
3.776 * [backup-simplify]: Simplify c into c
3.776 * [backup-simplify]: Simplify (* a c) into (* a c)
3.776 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.777 * [backup-simplify]: Simplify (+ 1 0) into 1
3.777 * [backup-simplify]: Simplify (sqrt 1) into 1
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.780 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.780 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.780 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.780 * [taylor]: Taking taylor expansion of b_2 in b_2
3.780 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify 1 into 1
3.780 * [backup-simplify]: Simplify (* 1 1) into 1
3.781 * [backup-simplify]: Simplify (/ 1 1) into 1
3.781 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.781 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.781 * [taylor]: Taking taylor expansion of a in b_2
3.781 * [backup-simplify]: Simplify a into a
3.781 * [taylor]: Taking taylor expansion of c in b_2
3.781 * [backup-simplify]: Simplify c into c
3.781 * [backup-simplify]: Simplify (* a c) into (* a c)
3.781 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.782 * [backup-simplify]: Simplify (+ 1 0) into 1
3.782 * [backup-simplify]: Simplify (sqrt 1) into 1
3.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.785 * [taylor]: Taking taylor expansion of 1 in a
3.785 * [backup-simplify]: Simplify 1 into 1
3.785 * [taylor]: Taking taylor expansion of 0 in a
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [taylor]: Taking taylor expansion of 1 in c
3.785 * [backup-simplify]: Simplify 1 into 1
3.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.787 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
3.787 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
3.788 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
3.788 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
3.788 * [taylor]: Taking taylor expansion of -1/2 in a
3.788 * [backup-simplify]: Simplify -1/2 into -1/2
3.788 * [taylor]: Taking taylor expansion of (* a c) in a
3.788 * [taylor]: Taking taylor expansion of a in a
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 1 into 1
3.788 * [taylor]: Taking taylor expansion of c in a
3.788 * [backup-simplify]: Simplify c into c
3.788 * [backup-simplify]: Simplify (* 0 c) into 0
3.788 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.788 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
3.788 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
3.788 * [taylor]: Taking taylor expansion of -1/2 in c
3.788 * [backup-simplify]: Simplify -1/2 into -1/2
3.788 * [taylor]: Taking taylor expansion of c in c
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 1 into 1
3.789 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.789 * [backup-simplify]: Simplify -1/2 into -1/2
3.789 * [taylor]: Taking taylor expansion of 0 in c
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [taylor]: Taking taylor expansion of 0 in c
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 1 into 1
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
3.790 * [backup-simplify]: Simplify (- 0) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
3.791 * [taylor]: Taking taylor expansion of 0 in a
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.791 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
3.791 * [taylor]: Taking taylor expansion of 0 in c
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [taylor]: Taking taylor expansion of 0 in c
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [taylor]: Taking taylor expansion of 0 in c
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
3.794 * [backup-simplify]: Simplify (- 0) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.798 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
3.798 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
3.798 * [taylor]: Taking taylor expansion of -1/8 in a
3.798 * [backup-simplify]: Simplify -1/8 into -1/8
3.798 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
3.798 * [taylor]: Taking taylor expansion of (pow a 2) in a
3.798 * [taylor]: Taking taylor expansion of a in a
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.798 * [taylor]: Taking taylor expansion of c in a
3.798 * [backup-simplify]: Simplify c into c
3.799 * [backup-simplify]: Simplify (* 1 1) into 1
3.799 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.799 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
3.799 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
3.799 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
3.800 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.800 * [taylor]: Taking taylor expansion of 0 in c
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [taylor]: Taking taylor expansion of 0 in c
3.800 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.801 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.801 * [taylor]: Taking taylor expansion of 0 in c
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [taylor]: Taking taylor expansion of 0 in c
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [taylor]: Taking taylor expansion of 0 in c
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [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)
3.801 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2)
3.802 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
3.802 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
3.802 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
3.802 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
3.802 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.802 * [taylor]: Taking taylor expansion of b_2 in c
3.802 * [backup-simplify]: Simplify b_2 into b_2
3.802 * [taylor]: Taking taylor expansion of (* a c) in c
3.802 * [taylor]: Taking taylor expansion of a in c
3.802 * [backup-simplify]: Simplify a into a
3.802 * [taylor]: Taking taylor expansion of c in c
3.802 * [backup-simplify]: Simplify 0 into 0
3.802 * [backup-simplify]: Simplify 1 into 1
3.802 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.802 * [backup-simplify]: Simplify (* a 0) into 0
3.802 * [backup-simplify]: Simplify (- 0) into 0
3.802 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
3.802 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
3.802 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
3.803 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.803 * [backup-simplify]: Simplify (- a) into (- a)
3.803 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
3.803 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
3.803 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
3.803 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
3.803 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.803 * [taylor]: Taking taylor expansion of b_2 in a
3.803 * [backup-simplify]: Simplify b_2 into b_2
3.803 * [taylor]: Taking taylor expansion of (* a c) in a
3.803 * [taylor]: Taking taylor expansion of a in a
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 1 into 1
3.803 * [taylor]: Taking taylor expansion of c in a
3.803 * [backup-simplify]: Simplify c into c
3.803 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.803 * [backup-simplify]: Simplify (* 0 c) into 0
3.803 * [backup-simplify]: Simplify (- 0) into 0
3.803 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
3.803 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
3.804 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
3.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.804 * [backup-simplify]: Simplify (- c) into (- c)
3.804 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
3.804 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
3.804 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
3.804 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.804 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.804 * [taylor]: Taking taylor expansion of b_2 in b_2
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.804 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.804 * [taylor]: Taking taylor expansion of a in b_2
3.804 * [backup-simplify]: Simplify a into a
3.804 * [taylor]: Taking taylor expansion of c in b_2
3.804 * [backup-simplify]: Simplify c into c
3.804 * [backup-simplify]: Simplify (* a c) into (* a c)
3.804 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.804 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.804 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
3.804 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.805 * [backup-simplify]: Simplify (- 0) into 0
3.805 * [backup-simplify]: Simplify (+ 0 0) into 0
3.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
3.805 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
3.805 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.805 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.805 * [taylor]: Taking taylor expansion of b_2 in b_2
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 1 into 1
3.805 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.805 * [taylor]: Taking taylor expansion of a in b_2
3.805 * [backup-simplify]: Simplify a into a
3.805 * [taylor]: Taking taylor expansion of c in b_2
3.805 * [backup-simplify]: Simplify c into c
3.805 * [backup-simplify]: Simplify (* a c) into (* a c)
3.805 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.805 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.805 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
3.805 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.806 * [backup-simplify]: Simplify (- 0) into 0
3.806 * [backup-simplify]: Simplify (+ 0 0) into 0
3.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
3.806 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
3.806 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.806 * [taylor]: Taking taylor expansion of (* a c) in a
3.806 * [taylor]: Taking taylor expansion of a in a
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.806 * [taylor]: Taking taylor expansion of c in a
3.806 * [backup-simplify]: Simplify c into c
3.806 * [backup-simplify]: Simplify (* 0 c) into 0
3.806 * [backup-simplify]: Simplify (- 0) into 0
3.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.807 * [backup-simplify]: Simplify (- c) into (- c)
3.807 * [backup-simplify]: Simplify (sqrt 0) into 0
3.807 * [backup-simplify]: Simplify (- c) into (- c)
3.807 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
3.807 * [taylor]: Taking taylor expansion of 0 in c
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [taylor]: Taking taylor expansion of 0 in a
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [taylor]: Taking taylor expansion of 0 in c
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.808 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
3.808 * [taylor]: Taking taylor expansion of +nan.0 in c
3.808 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.808 * [taylor]: Taking taylor expansion of c in c
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (* +nan.0 0) into 0
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.809 * [backup-simplify]: Simplify (- 0) into 0
3.809 * [backup-simplify]: Simplify (+ 1 0) into 1
3.809 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
3.809 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
3.809 * [taylor]: Taking taylor expansion of 1/2 in a
3.809 * [backup-simplify]: Simplify 1/2 into 1/2
3.809 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
3.810 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.810 * [taylor]: Taking taylor expansion of (* a c) in a
3.810 * [taylor]: Taking taylor expansion of a in a
3.810 * [backup-simplify]: Simplify 0 into 0
3.810 * [backup-simplify]: Simplify 1 into 1
3.810 * [taylor]: Taking taylor expansion of c in a
3.810 * [backup-simplify]: Simplify c into c
3.810 * [backup-simplify]: Simplify (* 0 c) into 0
3.810 * [backup-simplify]: Simplify (- 0) into 0
3.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.810 * [backup-simplify]: Simplify (- c) into (- c)
3.810 * [backup-simplify]: Simplify (sqrt 0) into 0
3.810 * [backup-simplify]: Simplify (- c) into (- c)
3.811 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
3.811 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
3.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.812 * [backup-simplify]: Simplify (- 0) into 0
3.812 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
3.812 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
3.812 * [taylor]: Taking taylor expansion of (- +nan.0) in c
3.812 * [taylor]: Taking taylor expansion of +nan.0 in c
3.812 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.813 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.813 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.813 * [taylor]: Taking taylor expansion of 0 in c
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.814 * [backup-simplify]: Simplify (- 0) into 0
3.814 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
3.814 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
3.814 * [taylor]: Taking taylor expansion of +nan.0 in c
3.814 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.814 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.814 * [taylor]: Taking taylor expansion of c in c
3.814 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.815 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
3.816 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.818 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.819 * [backup-simplify]: Simplify (- 0) into 0
3.819 * [backup-simplify]: Simplify (+ 0 0) into 0
3.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
3.819 * [taylor]: Taking taylor expansion of 0 in a
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [taylor]: Taking taylor expansion of 0 in c
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.821 * [backup-simplify]: Simplify (- 0) into 0
3.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
3.823 * [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))
3.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
3.823 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
3.823 * [taylor]: Taking taylor expansion of +nan.0 in c
3.823 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.823 * [taylor]: Taking taylor expansion of c in c
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (* +nan.0 0) into 0
3.824 * [backup-simplify]: Simplify (- 0) into 0
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [taylor]: Taking taylor expansion of 0 in c
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.825 * [backup-simplify]: Simplify (- 0) into 0
3.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
3.827 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
3.827 * [taylor]: Taking taylor expansion of +nan.0 in c
3.827 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.827 * [taylor]: Taking taylor expansion of (pow c 3) in c
3.827 * [taylor]: Taking taylor expansion of c in c
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (- 0) into 0
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 0 into 0
3.828 * [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)))))
3.829 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
3.829 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
3.829 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
3.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
3.829 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
3.829 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.829 * [taylor]: Taking taylor expansion of b_2 in c
3.829 * [backup-simplify]: Simplify b_2 into b_2
3.829 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.829 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.829 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.829 * [taylor]: Taking taylor expansion of (* a c) in c
3.829 * [taylor]: Taking taylor expansion of a in c
3.829 * [backup-simplify]: Simplify a into a
3.829 * [taylor]: Taking taylor expansion of c in c
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 1 into 1
3.829 * [backup-simplify]: Simplify (* a 0) into 0
3.830 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.830 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.830 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
3.830 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
3.831 * [backup-simplify]: Simplify (sqrt 0) into 0
3.831 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
3.831 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
3.831 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
3.831 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.831 * [taylor]: Taking taylor expansion of b_2 in a
3.831 * [backup-simplify]: Simplify b_2 into b_2
3.831 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.832 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.832 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.832 * [taylor]: Taking taylor expansion of (* a c) in a
3.832 * [taylor]: Taking taylor expansion of a in a
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [taylor]: Taking taylor expansion of c in a
3.832 * [backup-simplify]: Simplify c into c
3.832 * [backup-simplify]: Simplify (* 0 c) into 0
3.832 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.832 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.833 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
3.833 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
3.833 * [backup-simplify]: Simplify (sqrt 0) into 0
3.834 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
3.834 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.834 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.834 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.834 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.834 * [taylor]: Taking taylor expansion of b_2 in b_2
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.834 * [backup-simplify]: Simplify (* 1 1) into 1
3.835 * [backup-simplify]: Simplify (/ 1 1) into 1
3.835 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.835 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.835 * [taylor]: Taking taylor expansion of a in b_2
3.835 * [backup-simplify]: Simplify a into a
3.835 * [taylor]: Taking taylor expansion of c in b_2
3.835 * [backup-simplify]: Simplify c into c
3.835 * [backup-simplify]: Simplify (* a c) into (* a c)
3.835 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.836 * [backup-simplify]: Simplify (+ 1 0) into 1
3.836 * [backup-simplify]: Simplify (sqrt 1) into 1
3.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ 0 0) into 0
3.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.839 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.839 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.839 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.839 * [taylor]: Taking taylor expansion of b_2 in b_2
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 1 into 1
3.839 * [backup-simplify]: Simplify (* 1 1) into 1
3.839 * [backup-simplify]: Simplify (/ 1 1) into 1
3.839 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.839 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.840 * [taylor]: Taking taylor expansion of a in b_2
3.840 * [backup-simplify]: Simplify a into a
3.840 * [taylor]: Taking taylor expansion of c in b_2
3.840 * [backup-simplify]: Simplify c into c
3.840 * [backup-simplify]: Simplify (* a c) into (* a c)
3.840 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.840 * [backup-simplify]: Simplify (+ 1 0) into 1
3.841 * [backup-simplify]: Simplify (sqrt 1) into 1
3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ 0 0) into 0
3.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.843 * [taylor]: Taking taylor expansion of 1 in a
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [taylor]: Taking taylor expansion of 0 in a
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [taylor]: Taking taylor expansion of 1 in c
3.843 * [backup-simplify]: Simplify 1 into 1
3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.845 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
3.845 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
3.847 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
3.847 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
3.847 * [taylor]: Taking taylor expansion of -1/2 in a
3.847 * [backup-simplify]: Simplify -1/2 into -1/2
3.847 * [taylor]: Taking taylor expansion of (* a c) in a
3.847 * [taylor]: Taking taylor expansion of a in a
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 1 into 1
3.847 * [taylor]: Taking taylor expansion of c in a
3.847 * [backup-simplify]: Simplify c into c
3.847 * [backup-simplify]: Simplify (* 0 c) into 0
3.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.847 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
3.847 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
3.847 * [taylor]: Taking taylor expansion of -1/2 in c
3.847 * [backup-simplify]: Simplify -1/2 into -1/2
3.847 * [taylor]: Taking taylor expansion of c in c
3.847 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.848 * [backup-simplify]: Simplify -1/2 into -1/2
3.848 * [taylor]: Taking taylor expansion of 0 in c
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [taylor]: Taking taylor expansion of 0 in c
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify 1 into 1
3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
3.851 * [backup-simplify]: Simplify (- 0) into 0
3.851 * [backup-simplify]: Simplify (+ 0 0) into 0
3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
3.852 * [taylor]: Taking taylor expansion of 0 in a
3.852 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.853 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
3.853 * [taylor]: Taking taylor expansion of 0 in c
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [taylor]: Taking taylor expansion of 0 in c
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [taylor]: Taking taylor expansion of 0 in c
3.853 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.857 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
3.857 * [backup-simplify]: Simplify (- 0) into 0
3.858 * [backup-simplify]: Simplify (+ 0 0) into 0
3.859 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
3.859 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
3.859 * [taylor]: Taking taylor expansion of -1/8 in a
3.859 * [backup-simplify]: Simplify -1/8 into -1/8
3.859 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
3.859 * [taylor]: Taking taylor expansion of (pow a 2) in a
3.859 * [taylor]: Taking taylor expansion of a in a
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify 1 into 1
3.859 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.859 * [taylor]: Taking taylor expansion of c in a
3.859 * [backup-simplify]: Simplify c into c
3.860 * [backup-simplify]: Simplify (* 1 1) into 1
3.860 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.860 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
3.860 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
3.860 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
3.862 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.862 * [taylor]: Taking taylor expansion of 0 in c
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [taylor]: Taking taylor expansion of 0 in c
3.862 * [backup-simplify]: Simplify 0 into 0
3.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.863 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.863 * [taylor]: Taking taylor expansion of 0 in c
3.863 * [backup-simplify]: Simplify 0 into 0
3.863 * [taylor]: Taking taylor expansion of 0 in c
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [taylor]: Taking taylor expansion of 0 in c
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [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)))
3.864 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
3.864 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
3.865 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
3.865 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
3.865 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.865 * [taylor]: Taking taylor expansion of b_2 in c
3.865 * [backup-simplify]: Simplify b_2 into b_2
3.865 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.865 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.865 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.865 * [taylor]: Taking taylor expansion of (* a c) in c
3.865 * [taylor]: Taking taylor expansion of a in c
3.865 * [backup-simplify]: Simplify a into a
3.865 * [taylor]: Taking taylor expansion of c in c
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 1 into 1
3.865 * [backup-simplify]: Simplify (* a 0) into 0
3.866 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.866 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.866 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
3.866 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
3.866 * [backup-simplify]: Simplify (sqrt 0) into 0
3.867 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
3.867 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
3.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
3.867 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.867 * [taylor]: Taking taylor expansion of b_2 in a
3.867 * [backup-simplify]: Simplify b_2 into b_2
3.867 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.867 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.867 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.867 * [taylor]: Taking taylor expansion of (* a c) in a
3.867 * [taylor]: Taking taylor expansion of a in a
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.867 * [taylor]: Taking taylor expansion of c in a
3.867 * [backup-simplify]: Simplify c into c
3.867 * [backup-simplify]: Simplify (* 0 c) into 0
3.868 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.868 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.868 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
3.868 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
3.869 * [backup-simplify]: Simplify (sqrt 0) into 0
3.869 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
3.869 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.869 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.869 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.869 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.869 * [taylor]: Taking taylor expansion of b_2 in b_2
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.870 * [backup-simplify]: Simplify (* 1 1) into 1
3.870 * [backup-simplify]: Simplify (/ 1 1) into 1
3.870 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.870 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.870 * [taylor]: Taking taylor expansion of a in b_2
3.870 * [backup-simplify]: Simplify a into a
3.870 * [taylor]: Taking taylor expansion of c in b_2
3.870 * [backup-simplify]: Simplify c into c
3.870 * [backup-simplify]: Simplify (* a c) into (* a c)
3.870 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.871 * [backup-simplify]: Simplify (+ 1 0) into 1
3.871 * [backup-simplify]: Simplify (sqrt 1) into 1
3.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.874 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.874 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.874 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.874 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.874 * [taylor]: Taking taylor expansion of b_2 in b_2
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 1 into 1
3.874 * [backup-simplify]: Simplify (* 1 1) into 1
3.875 * [backup-simplify]: Simplify (/ 1 1) into 1
3.875 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.875 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.875 * [taylor]: Taking taylor expansion of a in b_2
3.875 * [backup-simplify]: Simplify a into a
3.875 * [taylor]: Taking taylor expansion of c in b_2
3.875 * [backup-simplify]: Simplify c into c
3.875 * [backup-simplify]: Simplify (* a c) into (* a c)
3.875 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.875 * [backup-simplify]: Simplify (+ 1 0) into 1
3.876 * [backup-simplify]: Simplify (sqrt 1) into 1
3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.878 * [backup-simplify]: Simplify (+ 0 0) into 0
3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.878 * [taylor]: Taking taylor expansion of 1 in a
3.879 * [backup-simplify]: Simplify 1 into 1
3.879 * [taylor]: Taking taylor expansion of 0 in a
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [taylor]: Taking taylor expansion of 1 in c
3.879 * [backup-simplify]: Simplify 1 into 1
3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.881 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
3.881 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
3.882 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
3.882 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
3.882 * [taylor]: Taking taylor expansion of -1/2 in a
3.882 * [backup-simplify]: Simplify -1/2 into -1/2
3.882 * [taylor]: Taking taylor expansion of (* a c) in a
3.882 * [taylor]: Taking taylor expansion of a in a
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify 1 into 1
3.882 * [taylor]: Taking taylor expansion of c in a
3.882 * [backup-simplify]: Simplify c into c
3.882 * [backup-simplify]: Simplify (* 0 c) into 0
3.883 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.883 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
3.883 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
3.883 * [taylor]: Taking taylor expansion of -1/2 in c
3.883 * [backup-simplify]: Simplify -1/2 into -1/2
3.883 * [taylor]: Taking taylor expansion of c in c
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 1 into 1
3.883 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.883 * [backup-simplify]: Simplify -1/2 into -1/2
3.883 * [taylor]: Taking taylor expansion of 0 in c
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [taylor]: Taking taylor expansion of 0 in c
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 1 into 1
3.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.886 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
3.886 * [backup-simplify]: Simplify (- 0) into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
3.887 * [taylor]: Taking taylor expansion of 0 in a
3.887 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.888 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
3.888 * [taylor]: Taking taylor expansion of 0 in c
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [taylor]: Taking taylor expansion of 0 in c
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [taylor]: Taking taylor expansion of 0 in c
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
3.889 * [backup-simplify]: Simplify 0 into 0
3.890 * [backup-simplify]: Simplify 0 into 0
3.890 * [backup-simplify]: Simplify 0 into 0
3.890 * [backup-simplify]: Simplify 0 into 0
3.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
3.893 * [backup-simplify]: Simplify (- 0) into 0
3.893 * [backup-simplify]: Simplify (+ 0 0) into 0
3.895 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
3.895 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
3.895 * [taylor]: Taking taylor expansion of -1/8 in a
3.895 * [backup-simplify]: Simplify -1/8 into -1/8
3.895 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
3.895 * [taylor]: Taking taylor expansion of (pow a 2) in a
3.895 * [taylor]: Taking taylor expansion of a in a
3.895 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify 1 into 1
3.895 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.895 * [taylor]: Taking taylor expansion of c in a
3.895 * [backup-simplify]: Simplify c into c
3.895 * [backup-simplify]: Simplify (* 1 1) into 1
3.895 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.896 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
3.896 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
3.896 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
3.897 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.897 * [taylor]: Taking taylor expansion of 0 in c
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [taylor]: Taking taylor expansion of 0 in c
3.898 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.899 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.899 * [taylor]: Taking taylor expansion of 0 in c
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [taylor]: Taking taylor expansion of 0 in c
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [taylor]: Taking taylor expansion of 0 in c
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 0 into 0
3.900 * [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)
3.900 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
3.900 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
3.900 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
3.900 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
3.900 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
3.900 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.900 * [taylor]: Taking taylor expansion of b_2 in c
3.900 * [backup-simplify]: Simplify b_2 into b_2
3.900 * [taylor]: Taking taylor expansion of (* a c) in c
3.900 * [taylor]: Taking taylor expansion of a in c
3.900 * [backup-simplify]: Simplify a into a
3.900 * [taylor]: Taking taylor expansion of c in c
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.900 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.900 * [backup-simplify]: Simplify (* a 0) into 0
3.901 * [backup-simplify]: Simplify (- 0) into 0
3.901 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
3.901 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
3.901 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
3.902 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.902 * [backup-simplify]: Simplify (- a) into (- a)
3.902 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
3.902 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
3.902 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
3.902 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
3.902 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.902 * [taylor]: Taking taylor expansion of b_2 in a
3.902 * [backup-simplify]: Simplify b_2 into b_2
3.902 * [taylor]: Taking taylor expansion of (* a c) in a
3.902 * [taylor]: Taking taylor expansion of a in a
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [taylor]: Taking taylor expansion of c in a
3.902 * [backup-simplify]: Simplify c into c
3.902 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.902 * [backup-simplify]: Simplify (* 0 c) into 0
3.903 * [backup-simplify]: Simplify (- 0) into 0
3.903 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
3.903 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
3.903 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
3.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.904 * [backup-simplify]: Simplify (- c) into (- c)
3.904 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
3.904 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
3.904 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
3.904 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.904 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.904 * [taylor]: Taking taylor expansion of b_2 in b_2
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 1 into 1
3.904 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.904 * [taylor]: Taking taylor expansion of a in b_2
3.904 * [backup-simplify]: Simplify a into a
3.904 * [taylor]: Taking taylor expansion of c in b_2
3.904 * [backup-simplify]: Simplify c into c
3.904 * [backup-simplify]: Simplify (* a c) into (* a c)
3.904 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.904 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.905 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
3.905 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.905 * [backup-simplify]: Simplify (- 0) into 0
3.905 * [backup-simplify]: Simplify (+ 0 0) into 0
3.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
3.906 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
3.906 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.906 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.906 * [taylor]: Taking taylor expansion of b_2 in b_2
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 1 into 1
3.906 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.906 * [taylor]: Taking taylor expansion of a in b_2
3.906 * [backup-simplify]: Simplify a into a
3.906 * [taylor]: Taking taylor expansion of c in b_2
3.906 * [backup-simplify]: Simplify c into c
3.906 * [backup-simplify]: Simplify (* a c) into (* a c)
3.906 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.906 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.906 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
3.906 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.907 * [backup-simplify]: Simplify (- 0) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
3.907 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
3.907 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.907 * [taylor]: Taking taylor expansion of (* a c) in a
3.907 * [taylor]: Taking taylor expansion of a in a
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify 1 into 1
3.907 * [taylor]: Taking taylor expansion of c in a
3.908 * [backup-simplify]: Simplify c into c
3.908 * [backup-simplify]: Simplify (* 0 c) into 0
3.908 * [backup-simplify]: Simplify (- 0) into 0
3.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.908 * [backup-simplify]: Simplify (- c) into (- c)
3.909 * [backup-simplify]: Simplify (sqrt 0) into 0
3.909 * [backup-simplify]: Simplify (- c) into (- c)
3.909 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
3.910 * [taylor]: Taking taylor expansion of 0 in c
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [taylor]: Taking taylor expansion of 0 in a
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [taylor]: Taking taylor expansion of 0 in c
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
3.910 * [taylor]: Taking taylor expansion of +nan.0 in c
3.910 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.910 * [taylor]: Taking taylor expansion of c in c
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [backup-simplify]: Simplify (* +nan.0 0) into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.912 * [backup-simplify]: Simplify (- 0) into 0
3.912 * [backup-simplify]: Simplify (+ 1 0) into 1
3.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
3.913 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
3.913 * [taylor]: Taking taylor expansion of 1/2 in a
3.913 * [backup-simplify]: Simplify 1/2 into 1/2
3.913 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
3.913 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.913 * [taylor]: Taking taylor expansion of (* a c) in a
3.913 * [taylor]: Taking taylor expansion of a in a
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [taylor]: Taking taylor expansion of c in a
3.913 * [backup-simplify]: Simplify c into c
3.913 * [backup-simplify]: Simplify (* 0 c) into 0
3.914 * [backup-simplify]: Simplify (- 0) into 0
3.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.914 * [backup-simplify]: Simplify (- c) into (- c)
3.915 * [backup-simplify]: Simplify (sqrt 0) into 0
3.915 * [backup-simplify]: Simplify (- c) into (- c)
3.915 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
3.915 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
3.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.917 * [backup-simplify]: Simplify (- 0) into 0
3.918 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
3.918 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
3.918 * [taylor]: Taking taylor expansion of (- +nan.0) in c
3.918 * [taylor]: Taking taylor expansion of +nan.0 in c
3.918 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.919 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.919 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.919 * [taylor]: Taking taylor expansion of 0 in c
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.920 * [backup-simplify]: Simplify (- 0) into 0
3.921 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
3.921 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
3.921 * [taylor]: Taking taylor expansion of +nan.0 in c
3.921 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.921 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.921 * [taylor]: Taking taylor expansion of c in c
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.921 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
3.923 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.923 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.925 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.925 * [backup-simplify]: Simplify (- 0) into 0
3.926 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
3.926 * [taylor]: Taking taylor expansion of 0 in a
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [taylor]: Taking taylor expansion of 0 in c
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.928 * [backup-simplify]: Simplify (- 0) into 0
3.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
3.930 * [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))
3.930 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
3.930 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
3.930 * [taylor]: Taking taylor expansion of +nan.0 in c
3.930 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.930 * [taylor]: Taking taylor expansion of c in c
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (* +nan.0 0) into 0
3.931 * [backup-simplify]: Simplify (- 0) into 0
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [taylor]: Taking taylor expansion of 0 in c
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.932 * [backup-simplify]: Simplify (- 0) into 0
3.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
3.933 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
3.933 * [taylor]: Taking taylor expansion of +nan.0 in c
3.933 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.933 * [taylor]: Taking taylor expansion of (pow c 3) in c
3.933 * [taylor]: Taking taylor expansion of c in c
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.934 * [backup-simplify]: Simplify (- 0) into 0
3.934 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify 0 into 0
3.935 * [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)))))
3.935 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
3.935 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
3.935 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
3.935 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
3.935 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
3.935 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.935 * [taylor]: Taking taylor expansion of b_2 in c
3.935 * [backup-simplify]: Simplify b_2 into b_2
3.935 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.935 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.935 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.935 * [taylor]: Taking taylor expansion of (* a c) in c
3.935 * [taylor]: Taking taylor expansion of a in c
3.935 * [backup-simplify]: Simplify a into a
3.935 * [taylor]: Taking taylor expansion of c in c
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 1 into 1
3.936 * [backup-simplify]: Simplify (* a 0) into 0
3.936 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.936 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.936 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
3.936 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
3.937 * [backup-simplify]: Simplify (sqrt 0) into 0
3.937 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
3.937 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
3.937 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
3.937 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
3.937 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.937 * [taylor]: Taking taylor expansion of b_2 in a
3.937 * [backup-simplify]: Simplify b_2 into b_2
3.937 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.938 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.938 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.938 * [taylor]: Taking taylor expansion of (* a c) in a
3.938 * [taylor]: Taking taylor expansion of a in a
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 1 into 1
3.938 * [taylor]: Taking taylor expansion of c in a
3.938 * [backup-simplify]: Simplify c into c
3.938 * [backup-simplify]: Simplify (* 0 c) into 0
3.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.938 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.938 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
3.938 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
3.939 * [backup-simplify]: Simplify (sqrt 0) into 0
3.939 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
3.939 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.939 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.939 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.939 * [taylor]: Taking taylor expansion of b_2 in b_2
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (* 1 1) into 1
3.940 * [backup-simplify]: Simplify (/ 1 1) into 1
3.940 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.940 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.940 * [taylor]: Taking taylor expansion of a in b_2
3.940 * [backup-simplify]: Simplify a into a
3.940 * [taylor]: Taking taylor expansion of c in b_2
3.940 * [backup-simplify]: Simplify c into c
3.940 * [backup-simplify]: Simplify (* a c) into (* a c)
3.940 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.945 * [backup-simplify]: Simplify (+ 1 0) into 1
3.946 * [backup-simplify]: Simplify (sqrt 1) into 1
3.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.949 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.949 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.949 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.949 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.949 * [taylor]: Taking taylor expansion of b_2 in b_2
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.949 * [backup-simplify]: Simplify (* 1 1) into 1
3.950 * [backup-simplify]: Simplify (/ 1 1) into 1
3.950 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.950 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.950 * [taylor]: Taking taylor expansion of a in b_2
3.950 * [backup-simplify]: Simplify a into a
3.950 * [taylor]: Taking taylor expansion of c in b_2
3.950 * [backup-simplify]: Simplify c into c
3.950 * [backup-simplify]: Simplify (* a c) into (* a c)
3.950 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.950 * [backup-simplify]: Simplify (+ 1 0) into 1
3.951 * [backup-simplify]: Simplify (sqrt 1) into 1
3.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.953 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.953 * [taylor]: Taking taylor expansion of 1 in a
3.953 * [backup-simplify]: Simplify 1 into 1
3.953 * [taylor]: Taking taylor expansion of 0 in a
3.953 * [backup-simplify]: Simplify 0 into 0
3.954 * [taylor]: Taking taylor expansion of 1 in c
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.956 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
3.956 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
3.957 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
3.957 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
3.957 * [taylor]: Taking taylor expansion of -1/2 in a
3.957 * [backup-simplify]: Simplify -1/2 into -1/2
3.957 * [taylor]: Taking taylor expansion of (* a c) in a
3.957 * [taylor]: Taking taylor expansion of a in a
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [taylor]: Taking taylor expansion of c in a
3.957 * [backup-simplify]: Simplify c into c
3.957 * [backup-simplify]: Simplify (* 0 c) into 0
3.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.958 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
3.958 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
3.958 * [taylor]: Taking taylor expansion of -1/2 in c
3.958 * [backup-simplify]: Simplify -1/2 into -1/2
3.958 * [taylor]: Taking taylor expansion of c in c
3.958 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify 1 into 1
3.958 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.958 * [backup-simplify]: Simplify -1/2 into -1/2
3.959 * [taylor]: Taking taylor expansion of 0 in c
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [taylor]: Taking taylor expansion of 0 in c
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.961 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
3.961 * [backup-simplify]: Simplify (- 0) into 0
3.962 * [backup-simplify]: Simplify (+ 0 0) into 0
3.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
3.962 * [taylor]: Taking taylor expansion of 0 in a
3.962 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.963 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
3.963 * [taylor]: Taking taylor expansion of 0 in c
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [taylor]: Taking taylor expansion of 0 in c
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [taylor]: Taking taylor expansion of 0 in c
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
3.964 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.967 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
3.968 * [backup-simplify]: Simplify (- 0) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.970 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
3.970 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
3.970 * [taylor]: Taking taylor expansion of -1/8 in a
3.970 * [backup-simplify]: Simplify -1/8 into -1/8
3.970 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
3.970 * [taylor]: Taking taylor expansion of (pow a 2) in a
3.970 * [taylor]: Taking taylor expansion of a in a
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.970 * [taylor]: Taking taylor expansion of c in a
3.970 * [backup-simplify]: Simplify c into c
3.970 * [backup-simplify]: Simplify (* 1 1) into 1
3.970 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.971 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
3.971 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
3.971 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
3.973 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.973 * [taylor]: Taking taylor expansion of 0 in c
3.973 * [backup-simplify]: Simplify 0 into 0
3.973 * [taylor]: Taking taylor expansion of 0 in c
3.973 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.974 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.974 * [taylor]: Taking taylor expansion of 0 in c
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [taylor]: Taking taylor expansion of 0 in c
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [taylor]: Taking taylor expansion of 0 in c
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 0 into 0
3.975 * [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)))
3.975 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
3.975 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
3.975 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
3.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
3.975 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
3.975 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.975 * [taylor]: Taking taylor expansion of b_2 in c
3.975 * [backup-simplify]: Simplify b_2 into b_2
3.975 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.975 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.975 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.975 * [taylor]: Taking taylor expansion of (* a c) in c
3.975 * [taylor]: Taking taylor expansion of a in c
3.975 * [backup-simplify]: Simplify a into a
3.975 * [taylor]: Taking taylor expansion of c in c
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [backup-simplify]: Simplify (* a 0) into 0
3.976 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.976 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.976 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
3.976 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
3.976 * [backup-simplify]: Simplify (sqrt 0) into 0
3.976 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
3.976 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
3.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
3.976 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
3.976 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.977 * [taylor]: Taking taylor expansion of b_2 in a
3.977 * [backup-simplify]: Simplify b_2 into b_2
3.977 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
3.977 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
3.977 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.977 * [taylor]: Taking taylor expansion of (* a c) in a
3.977 * [taylor]: Taking taylor expansion of a in a
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify 1 into 1
3.977 * [taylor]: Taking taylor expansion of c in a
3.977 * [backup-simplify]: Simplify c into c
3.977 * [backup-simplify]: Simplify (* 0 c) into 0
3.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.977 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.978 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
3.978 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
3.978 * [backup-simplify]: Simplify (sqrt 0) into 0
3.978 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
3.978 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.978 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.978 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.978 * [taylor]: Taking taylor expansion of b_2 in b_2
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.979 * [backup-simplify]: Simplify (* 1 1) into 1
3.979 * [backup-simplify]: Simplify (/ 1 1) into 1
3.979 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.979 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.979 * [taylor]: Taking taylor expansion of a in b_2
3.979 * [backup-simplify]: Simplify a into a
3.979 * [taylor]: Taking taylor expansion of c in b_2
3.979 * [backup-simplify]: Simplify c into c
3.979 * [backup-simplify]: Simplify (* a c) into (* a c)
3.979 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.979 * [backup-simplify]: Simplify (+ 1 0) into 1
3.980 * [backup-simplify]: Simplify (sqrt 1) into 1
3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.981 * [backup-simplify]: Simplify (+ 0 0) into 0
3.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.981 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
3.981 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
3.981 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
3.981 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.981 * [taylor]: Taking taylor expansion of b_2 in b_2
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify (* 1 1) into 1
3.982 * [backup-simplify]: Simplify (/ 1 1) into 1
3.982 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
3.982 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.982 * [taylor]: Taking taylor expansion of a in b_2
3.982 * [backup-simplify]: Simplify a into a
3.982 * [taylor]: Taking taylor expansion of c in b_2
3.982 * [backup-simplify]: Simplify c into c
3.982 * [backup-simplify]: Simplify (* a c) into (* a c)
3.982 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.982 * [backup-simplify]: Simplify (+ 1 0) into 1
3.982 * [backup-simplify]: Simplify (sqrt 1) into 1
3.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.984 * [taylor]: Taking taylor expansion of 1 in a
3.984 * [backup-simplify]: Simplify 1 into 1
3.984 * [taylor]: Taking taylor expansion of 0 in a
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [taylor]: Taking taylor expansion of 1 in c
3.984 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.985 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
3.985 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
3.986 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
3.986 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
3.986 * [taylor]: Taking taylor expansion of -1/2 in a
3.986 * [backup-simplify]: Simplify -1/2 into -1/2
3.986 * [taylor]: Taking taylor expansion of (* a c) in a
3.986 * [taylor]: Taking taylor expansion of a in a
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [taylor]: Taking taylor expansion of c in a
3.986 * [backup-simplify]: Simplify c into c
3.986 * [backup-simplify]: Simplify (* 0 c) into 0
3.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.987 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
3.987 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
3.987 * [taylor]: Taking taylor expansion of -1/2 in c
3.987 * [backup-simplify]: Simplify -1/2 into -1/2
3.987 * [taylor]: Taking taylor expansion of c in c
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.987 * [backup-simplify]: Simplify -1/2 into -1/2
3.987 * [taylor]: Taking taylor expansion of 0 in c
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [taylor]: Taking taylor expansion of 0 in c
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.989 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
3.989 * [backup-simplify]: Simplify (- 0) into 0
3.989 * [backup-simplify]: Simplify (+ 0 0) into 0
3.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
3.990 * [taylor]: Taking taylor expansion of 0 in a
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.990 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
3.990 * [taylor]: Taking taylor expansion of 0 in c
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [taylor]: Taking taylor expansion of 0 in c
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [taylor]: Taking taylor expansion of 0 in c
3.990 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
3.993 * [backup-simplify]: Simplify (- 0) into 0
3.993 * [backup-simplify]: Simplify (+ 0 0) into 0
3.994 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
3.994 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
3.994 * [taylor]: Taking taylor expansion of -1/8 in a
3.994 * [backup-simplify]: Simplify -1/8 into -1/8
3.994 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
3.994 * [taylor]: Taking taylor expansion of (pow a 2) in a
3.994 * [taylor]: Taking taylor expansion of a in a
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 1 into 1
3.994 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.994 * [taylor]: Taking taylor expansion of c in a
3.994 * [backup-simplify]: Simplify c into c
3.995 * [backup-simplify]: Simplify (* 1 1) into 1
3.995 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.995 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
3.995 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
3.995 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
3.996 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.996 * [taylor]: Taking taylor expansion of 0 in c
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [taylor]: Taking taylor expansion of 0 in c
3.996 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.997 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.997 * [taylor]: Taking taylor expansion of 0 in c
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [taylor]: Taking taylor expansion of 0 in c
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [taylor]: Taking taylor expansion of 0 in c
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 0 into 0
3.998 * [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)
3.998 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1)
3.998 * [backup-simplify]: Simplify (- (* b_2 b_2) (* a c)) into (- (pow b_2 2) (* a c))
3.998 * [approximate]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in (b_2 a c) around 0
3.998 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
3.998 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
3.998 * [taylor]: Taking taylor expansion of b_2 in c
3.998 * [backup-simplify]: Simplify b_2 into b_2
3.998 * [taylor]: Taking taylor expansion of (* a c) in c
3.998 * [taylor]: Taking taylor expansion of a in c
3.998 * [backup-simplify]: Simplify a into a
3.998 * [taylor]: Taking taylor expansion of c in c
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
3.998 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
3.998 * [taylor]: Taking taylor expansion of b_2 in a
3.998 * [backup-simplify]: Simplify b_2 into b_2
3.998 * [taylor]: Taking taylor expansion of (* a c) in a
3.998 * [taylor]: Taking taylor expansion of a in a
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [taylor]: Taking taylor expansion of c in a
3.998 * [backup-simplify]: Simplify c into c
3.998 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.998 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.998 * [taylor]: Taking taylor expansion of b_2 in b_2
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.998 * [taylor]: Taking taylor expansion of a in b_2
3.998 * [backup-simplify]: Simplify a into a
3.998 * [taylor]: Taking taylor expansion of c in b_2
3.998 * [backup-simplify]: Simplify c into c
3.998 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
3.998 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
3.998 * [taylor]: Taking taylor expansion of b_2 in b_2
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [taylor]: Taking taylor expansion of (* a c) in b_2
3.998 * [taylor]: Taking taylor expansion of a in b_2
3.998 * [backup-simplify]: Simplify a into a
3.998 * [taylor]: Taking taylor expansion of c in b_2
3.998 * [backup-simplify]: Simplify c into c
3.998 * [backup-simplify]: Simplify (* a c) into (* a c)
3.999 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
3.999 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
3.999 * [taylor]: Taking taylor expansion of (- (* a c)) in a
3.999 * [taylor]: Taking taylor expansion of (* a c) in a
3.999 * [taylor]: Taking taylor expansion of a in a
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 1 into 1
3.999 * [taylor]: Taking taylor expansion of c in a
3.999 * [backup-simplify]: Simplify c into c
3.999 * [backup-simplify]: Simplify (* 0 c) into 0
3.999 * [backup-simplify]: Simplify (- 0) into 0
3.999 * [taylor]: Taking taylor expansion of 0 in c
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
3.999 * [backup-simplify]: Simplify (- 0) into 0
4.000 * [backup-simplify]: Simplify (+ 0 0) into 0
4.000 * [taylor]: Taking taylor expansion of 0 in a
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [taylor]: Taking taylor expansion of 0 in c
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
4.000 * [backup-simplify]: Simplify (- c) into (- c)
4.000 * [taylor]: Taking taylor expansion of (- c) in c
4.000 * [taylor]: Taking taylor expansion of c in c
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (- 0) into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify (* 1 1) into 1
4.001 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
4.001 * [backup-simplify]: Simplify (- 0) into 0
4.002 * [backup-simplify]: Simplify (+ 1 0) into 1
4.002 * [taylor]: Taking taylor expansion of 1 in a
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [taylor]: Taking taylor expansion of 1 in c
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [taylor]: Taking taylor expansion of 0 in c
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
4.003 * [backup-simplify]: Simplify (- 0) into 0
4.003 * [taylor]: Taking taylor expansion of 0 in c
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify (- 1) into -1
4.003 * [backup-simplify]: Simplify -1 into -1
4.003 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.005 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
4.005 * [backup-simplify]: Simplify (- 0) into 0
4.005 * [backup-simplify]: Simplify (+ 0 0) into 0
4.006 * [taylor]: Taking taylor expansion of 0 in a
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [taylor]: Taking taylor expansion of 0 in c
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [taylor]: Taking taylor expansion of 0 in c
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [taylor]: Taking taylor expansion of 0 in c
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
4.008 * [backup-simplify]: Simplify (- 0) into 0
4.008 * [taylor]: Taking taylor expansion of 0 in c
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify (+ (* -1 (* c (* a 1))) (* 1 (pow (* 1 (* 1 b_2)) 2))) into (- (pow b_2 2) (* a c))
4.008 * [backup-simplify]: Simplify (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
4.008 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
4.008 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
4.009 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
4.009 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
4.009 * [taylor]: Taking taylor expansion of b_2 in c
4.009 * [backup-simplify]: Simplify b_2 into b_2
4.009 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
4.009 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
4.009 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
4.009 * [taylor]: Taking taylor expansion of (* a c) in c
4.009 * [taylor]: Taking taylor expansion of a in c
4.009 * [backup-simplify]: Simplify a into a
4.009 * [taylor]: Taking taylor expansion of c in c
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (* a 0) into 0
4.010 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
4.010 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
4.010 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
4.010 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
4.010 * [taylor]: Taking taylor expansion of b_2 in a
4.010 * [backup-simplify]: Simplify b_2 into b_2
4.010 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
4.010 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
4.010 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
4.010 * [taylor]: Taking taylor expansion of (* a c) in a
4.010 * [taylor]: Taking taylor expansion of a in a
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify 1 into 1
4.010 * [taylor]: Taking taylor expansion of c in a
4.010 * [backup-simplify]: Simplify c into c
4.010 * [backup-simplify]: Simplify (* 0 c) into 0
4.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
4.011 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
4.011 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
4.011 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
4.011 * [taylor]: Taking taylor expansion of b_2 in b_2
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.012 * [backup-simplify]: Simplify (* 1 1) into 1
4.012 * [backup-simplify]: Simplify (/ 1 1) into 1
4.012 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
4.012 * [taylor]: Taking taylor expansion of (* a c) in b_2
4.012 * [taylor]: Taking taylor expansion of a in b_2
4.012 * [backup-simplify]: Simplify a into a
4.012 * [taylor]: Taking taylor expansion of c in b_2
4.012 * [backup-simplify]: Simplify c into c
4.012 * [backup-simplify]: Simplify (* a c) into (* a c)
4.012 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
4.012 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
4.012 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
4.012 * [taylor]: Taking taylor expansion of b_2 in b_2
4.012 * [backup-simplify]: Simplify 0 into 0
4.012 * [backup-simplify]: Simplify 1 into 1
4.013 * [backup-simplify]: Simplify (* 1 1) into 1
4.013 * [backup-simplify]: Simplify (/ 1 1) into 1
4.013 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
4.013 * [taylor]: Taking taylor expansion of (* a c) in b_2
4.013 * [taylor]: Taking taylor expansion of a in b_2
4.013 * [backup-simplify]: Simplify a into a
4.013 * [taylor]: Taking taylor expansion of c in b_2
4.013 * [backup-simplify]: Simplify c into c
4.014 * [backup-simplify]: Simplify (* a c) into (* a c)
4.014 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
4.014 * [backup-simplify]: Simplify (+ 1 0) into 1
4.014 * [taylor]: Taking taylor expansion of 1 in a
4.014 * [backup-simplify]: Simplify 1 into 1
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ 0 0) into 0
4.016 * [taylor]: Taking taylor expansion of 0 in a
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [taylor]: Taking taylor expansion of 1 in c
4.016 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.020 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
4.020 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
4.020 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
4.020 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
4.020 * [taylor]: Taking taylor expansion of (* a c) in a
4.020 * [taylor]: Taking taylor expansion of a in a
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 1 into 1
4.020 * [taylor]: Taking taylor expansion of c in a
4.020 * [backup-simplify]: Simplify c into c
4.020 * [backup-simplify]: Simplify (* 0 c) into 0
4.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
4.021 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
4.021 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
4.021 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
4.021 * [taylor]: Taking taylor expansion of (/ 1 c) in c
4.021 * [taylor]: Taking taylor expansion of c in c
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (/ 1 1) into 1
4.022 * [backup-simplify]: Simplify (- 1) into -1
4.022 * [backup-simplify]: Simplify -1 into -1
4.022 * [taylor]: Taking taylor expansion of 0 in c
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [taylor]: Taking taylor expansion of 0 in c
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 1 into 1
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
4.024 * [backup-simplify]: Simplify (- 0) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.024 * [taylor]: Taking taylor expansion of 0 in a
4.024 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
4.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
4.025 * [backup-simplify]: Simplify (- 0) into 0
4.025 * [taylor]: Taking taylor expansion of 0 in c
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [taylor]: Taking taylor expansion of 0 in c
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [taylor]: Taking taylor expansion of 0 in c
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (- 0) into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.028 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
4.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
4.029 * [backup-simplify]: Simplify (- 0) into 0
4.029 * [backup-simplify]: Simplify (+ 0 0) into 0
4.029 * [taylor]: Taking taylor expansion of 0 in a
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [taylor]: Taking taylor expansion of 0 in c
4.029 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
4.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
4.031 * [backup-simplify]: Simplify (- 0) into 0
4.031 * [taylor]: Taking taylor expansion of 0 in c
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [taylor]: Taking taylor expansion of 0 in c
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [taylor]: Taking taylor expansion of 0 in c
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [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))
4.031 * [backup-simplify]: Simplify (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
4.031 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
4.031 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
4.031 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
4.031 * [taylor]: Taking taylor expansion of b_2 in c
4.031 * [backup-simplify]: Simplify b_2 into b_2
4.031 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
4.032 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
4.032 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
4.032 * [taylor]: Taking taylor expansion of (* a c) in c
4.032 * [taylor]: Taking taylor expansion of a in c
4.032 * [backup-simplify]: Simplify a into a
4.032 * [taylor]: Taking taylor expansion of c in c
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (* a 0) into 0
4.032 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
4.032 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
4.032 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
4.032 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
4.032 * [taylor]: Taking taylor expansion of b_2 in a
4.032 * [backup-simplify]: Simplify b_2 into b_2
4.032 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
4.032 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
4.032 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
4.032 * [taylor]: Taking taylor expansion of (* a c) in a
4.032 * [taylor]: Taking taylor expansion of a in a
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [taylor]: Taking taylor expansion of c in a
4.032 * [backup-simplify]: Simplify c into c
4.032 * [backup-simplify]: Simplify (* 0 c) into 0
4.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
4.033 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
4.033 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
4.033 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
4.033 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
4.033 * [taylor]: Taking taylor expansion of b_2 in b_2
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 1 into 1
4.033 * [backup-simplify]: Simplify (* 1 1) into 1
4.034 * [backup-simplify]: Simplify (/ 1 1) into 1
4.034 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
4.034 * [taylor]: Taking taylor expansion of (* a c) in b_2
4.034 * [taylor]: Taking taylor expansion of a in b_2
4.034 * [backup-simplify]: Simplify a into a
4.034 * [taylor]: Taking taylor expansion of c in b_2
4.034 * [backup-simplify]: Simplify c into c
4.034 * [backup-simplify]: Simplify (* a c) into (* a c)
4.034 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
4.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
4.034 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
4.034 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
4.034 * [taylor]: Taking taylor expansion of b_2 in b_2
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 1 into 1
4.034 * [backup-simplify]: Simplify (* 1 1) into 1
4.035 * [backup-simplify]: Simplify (/ 1 1) into 1
4.035 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
4.035 * [taylor]: Taking taylor expansion of (* a c) in b_2
4.035 * [taylor]: Taking taylor expansion of a in b_2
4.035 * [backup-simplify]: Simplify a into a
4.035 * [taylor]: Taking taylor expansion of c in b_2
4.035 * [backup-simplify]: Simplify c into c
4.035 * [backup-simplify]: Simplify (* a c) into (* a c)
4.035 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
4.035 * [backup-simplify]: Simplify (+ 1 0) into 1
4.035 * [taylor]: Taking taylor expansion of 1 in a
4.035 * [backup-simplify]: Simplify 1 into 1
4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.036 * [backup-simplify]: Simplify (+ 0 0) into 0
4.036 * [taylor]: Taking taylor expansion of 0 in a
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [taylor]: Taking taylor expansion of 1 in c
4.036 * [backup-simplify]: Simplify 1 into 1
4.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.038 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
4.038 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
4.038 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
4.038 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
4.038 * [taylor]: Taking taylor expansion of (* a c) in a
4.038 * [taylor]: Taking taylor expansion of a in a
4.038 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify 1 into 1
4.038 * [taylor]: Taking taylor expansion of c in a
4.038 * [backup-simplify]: Simplify c into c
4.038 * [backup-simplify]: Simplify (* 0 c) into 0
4.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
4.038 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
4.038 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
4.038 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
4.038 * [taylor]: Taking taylor expansion of (/ 1 c) in c
4.038 * [taylor]: Taking taylor expansion of c in c
4.038 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify 1 into 1
4.038 * [backup-simplify]: Simplify (/ 1 1) into 1
4.039 * [backup-simplify]: Simplify (- 1) into -1
4.039 * [backup-simplify]: Simplify -1 into -1
4.039 * [taylor]: Taking taylor expansion of 0 in c
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [taylor]: Taking taylor expansion of 0 in c
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 1 into 1
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
4.040 * [backup-simplify]: Simplify (- 0) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.041 * [taylor]: Taking taylor expansion of 0 in a
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
4.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
4.042 * [backup-simplify]: Simplify (- 0) into 0
4.042 * [taylor]: Taking taylor expansion of 0 in c
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [taylor]: Taking taylor expansion of 0 in c
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [taylor]: Taking taylor expansion of 0 in c
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.042 * [backup-simplify]: Simplify (- 0) into 0
4.042 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
4.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
4.044 * [backup-simplify]: Simplify (- 0) into 0
4.045 * [backup-simplify]: Simplify (+ 0 0) into 0
4.045 * [taylor]: Taking taylor expansion of 0 in a
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [taylor]: Taking taylor expansion of 0 in c
4.045 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
4.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
4.046 * [backup-simplify]: Simplify (- 0) into 0
4.046 * [taylor]: Taking taylor expansion of 0 in c
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [taylor]: Taking taylor expansion of 0 in c
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [taylor]: Taking taylor expansion of 0 in c
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [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))
4.046 * * * [progress]: simplifying candidates
4.047 * [simplify]: Simplifying:
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (fma b_2 b_2 (- (* c a)))
  (fma (- c) a (* c a))
  (expm1 (- (* b_2 b_2) (* a c)))
  (log1p (- (* b_2 b_2) (* a c)))
  (- (* 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))
  (- (+ (* +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)) (- (* +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)) (- (* +nan.0 (* a c)))))
  (- b_2 (* 1/2 (/ (* a c) b_2)))
  (- (* 1/2 (/ (* a c) b_2)) b_2)
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
4.048 * * [simplify]: iteration 0: 67 enodes
4.074 * * [simplify]: iteration 1: 161 enodes
4.124 * * [simplify]: iteration 2: 455 enodes
4.377 * * [simplify]: iteration 3: 1495 enodes
5.795 * * [simplify]: iteration complete: 5000 enodes
5.795 * * [simplify]: Extracting #0: cost 34 inf + 0
5.796 * * [simplify]: Extracting #1: cost 260 inf + 2
5.801 * * [simplify]: Extracting #2: cost 1248 inf + 5022
5.828 * * [simplify]: Extracting #3: cost 675 inf + 82634
5.897 * * [simplify]: Extracting #4: cost 219 inf + 175353
5.986 * * [simplify]: Extracting #5: cost 17 inf + 234951
6.046 * * [simplify]: Extracting #6: cost 0 inf + 241471
6.094 * [simplify]: Simplified to:
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (* (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma a c (* b_2 b_2)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (* (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma a c (* b_2 b_2)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (* (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma a c (* b_2 b_2)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (- (* b_2 b_2) (* a c))
  (* a (+ c (- c)))
  (expm1 (- (* b_2 b_2) (* a c)))
  (log1p (- (* b_2 b_2) (* a c)))
  (- (* a c))
  (exp (- (* b_2 b_2) (* 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)))
  (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c)))
  (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2))))
  (- (* a c))
  (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c)))
  (fma a c (* b_2 b_2))
  (- (* a c))
  (* (- +nan.0) (- (* b_2 b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ 1/2 (/ (/ b_2 a) c)) b_2)
  (* (- +nan.0) (- (* b_2 b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ 1/2 (/ (/ b_2 a) c)) b_2)
  (* (- +nan.0) (- (* b_2 b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ 1/2 (/ (/ b_2 a) c)) b_2)
  (- (* b_2 b_2) (* a c))
  (- (* b_2 b_2) (* a c))
  (- (* b_2 b_2) (* a c))
6.102 * * * [progress]: adding candidates to table
6.671 * * [progress]: iteration 3 / 4
6.671 * * * [progress]: picking best candidate
6.721 * * * * [pick]: Picked  #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))>
6.721 * * * [progress]: localizing error
6.827 * * * [progress]: generating rewritten candidates
6.827 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2)
6.836 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2)
6.846 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2)
6.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1)
6.881 * * * [progress]: generating series expansions
6.881 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2)
6.881 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
6.881 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
6.881 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
6.881 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
6.881 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
6.881 * [taylor]: Taking taylor expansion of b_2 in c
6.881 * [backup-simplify]: Simplify b_2 into b_2
6.881 * [taylor]: Taking taylor expansion of (* a c) in c
6.881 * [taylor]: Taking taylor expansion of a in c
6.881 * [backup-simplify]: Simplify a into a
6.881 * [taylor]: Taking taylor expansion of c in c
6.881 * [backup-simplify]: Simplify 0 into 0
6.881 * [backup-simplify]: Simplify 1 into 1
6.881 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.882 * [backup-simplify]: Simplify (* a 0) into 0
6.882 * [backup-simplify]: Simplify (- 0) into 0
6.882 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
6.883 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
6.883 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
6.883 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.883 * [backup-simplify]: Simplify (- a) into (- a)
6.883 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
6.883 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
6.884 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
6.884 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
6.884 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
6.884 * [taylor]: Taking taylor expansion of b_2 in a
6.884 * [backup-simplify]: Simplify b_2 into b_2
6.884 * [taylor]: Taking taylor expansion of (* a c) in a
6.884 * [taylor]: Taking taylor expansion of a in a
6.884 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify 1 into 1
6.884 * [taylor]: Taking taylor expansion of c in a
6.884 * [backup-simplify]: Simplify c into c
6.884 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.884 * [backup-simplify]: Simplify (* 0 c) into 0
6.884 * [backup-simplify]: Simplify (- 0) into 0
6.884 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
6.885 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
6.885 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
6.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.885 * [backup-simplify]: Simplify (- c) into (- c)
6.885 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
6.885 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
6.885 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
6.886 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
6.886 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.886 * [taylor]: Taking taylor expansion of b_2 in b_2
6.886 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify 1 into 1
6.886 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.886 * [taylor]: Taking taylor expansion of a in b_2
6.886 * [backup-simplify]: Simplify a into a
6.886 * [taylor]: Taking taylor expansion of c in b_2
6.886 * [backup-simplify]: Simplify c into c
6.886 * [backup-simplify]: Simplify (* a c) into (* a c)
6.886 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
6.886 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
6.886 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
6.886 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
6.887 * [backup-simplify]: Simplify (- 0) into 0
6.887 * [backup-simplify]: Simplify (+ 0 0) into 0
6.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
6.887 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
6.887 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
6.887 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.887 * [taylor]: Taking taylor expansion of b_2 in b_2
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 1 into 1
6.887 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.887 * [taylor]: Taking taylor expansion of a in b_2
6.887 * [backup-simplify]: Simplify a into a
6.887 * [taylor]: Taking taylor expansion of c in b_2
6.887 * [backup-simplify]: Simplify c into c
6.887 * [backup-simplify]: Simplify (* a c) into (* a c)
6.888 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
6.888 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
6.888 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
6.888 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
6.888 * [backup-simplify]: Simplify (- 0) into 0
6.889 * [backup-simplify]: Simplify (+ 0 0) into 0
6.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
6.889 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
6.889 * [taylor]: Taking taylor expansion of (- (* a c)) in a
6.889 * [taylor]: Taking taylor expansion of (* a c) in a
6.889 * [taylor]: Taking taylor expansion of a in a
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [backup-simplify]: Simplify 1 into 1
6.889 * [taylor]: Taking taylor expansion of c in a
6.889 * [backup-simplify]: Simplify c into c
6.889 * [backup-simplify]: Simplify (* 0 c) into 0
6.890 * [backup-simplify]: Simplify (- 0) into 0
6.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.890 * [backup-simplify]: Simplify (- c) into (- c)
6.890 * [backup-simplify]: Simplify (sqrt 0) into 0
6.891 * [backup-simplify]: Simplify (- c) into (- c)
6.891 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
6.891 * [taylor]: Taking taylor expansion of 0 in c
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [taylor]: Taking taylor expansion of 0 in a
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [taylor]: Taking taylor expansion of 0 in c
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
6.891 * [taylor]: Taking taylor expansion of +nan.0 in c
6.892 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.892 * [taylor]: Taking taylor expansion of c in c
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 1 into 1
6.892 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify (* 1 1) into 1
6.893 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
6.893 * [backup-simplify]: Simplify (- 0) into 0
6.894 * [backup-simplify]: Simplify (+ 1 0) into 1
6.895 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
6.895 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
6.895 * [taylor]: Taking taylor expansion of 1/2 in a
6.895 * [backup-simplify]: Simplify 1/2 into 1/2
6.895 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
6.895 * [taylor]: Taking taylor expansion of (- (* a c)) in a
6.895 * [taylor]: Taking taylor expansion of (* a c) in a
6.895 * [taylor]: Taking taylor expansion of a in a
6.895 * [backup-simplify]: Simplify 0 into 0
6.895 * [backup-simplify]: Simplify 1 into 1
6.895 * [taylor]: Taking taylor expansion of c in a
6.895 * [backup-simplify]: Simplify c into c
6.895 * [backup-simplify]: Simplify (* 0 c) into 0
6.896 * [backup-simplify]: Simplify (- 0) into 0
6.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.896 * [backup-simplify]: Simplify (- c) into (- c)
6.897 * [backup-simplify]: Simplify (sqrt 0) into 0
6.897 * [backup-simplify]: Simplify (- c) into (- c)
6.897 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
6.897 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
6.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.898 * [backup-simplify]: Simplify (- 0) into 0
6.899 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
6.899 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
6.899 * [taylor]: Taking taylor expansion of (- +nan.0) in c
6.899 * [taylor]: Taking taylor expansion of +nan.0 in c
6.899 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.900 * [taylor]: Taking taylor expansion of 0 in c
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.901 * [backup-simplify]: Simplify (- 0) into 0
6.901 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
6.901 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
6.901 * [taylor]: Taking taylor expansion of +nan.0 in c
6.901 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.901 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.901 * [taylor]: Taking taylor expansion of c in c
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 1 into 1
6.901 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
6.903 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.903 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.904 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
6.904 * [backup-simplify]: Simplify (- 0) into 0
6.904 * [backup-simplify]: Simplify (+ 0 0) into 0
6.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
6.904 * [taylor]: Taking taylor expansion of 0 in a
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [taylor]: Taking taylor expansion of 0 in c
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 0 into 0
6.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
6.905 * [backup-simplify]: Simplify (- 0) into 0
6.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
6.906 * [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))
6.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
6.906 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
6.906 * [taylor]: Taking taylor expansion of +nan.0 in c
6.906 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.907 * [taylor]: Taking taylor expansion of c in c
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 1 into 1
6.907 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.907 * [backup-simplify]: Simplify (- 0) into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in c
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
6.908 * [backup-simplify]: Simplify (- 0) into 0
6.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
6.909 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
6.909 * [taylor]: Taking taylor expansion of +nan.0 in c
6.909 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.909 * [taylor]: Taking taylor expansion of (pow c 3) in c
6.909 * [taylor]: Taking taylor expansion of c in c
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 1 into 1
6.909 * [backup-simplify]: Simplify (- 0) into 0
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 0 into 0
6.910 * [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)))))
6.910 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
6.910 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
6.910 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
6.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
6.910 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
6.910 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
6.910 * [taylor]: Taking taylor expansion of b_2 in c
6.910 * [backup-simplify]: Simplify b_2 into b_2
6.910 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.910 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
6.910 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.910 * [taylor]: Taking taylor expansion of (* a c) in c
6.910 * [taylor]: Taking taylor expansion of a in c
6.910 * [backup-simplify]: Simplify a into a
6.910 * [taylor]: Taking taylor expansion of c in c
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify (* a 0) into 0
6.911 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.911 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.911 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
6.911 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
6.911 * [backup-simplify]: Simplify (sqrt 0) into 0
6.911 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
6.911 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
6.911 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
6.911 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
6.911 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
6.911 * [taylor]: Taking taylor expansion of b_2 in a
6.911 * [backup-simplify]: Simplify b_2 into b_2
6.911 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.912 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
6.912 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.912 * [taylor]: Taking taylor expansion of (* a c) in a
6.912 * [taylor]: Taking taylor expansion of a in a
6.912 * [backup-simplify]: Simplify 0 into 0
6.912 * [backup-simplify]: Simplify 1 into 1
6.912 * [taylor]: Taking taylor expansion of c in a
6.912 * [backup-simplify]: Simplify c into c
6.912 * [backup-simplify]: Simplify (* 0 c) into 0
6.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.912 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.912 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
6.912 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
6.912 * [backup-simplify]: Simplify (sqrt 0) into 0
6.913 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
6.913 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
6.913 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
6.913 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
6.913 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.913 * [taylor]: Taking taylor expansion of b_2 in b_2
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 1 into 1
6.913 * [backup-simplify]: Simplify (* 1 1) into 1
6.913 * [backup-simplify]: Simplify (/ 1 1) into 1
6.913 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
6.913 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.913 * [taylor]: Taking taylor expansion of a in b_2
6.913 * [backup-simplify]: Simplify a into a
6.913 * [taylor]: Taking taylor expansion of c in b_2
6.913 * [backup-simplify]: Simplify c into c
6.913 * [backup-simplify]: Simplify (* a c) into (* a c)
6.914 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.914 * [backup-simplify]: Simplify (+ 1 0) into 1
6.914 * [backup-simplify]: Simplify (sqrt 1) into 1
6.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.915 * [backup-simplify]: Simplify (+ 0 0) into 0
6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.916 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
6.916 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
6.916 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
6.916 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.916 * [taylor]: Taking taylor expansion of b_2 in b_2
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 1 into 1
6.916 * [backup-simplify]: Simplify (* 1 1) into 1
6.916 * [backup-simplify]: Simplify (/ 1 1) into 1
6.916 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
6.916 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.916 * [taylor]: Taking taylor expansion of a in b_2
6.916 * [backup-simplify]: Simplify a into a
6.916 * [taylor]: Taking taylor expansion of c in b_2
6.916 * [backup-simplify]: Simplify c into c
6.916 * [backup-simplify]: Simplify (* a c) into (* a c)
6.916 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.917 * [backup-simplify]: Simplify (+ 1 0) into 1
6.917 * [backup-simplify]: Simplify (sqrt 1) into 1
6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.918 * [backup-simplify]: Simplify (+ 0 0) into 0
6.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.918 * [taylor]: Taking taylor expansion of 1 in a
6.918 * [backup-simplify]: Simplify 1 into 1
6.918 * [taylor]: Taking taylor expansion of 0 in a
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [taylor]: Taking taylor expansion of 1 in c
6.918 * [backup-simplify]: Simplify 1 into 1
6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.920 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
6.920 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
6.920 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
6.920 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
6.921 * [taylor]: Taking taylor expansion of -1/2 in a
6.921 * [backup-simplify]: Simplify -1/2 into -1/2
6.921 * [taylor]: Taking taylor expansion of (* a c) in a
6.921 * [taylor]: Taking taylor expansion of a in a
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 1 into 1
6.921 * [taylor]: Taking taylor expansion of c in a
6.921 * [backup-simplify]: Simplify c into c
6.921 * [backup-simplify]: Simplify (* 0 c) into 0
6.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.921 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
6.921 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
6.921 * [taylor]: Taking taylor expansion of -1/2 in c
6.921 * [backup-simplify]: Simplify -1/2 into -1/2
6.921 * [taylor]: Taking taylor expansion of c in c
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 1 into 1
6.921 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.921 * [backup-simplify]: Simplify -1/2 into -1/2
6.921 * [taylor]: Taking taylor expansion of 0 in c
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [taylor]: Taking taylor expansion of 0 in c
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 1 into 1
6.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.923 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
6.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
6.923 * [backup-simplify]: Simplify (- 0) into 0
6.923 * [backup-simplify]: Simplify (+ 0 0) into 0
6.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
6.924 * [taylor]: Taking taylor expansion of 0 in a
6.924 * [backup-simplify]: Simplify 0 into 0
6.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.924 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
6.924 * [taylor]: Taking taylor expansion of 0 in c
6.924 * [backup-simplify]: Simplify 0 into 0
6.924 * [taylor]: Taking taylor expansion of 0 in c
6.924 * [backup-simplify]: Simplify 0 into 0
6.924 * [taylor]: Taking taylor expansion of 0 in c
6.924 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
6.925 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.927 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
6.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
6.927 * [backup-simplify]: Simplify (- 0) into 0
6.928 * [backup-simplify]: Simplify (+ 0 0) into 0
6.929 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
6.929 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
6.929 * [taylor]: Taking taylor expansion of -1/8 in a
6.929 * [backup-simplify]: Simplify -1/8 into -1/8
6.929 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
6.929 * [taylor]: Taking taylor expansion of (pow a 2) in a
6.929 * [taylor]: Taking taylor expansion of a in a
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 1 into 1
6.929 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.929 * [taylor]: Taking taylor expansion of c in a
6.929 * [backup-simplify]: Simplify c into c
6.930 * [backup-simplify]: Simplify (* 1 1) into 1
6.930 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.930 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
6.930 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
6.930 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
6.932 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.932 * [taylor]: Taking taylor expansion of 0 in c
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [taylor]: Taking taylor expansion of 0 in c
6.932 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
6.933 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.933 * [taylor]: Taking taylor expansion of 0 in c
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [taylor]: Taking taylor expansion of 0 in c
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [taylor]: Taking taylor expansion of 0 in c
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 0 into 0
6.935 * [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)))
6.935 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
6.935 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
6.935 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
6.935 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
6.935 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
6.935 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
6.935 * [taylor]: Taking taylor expansion of b_2 in c
6.935 * [backup-simplify]: Simplify b_2 into b_2
6.935 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.935 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
6.935 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.935 * [taylor]: Taking taylor expansion of (* a c) in c
6.935 * [taylor]: Taking taylor expansion of a in c
6.935 * [backup-simplify]: Simplify a into a
6.935 * [taylor]: Taking taylor expansion of c in c
6.935 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 1 into 1
6.936 * [backup-simplify]: Simplify (* a 0) into 0
6.936 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.936 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.936 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
6.936 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
6.937 * [backup-simplify]: Simplify (sqrt 0) into 0
6.937 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
6.937 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
6.937 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
6.938 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
6.938 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
6.938 * [taylor]: Taking taylor expansion of b_2 in a
6.938 * [backup-simplify]: Simplify b_2 into b_2
6.938 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.938 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
6.938 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.938 * [taylor]: Taking taylor expansion of (* a c) in a
6.938 * [taylor]: Taking taylor expansion of a in a
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 1 into 1
6.938 * [taylor]: Taking taylor expansion of c in a
6.938 * [backup-simplify]: Simplify c into c
6.938 * [backup-simplify]: Simplify (* 0 c) into 0
6.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.939 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.939 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
6.939 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
6.939 * [backup-simplify]: Simplify (sqrt 0) into 0
6.940 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
6.940 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
6.940 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
6.940 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
6.940 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.940 * [taylor]: Taking taylor expansion of b_2 in b_2
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [backup-simplify]: Simplify (* 1 1) into 1
6.941 * [backup-simplify]: Simplify (/ 1 1) into 1
6.941 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
6.941 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.941 * [taylor]: Taking taylor expansion of a in b_2
6.941 * [backup-simplify]: Simplify a into a
6.941 * [taylor]: Taking taylor expansion of c in b_2
6.941 * [backup-simplify]: Simplify c into c
6.941 * [backup-simplify]: Simplify (* a c) into (* a c)
6.941 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.942 * [backup-simplify]: Simplify (+ 1 0) into 1
6.942 * [backup-simplify]: Simplify (sqrt 1) into 1
6.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.944 * [backup-simplify]: Simplify (+ 0 0) into 0
6.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.944 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
6.944 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
6.944 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
6.944 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.944 * [taylor]: Taking taylor expansion of b_2 in b_2
6.944 * [backup-simplify]: Simplify 0 into 0
6.944 * [backup-simplify]: Simplify 1 into 1
6.945 * [backup-simplify]: Simplify (* 1 1) into 1
6.945 * [backup-simplify]: Simplify (/ 1 1) into 1
6.945 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
6.945 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.945 * [taylor]: Taking taylor expansion of a in b_2
6.945 * [backup-simplify]: Simplify a into a
6.945 * [taylor]: Taking taylor expansion of c in b_2
6.945 * [backup-simplify]: Simplify c into c
6.945 * [backup-simplify]: Simplify (* a c) into (* a c)
6.946 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.946 * [backup-simplify]: Simplify (+ 1 0) into 1
6.946 * [backup-simplify]: Simplify (sqrt 1) into 1
6.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.948 * [backup-simplify]: Simplify (+ 0 0) into 0
6.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.949 * [taylor]: Taking taylor expansion of 1 in a
6.949 * [backup-simplify]: Simplify 1 into 1
6.949 * [taylor]: Taking taylor expansion of 0 in a
6.949 * [backup-simplify]: Simplify 0 into 0
6.949 * [taylor]: Taking taylor expansion of 1 in c
6.949 * [backup-simplify]: Simplify 1 into 1
6.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.951 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
6.951 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
6.952 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
6.952 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
6.952 * [taylor]: Taking taylor expansion of -1/2 in a
6.952 * [backup-simplify]: Simplify -1/2 into -1/2
6.952 * [taylor]: Taking taylor expansion of (* a c) in a
6.952 * [taylor]: Taking taylor expansion of a in a
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [taylor]: Taking taylor expansion of c in a
6.952 * [backup-simplify]: Simplify c into c
6.952 * [backup-simplify]: Simplify (* 0 c) into 0
6.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.953 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
6.953 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
6.953 * [taylor]: Taking taylor expansion of -1/2 in c
6.953 * [backup-simplify]: Simplify -1/2 into -1/2
6.953 * [taylor]: Taking taylor expansion of c in c
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify 1 into 1
6.953 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.953 * [backup-simplify]: Simplify -1/2 into -1/2
6.953 * [taylor]: Taking taylor expansion of 0 in c
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [taylor]: Taking taylor expansion of 0 in c
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify 1 into 1
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
6.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
6.956 * [backup-simplify]: Simplify (- 0) into 0
6.956 * [backup-simplify]: Simplify (+ 0 0) into 0
6.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
6.957 * [taylor]: Taking taylor expansion of 0 in a
6.957 * [backup-simplify]: Simplify 0 into 0
6.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.958 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
6.958 * [taylor]: Taking taylor expansion of 0 in c
6.958 * [backup-simplify]: Simplify 0 into 0
6.958 * [taylor]: Taking taylor expansion of 0 in c
6.958 * [backup-simplify]: Simplify 0 into 0
6.958 * [taylor]: Taking taylor expansion of 0 in c
6.958 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.961 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
6.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
6.962 * [backup-simplify]: Simplify (- 0) into 0
6.962 * [backup-simplify]: Simplify (+ 0 0) into 0
6.963 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
6.963 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
6.963 * [taylor]: Taking taylor expansion of -1/8 in a
6.963 * [backup-simplify]: Simplify -1/8 into -1/8
6.963 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
6.963 * [taylor]: Taking taylor expansion of (pow a 2) in a
6.963 * [taylor]: Taking taylor expansion of a in a
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify 1 into 1
6.964 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.964 * [taylor]: Taking taylor expansion of c in a
6.964 * [backup-simplify]: Simplify c into c
6.964 * [backup-simplify]: Simplify (* 1 1) into 1
6.964 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.964 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
6.964 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
6.964 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
6.966 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.966 * [taylor]: Taking taylor expansion of 0 in c
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [taylor]: Taking taylor expansion of 0 in c
6.966 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
6.967 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.967 * [taylor]: Taking taylor expansion of 0 in c
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [taylor]: Taking taylor expansion of 0 in c
6.967 * [backup-simplify]: Simplify 0 into 0
6.968 * [taylor]: Taking taylor expansion of 0 in c
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [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)
6.968 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2)
6.968 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
6.968 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
6.968 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
6.968 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
6.968 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
6.969 * [taylor]: Taking taylor expansion of b_2 in c
6.969 * [backup-simplify]: Simplify b_2 into b_2
6.969 * [taylor]: Taking taylor expansion of (* a c) in c
6.969 * [taylor]: Taking taylor expansion of a in c
6.969 * [backup-simplify]: Simplify a into a
6.969 * [taylor]: Taking taylor expansion of c in c
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.969 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.969 * [backup-simplify]: Simplify (* a 0) into 0
6.969 * [backup-simplify]: Simplify (- 0) into 0
6.969 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
6.970 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
6.970 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
6.970 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.970 * [backup-simplify]: Simplify (- a) into (- a)
6.970 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
6.971 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
6.971 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
6.971 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
6.971 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
6.971 * [taylor]: Taking taylor expansion of b_2 in a
6.971 * [backup-simplify]: Simplify b_2 into b_2
6.971 * [taylor]: Taking taylor expansion of (* a c) in a
6.971 * [taylor]: Taking taylor expansion of a in a
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.971 * [taylor]: Taking taylor expansion of c in a
6.971 * [backup-simplify]: Simplify c into c
6.971 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
6.971 * [backup-simplify]: Simplify (* 0 c) into 0
6.971 * [backup-simplify]: Simplify (- 0) into 0
6.972 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
6.972 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
6.972 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
6.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.972 * [backup-simplify]: Simplify (- c) into (- c)
6.972 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
6.973 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
6.973 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
6.973 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
6.973 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.973 * [taylor]: Taking taylor expansion of b_2 in b_2
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 1 into 1
6.973 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.973 * [taylor]: Taking taylor expansion of a in b_2
6.973 * [backup-simplify]: Simplify a into a
6.973 * [taylor]: Taking taylor expansion of c in b_2
6.973 * [backup-simplify]: Simplify c into c
6.973 * [backup-simplify]: Simplify (* a c) into (* a c)
6.973 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
6.973 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
6.973 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
6.973 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
6.974 * [backup-simplify]: Simplify (- 0) into 0
6.974 * [backup-simplify]: Simplify (+ 0 0) into 0
6.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
6.974 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
6.974 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
6.974 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
6.974 * [taylor]: Taking taylor expansion of b_2 in b_2
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 1 into 1
6.974 * [taylor]: Taking taylor expansion of (* a c) in b_2
6.975 * [taylor]: Taking taylor expansion of a in b_2
6.975 * [backup-simplify]: Simplify a into a
6.975 * [taylor]: Taking taylor expansion of c in b_2
6.975 * [backup-simplify]: Simplify c into c
6.975 * [backup-simplify]: Simplify (* a c) into (* a c)
6.975 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
6.975 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
6.975 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
6.975 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
6.975 * [backup-simplify]: Simplify (- 0) into 0
6.976 * [backup-simplify]: Simplify (+ 0 0) into 0
6.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
6.976 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
6.976 * [taylor]: Taking taylor expansion of (- (* a c)) in a
6.976 * [taylor]: Taking taylor expansion of (* a c) in a
6.976 * [taylor]: Taking taylor expansion of a in a
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 1 into 1
6.976 * [taylor]: Taking taylor expansion of c in a
6.976 * [backup-simplify]: Simplify c into c
6.976 * [backup-simplify]: Simplify (* 0 c) into 0
6.977 * [backup-simplify]: Simplify (- 0) into 0
6.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.977 * [backup-simplify]: Simplify (- c) into (- c)
6.978 * [backup-simplify]: Simplify (sqrt 0) into 0
6.978 * [backup-simplify]: Simplify (- c) into (- c)
6.978 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
6.978 * [taylor]: Taking taylor expansion of 0 in c
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [taylor]: Taking taylor expansion of 0 in a
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [taylor]: Taking taylor expansion of 0 in c
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.979 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
6.979 * [taylor]: Taking taylor expansion of +nan.0 in c
6.979 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.979 * [taylor]: Taking taylor expansion of c in c
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 1 into 1
6.979 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify (* 1 1) into 1
6.980 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
6.981 * [backup-simplify]: Simplify (- 0) into 0
6.981 * [backup-simplify]: Simplify (+ 1 0) into 1
6.983 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
6.983 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
6.983 * [taylor]: Taking taylor expansion of 1/2 in a
6.983 * [backup-simplify]: Simplify 1/2 into 1/2
6.983 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
6.983 * [taylor]: Taking taylor expansion of (- (* a c)) in a
6.983 * [taylor]: Taking taylor expansion of (* a c) in a
6.983 * [taylor]: Taking taylor expansion of a in a
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 1 into 1
6.983 * [taylor]: Taking taylor expansion of c in a
6.983 * [backup-simplify]: Simplify c into c
6.983 * [backup-simplify]: Simplify (* 0 c) into 0
6.984 * [backup-simplify]: Simplify (- 0) into 0
6.985 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.985 * [backup-simplify]: Simplify (- c) into (- c)
6.985 * [backup-simplify]: Simplify (sqrt 0) into 0
6.985 * [backup-simplify]: Simplify (- c) into (- c)
6.986 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
6.986 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
6.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.988 * [backup-simplify]: Simplify (- 0) into 0
6.989 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
6.989 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
6.989 * [taylor]: Taking taylor expansion of (- +nan.0) in c
6.989 * [taylor]: Taking taylor expansion of +nan.0 in c
6.989 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.989 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.990 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.990 * [taylor]: Taking taylor expansion of 0 in c
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.995 * [backup-simplify]: Simplify (- 0) into 0
6.996 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
6.996 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
6.996 * [taylor]: Taking taylor expansion of +nan.0 in c
6.996 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.996 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.997 * [taylor]: Taking taylor expansion of c in c
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 1 into 1
6.997 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
6.999 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.999 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.000 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
7.001 * [backup-simplify]: Simplify (- 0) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
7.002 * [taylor]: Taking taylor expansion of 0 in a
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [taylor]: Taking taylor expansion of 0 in c
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.003 * [backup-simplify]: Simplify (- 0) into 0
7.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
7.005 * [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))
7.005 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
7.005 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
7.005 * [taylor]: Taking taylor expansion of +nan.0 in c
7.005 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.005 * [taylor]: Taking taylor expansion of c in c
7.005 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify 1 into 1
7.006 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.006 * [backup-simplify]: Simplify (- 0) into 0
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [taylor]: Taking taylor expansion of 0 in c
7.006 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.008 * [backup-simplify]: Simplify (- 0) into 0
7.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
7.008 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
7.008 * [taylor]: Taking taylor expansion of +nan.0 in c
7.008 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.008 * [taylor]: Taking taylor expansion of (pow c 3) in c
7.008 * [taylor]: Taking taylor expansion of c in c
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify 1 into 1
7.008 * [backup-simplify]: Simplify (- 0) into 0
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify 0 into 0
7.009 * [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)))))
7.009 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
7.009 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
7.009 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
7.009 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
7.009 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
7.009 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.009 * [taylor]: Taking taylor expansion of b_2 in c
7.009 * [backup-simplify]: Simplify b_2 into b_2
7.009 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.010 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.010 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.010 * [taylor]: Taking taylor expansion of (* a c) in c
7.010 * [taylor]: Taking taylor expansion of a in c
7.010 * [backup-simplify]: Simplify a into a
7.010 * [taylor]: Taking taylor expansion of c in c
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [backup-simplify]: Simplify (* a 0) into 0
7.010 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.010 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.010 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
7.010 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
7.010 * [backup-simplify]: Simplify (sqrt 0) into 0
7.011 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
7.011 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
7.011 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
7.011 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
7.011 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.011 * [taylor]: Taking taylor expansion of b_2 in a
7.011 * [backup-simplify]: Simplify b_2 into b_2
7.011 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.011 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.011 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.011 * [taylor]: Taking taylor expansion of (* a c) in a
7.011 * [taylor]: Taking taylor expansion of a in a
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [taylor]: Taking taylor expansion of c in a
7.011 * [backup-simplify]: Simplify c into c
7.011 * [backup-simplify]: Simplify (* 0 c) into 0
7.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.012 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.012 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
7.012 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
7.012 * [backup-simplify]: Simplify (sqrt 0) into 0
7.012 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
7.012 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.012 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.012 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.012 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.012 * [taylor]: Taking taylor expansion of b_2 in b_2
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.013 * [backup-simplify]: Simplify (* 1 1) into 1
7.013 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.013 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.013 * [taylor]: Taking taylor expansion of a in b_2
7.013 * [backup-simplify]: Simplify a into a
7.013 * [taylor]: Taking taylor expansion of c in b_2
7.013 * [backup-simplify]: Simplify c into c
7.013 * [backup-simplify]: Simplify (* a c) into (* a c)
7.013 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.014 * [backup-simplify]: Simplify (+ 1 0) into 1
7.014 * [backup-simplify]: Simplify (sqrt 1) into 1
7.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify (+ 0 0) into 0
7.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.016 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.016 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.016 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.016 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.016 * [taylor]: Taking taylor expansion of b_2 in b_2
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.016 * [backup-simplify]: Simplify (* 1 1) into 1
7.016 * [backup-simplify]: Simplify (/ 1 1) into 1
7.016 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.016 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.016 * [taylor]: Taking taylor expansion of a in b_2
7.016 * [backup-simplify]: Simplify a into a
7.016 * [taylor]: Taking taylor expansion of c in b_2
7.016 * [backup-simplify]: Simplify c into c
7.016 * [backup-simplify]: Simplify (* a c) into (* a c)
7.016 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.017 * [backup-simplify]: Simplify (+ 1 0) into 1
7.017 * [backup-simplify]: Simplify (sqrt 1) into 1
7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.018 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.019 * [taylor]: Taking taylor expansion of 1 in a
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [taylor]: Taking taylor expansion of 0 in a
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [taylor]: Taking taylor expansion of 1 in c
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
7.020 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
7.021 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
7.021 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
7.021 * [taylor]: Taking taylor expansion of -1/2 in a
7.021 * [backup-simplify]: Simplify -1/2 into -1/2
7.021 * [taylor]: Taking taylor expansion of (* a c) in a
7.021 * [taylor]: Taking taylor expansion of a in a
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [taylor]: Taking taylor expansion of c in a
7.021 * [backup-simplify]: Simplify c into c
7.021 * [backup-simplify]: Simplify (* 0 c) into 0
7.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.021 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
7.021 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
7.021 * [taylor]: Taking taylor expansion of -1/2 in c
7.021 * [backup-simplify]: Simplify -1/2 into -1/2
7.021 * [taylor]: Taking taylor expansion of c in c
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.022 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.022 * [backup-simplify]: Simplify -1/2 into -1/2
7.022 * [taylor]: Taking taylor expansion of 0 in c
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [taylor]: Taking taylor expansion of 0 in c
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 1 into 1
7.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.023 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
7.023 * [backup-simplify]: Simplify (- 0) into 0
7.024 * [backup-simplify]: Simplify (+ 0 0) into 0
7.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
7.024 * [taylor]: Taking taylor expansion of 0 in a
7.024 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.025 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
7.025 * [taylor]: Taking taylor expansion of 0 in c
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [taylor]: Taking taylor expansion of 0 in c
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [taylor]: Taking taylor expansion of 0 in c
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.027 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
7.027 * [backup-simplify]: Simplify (- 0) into 0
7.028 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
7.029 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
7.029 * [taylor]: Taking taylor expansion of -1/8 in a
7.029 * [backup-simplify]: Simplify -1/8 into -1/8
7.029 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
7.029 * [taylor]: Taking taylor expansion of (pow a 2) in a
7.029 * [taylor]: Taking taylor expansion of a in a
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.029 * [taylor]: Taking taylor expansion of c in a
7.029 * [backup-simplify]: Simplify c into c
7.029 * [backup-simplify]: Simplify (* 1 1) into 1
7.029 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.029 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
7.029 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
7.029 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
7.030 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.030 * [taylor]: Taking taylor expansion of 0 in c
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in c
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.031 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.031 * [taylor]: Taking taylor expansion of 0 in c
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in c
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in c
7.031 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [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)))
7.032 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
7.032 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
7.032 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
7.032 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
7.032 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
7.032 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.032 * [taylor]: Taking taylor expansion of b_2 in c
7.032 * [backup-simplify]: Simplify b_2 into b_2
7.032 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.032 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.032 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.032 * [taylor]: Taking taylor expansion of (* a c) in c
7.032 * [taylor]: Taking taylor expansion of a in c
7.032 * [backup-simplify]: Simplify a into a
7.032 * [taylor]: Taking taylor expansion of c in c
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 1 into 1
7.032 * [backup-simplify]: Simplify (* a 0) into 0
7.033 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.033 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.033 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
7.033 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
7.033 * [backup-simplify]: Simplify (sqrt 0) into 0
7.033 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
7.033 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
7.033 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
7.034 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
7.034 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.034 * [taylor]: Taking taylor expansion of b_2 in a
7.034 * [backup-simplify]: Simplify b_2 into b_2
7.034 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.034 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.034 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.034 * [taylor]: Taking taylor expansion of (* a c) in a
7.034 * [taylor]: Taking taylor expansion of a in a
7.034 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify 1 into 1
7.034 * [taylor]: Taking taylor expansion of c in a
7.034 * [backup-simplify]: Simplify c into c
7.034 * [backup-simplify]: Simplify (* 0 c) into 0
7.034 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.034 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.034 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
7.034 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
7.035 * [backup-simplify]: Simplify (sqrt 0) into 0
7.035 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
7.035 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.035 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.035 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.035 * [taylor]: Taking taylor expansion of b_2 in b_2
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 1 into 1
7.035 * [backup-simplify]: Simplify (* 1 1) into 1
7.035 * [backup-simplify]: Simplify (/ 1 1) into 1
7.036 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.036 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.036 * [taylor]: Taking taylor expansion of a in b_2
7.036 * [backup-simplify]: Simplify a into a
7.036 * [taylor]: Taking taylor expansion of c in b_2
7.036 * [backup-simplify]: Simplify c into c
7.036 * [backup-simplify]: Simplify (* a c) into (* a c)
7.036 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.036 * [backup-simplify]: Simplify (+ 1 0) into 1
7.036 * [backup-simplify]: Simplify (sqrt 1) into 1
7.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify (+ 0 0) into 0
7.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.038 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.038 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.038 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.038 * [taylor]: Taking taylor expansion of b_2 in b_2
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 1 into 1
7.038 * [backup-simplify]: Simplify (* 1 1) into 1
7.038 * [backup-simplify]: Simplify (/ 1 1) into 1
7.038 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.038 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.038 * [taylor]: Taking taylor expansion of a in b_2
7.038 * [backup-simplify]: Simplify a into a
7.038 * [taylor]: Taking taylor expansion of c in b_2
7.038 * [backup-simplify]: Simplify c into c
7.038 * [backup-simplify]: Simplify (* a c) into (* a c)
7.038 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.039 * [backup-simplify]: Simplify (+ 1 0) into 1
7.039 * [backup-simplify]: Simplify (sqrt 1) into 1
7.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.040 * [backup-simplify]: Simplify (+ 0 0) into 0
7.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.041 * [taylor]: Taking taylor expansion of 1 in a
7.041 * [backup-simplify]: Simplify 1 into 1
7.041 * [taylor]: Taking taylor expansion of 0 in a
7.041 * [backup-simplify]: Simplify 0 into 0
7.041 * [taylor]: Taking taylor expansion of 1 in c
7.041 * [backup-simplify]: Simplify 1 into 1
7.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
7.042 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
7.043 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
7.043 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
7.043 * [taylor]: Taking taylor expansion of -1/2 in a
7.043 * [backup-simplify]: Simplify -1/2 into -1/2
7.043 * [taylor]: Taking taylor expansion of (* a c) in a
7.043 * [taylor]: Taking taylor expansion of a in a
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.043 * [taylor]: Taking taylor expansion of c in a
7.043 * [backup-simplify]: Simplify c into c
7.043 * [backup-simplify]: Simplify (* 0 c) into 0
7.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.044 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
7.044 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
7.044 * [taylor]: Taking taylor expansion of -1/2 in c
7.044 * [backup-simplify]: Simplify -1/2 into -1/2
7.044 * [taylor]: Taking taylor expansion of c in c
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify 1 into 1
7.044 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.044 * [backup-simplify]: Simplify -1/2 into -1/2
7.044 * [taylor]: Taking taylor expansion of 0 in c
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [taylor]: Taking taylor expansion of 0 in c
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify 1 into 1
7.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.047 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
7.048 * [backup-simplify]: Simplify (- 0) into 0
7.048 * [backup-simplify]: Simplify (+ 0 0) into 0
7.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
7.049 * [taylor]: Taking taylor expansion of 0 in a
7.049 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.050 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
7.050 * [taylor]: Taking taylor expansion of 0 in c
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [taylor]: Taking taylor expansion of 0 in c
7.050 * [backup-simplify]: Simplify 0 into 0
7.051 * [taylor]: Taking taylor expansion of 0 in c
7.051 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.054 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
7.055 * [backup-simplify]: Simplify (- 0) into 0
7.056 * [backup-simplify]: Simplify (+ 0 0) into 0
7.057 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
7.057 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
7.057 * [taylor]: Taking taylor expansion of -1/8 in a
7.057 * [backup-simplify]: Simplify -1/8 into -1/8
7.057 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
7.057 * [taylor]: Taking taylor expansion of (pow a 2) in a
7.057 * [taylor]: Taking taylor expansion of a in a
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.057 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.057 * [taylor]: Taking taylor expansion of c in a
7.057 * [backup-simplify]: Simplify c into c
7.058 * [backup-simplify]: Simplify (* 1 1) into 1
7.058 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.058 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
7.058 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
7.058 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
7.060 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.060 * [taylor]: Taking taylor expansion of 0 in c
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [taylor]: Taking taylor expansion of 0 in c
7.060 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.061 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.062 * [taylor]: Taking taylor expansion of 0 in c
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [taylor]: Taking taylor expansion of 0 in c
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [taylor]: Taking taylor expansion of 0 in c
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [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)
7.062 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2)
7.063 * [backup-simplify]: Simplify (sqrt (- (* b_2 b_2) (* a c))) into (sqrt (- (pow b_2 2) (* a c)))
7.063 * [approximate]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in (b_2 a c) around 0
7.063 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in c
7.063 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
7.063 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.063 * [taylor]: Taking taylor expansion of b_2 in c
7.063 * [backup-simplify]: Simplify b_2 into b_2
7.063 * [taylor]: Taking taylor expansion of (* a c) in c
7.063 * [taylor]: Taking taylor expansion of a in c
7.063 * [backup-simplify]: Simplify a into a
7.063 * [taylor]: Taking taylor expansion of c in c
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.063 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.063 * [backup-simplify]: Simplify (* a 0) into 0
7.064 * [backup-simplify]: Simplify (- 0) into 0
7.064 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
7.064 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
7.064 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
7.065 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.065 * [backup-simplify]: Simplify (- a) into (- a)
7.065 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a)
7.065 * [backup-simplify]: Simplify (/ (- a) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ a b_2))
7.065 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in a
7.065 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
7.065 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.065 * [taylor]: Taking taylor expansion of b_2 in a
7.065 * [backup-simplify]: Simplify b_2 into b_2
7.065 * [taylor]: Taking taylor expansion of (* a c) in a
7.065 * [taylor]: Taking taylor expansion of a in a
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.065 * [taylor]: Taking taylor expansion of c in a
7.065 * [backup-simplify]: Simplify c into c
7.066 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.066 * [backup-simplify]: Simplify (* 0 c) into 0
7.066 * [backup-simplify]: Simplify (- 0) into 0
7.066 * [backup-simplify]: Simplify (+ (pow b_2 2) 0) into (pow b_2 2)
7.066 * [backup-simplify]: Simplify (sqrt (pow b_2 2)) into b_2
7.066 * [backup-simplify]: Simplify (+ (* b_2 0) (* 0 b_2)) into 0
7.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.067 * [backup-simplify]: Simplify (- c) into (- c)
7.067 * [backup-simplify]: Simplify (+ 0 (- c)) into (- c)
7.067 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt (pow b_2 2)))) into (* -1/2 (/ c b_2))
7.067 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
7.067 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
7.067 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.067 * [taylor]: Taking taylor expansion of b_2 in b_2
7.067 * [backup-simplify]: Simplify 0 into 0
7.067 * [backup-simplify]: Simplify 1 into 1
7.067 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.067 * [taylor]: Taking taylor expansion of a in b_2
7.067 * [backup-simplify]: Simplify a into a
7.067 * [taylor]: Taking taylor expansion of c in b_2
7.067 * [backup-simplify]: Simplify c into c
7.068 * [backup-simplify]: Simplify (* a c) into (* a c)
7.068 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
7.068 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
7.068 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
7.068 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.068 * [backup-simplify]: Simplify (- 0) into 0
7.069 * [backup-simplify]: Simplify (+ 0 0) into 0
7.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
7.069 * [taylor]: Taking taylor expansion of (sqrt (- (pow b_2 2) (* a c))) in b_2
7.069 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
7.069 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.069 * [taylor]: Taking taylor expansion of b_2 in b_2
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.069 * [taylor]: Taking taylor expansion of a in b_2
7.069 * [backup-simplify]: Simplify a into a
7.069 * [taylor]: Taking taylor expansion of c in b_2
7.069 * [backup-simplify]: Simplify c into c
7.069 * [backup-simplify]: Simplify (* a c) into (* a c)
7.069 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
7.069 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
7.070 * [backup-simplify]: Simplify (sqrt (- (* a c))) into (sqrt (- (* a c)))
7.070 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.070 * [backup-simplify]: Simplify (- 0) into 0
7.070 * [backup-simplify]: Simplify (+ 0 0) into 0
7.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (* a c))))) into 0
7.071 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
7.071 * [taylor]: Taking taylor expansion of (- (* a c)) in a
7.071 * [taylor]: Taking taylor expansion of (* a c) in a
7.071 * [taylor]: Taking taylor expansion of a in a
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 1 into 1
7.071 * [taylor]: Taking taylor expansion of c in a
7.071 * [backup-simplify]: Simplify c into c
7.071 * [backup-simplify]: Simplify (* 0 c) into 0
7.071 * [backup-simplify]: Simplify (- 0) into 0
7.071 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.071 * [backup-simplify]: Simplify (- c) into (- c)
7.071 * [backup-simplify]: Simplify (sqrt 0) into 0
7.071 * [backup-simplify]: Simplify (- c) into (- c)
7.072 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
7.072 * [taylor]: Taking taylor expansion of 0 in c
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [taylor]: Taking taylor expansion of 0 in a
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [taylor]: Taking taylor expansion of 0 in c
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
7.072 * [taylor]: Taking taylor expansion of +nan.0 in c
7.072 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.072 * [taylor]: Taking taylor expansion of c in c
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 1 into 1
7.072 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify (* 1 1) into 1
7.073 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.073 * [backup-simplify]: Simplify (- 0) into 0
7.073 * [backup-simplify]: Simplify (+ 1 0) into 1
7.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (* a c))))) into (/ 1/2 (sqrt (- (* a c))))
7.074 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (* a c)))) in a
7.074 * [taylor]: Taking taylor expansion of 1/2 in a
7.074 * [backup-simplify]: Simplify 1/2 into 1/2
7.074 * [taylor]: Taking taylor expansion of (sqrt (- (* a c))) in a
7.074 * [taylor]: Taking taylor expansion of (- (* a c)) in a
7.074 * [taylor]: Taking taylor expansion of (* a c) in a
7.074 * [taylor]: Taking taylor expansion of a in a
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.074 * [taylor]: Taking taylor expansion of c in a
7.074 * [backup-simplify]: Simplify c into c
7.074 * [backup-simplify]: Simplify (* 0 c) into 0
7.074 * [backup-simplify]: Simplify (- 0) into 0
7.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.075 * [backup-simplify]: Simplify (- c) into (- c)
7.075 * [backup-simplify]: Simplify (sqrt 0) into 0
7.075 * [backup-simplify]: Simplify (- c) into (- c)
7.075 * [backup-simplify]: Simplify (/ (- c) (* 2 (sqrt 0))) into (* +nan.0 c)
7.075 * [backup-simplify]: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c)
7.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.076 * [backup-simplify]: Simplify (- 0) into 0
7.077 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
7.077 * [backup-simplify]: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 2)) (* +nan.0 c))))) into (- +nan.0)
7.077 * [taylor]: Taking taylor expansion of (- +nan.0) in c
7.077 * [taylor]: Taking taylor expansion of +nan.0 in c
7.077 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.078 * [taylor]: Taking taylor expansion of 0 in c
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.078 * [backup-simplify]: Simplify (- 0) into 0
7.079 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 c) 2) (+)) (* 2 0)) into (* +nan.0 (pow c 2))
7.079 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 2)) in c
7.079 * [taylor]: Taking taylor expansion of +nan.0 in c
7.079 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.079 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.079 * [taylor]: Taking taylor expansion of c in c
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 1 into 1
7.079 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0)
7.080 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.080 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.081 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
7.081 * [backup-simplify]: Simplify (- 0) into 0
7.082 * [backup-simplify]: Simplify (+ 0 0) into 0
7.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* a c)))))))) (* 2 (sqrt (- (* a c))))) into 0
7.082 * [taylor]: Taking taylor expansion of 0 in a
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [taylor]: Taking taylor expansion of 0 in c
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.083 * [backup-simplify]: Simplify (- 0) into 0
7.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
7.084 * [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))
7.084 * [taylor]: Taking taylor expansion of (- (* +nan.0 c)) in c
7.084 * [taylor]: Taking taylor expansion of (* +nan.0 c) in c
7.084 * [taylor]: Taking taylor expansion of +nan.0 in c
7.084 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.084 * [taylor]: Taking taylor expansion of c in c
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.084 * [backup-simplify]: Simplify (- 0) into 0
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [taylor]: Taking taylor expansion of 0 in c
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.086 * [backup-simplify]: Simplify (- 0) into 0
7.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 2)))))) (* 2 0)) into (* +nan.0 (pow c 3))
7.086 * [taylor]: Taking taylor expansion of (* +nan.0 (pow c 3)) in c
7.086 * [taylor]: Taking taylor expansion of +nan.0 in c
7.086 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.086 * [taylor]: Taking taylor expansion of (pow c 3) in c
7.086 * [taylor]: Taking taylor expansion of c in c
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [backup-simplify]: Simplify (- 0) into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.087 * [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)))))
7.087 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c)))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
7.087 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
7.087 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
7.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
7.087 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.087 * [taylor]: Taking taylor expansion of b_2 in c
7.087 * [backup-simplify]: Simplify b_2 into b_2
7.087 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.088 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.088 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.088 * [taylor]: Taking taylor expansion of (* a c) in c
7.088 * [taylor]: Taking taylor expansion of a in c
7.088 * [backup-simplify]: Simplify a into a
7.088 * [taylor]: Taking taylor expansion of c in c
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (* a 0) into 0
7.088 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.088 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.088 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
7.088 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
7.088 * [backup-simplify]: Simplify (sqrt 0) into 0
7.089 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
7.089 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
7.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
7.089 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
7.089 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.089 * [taylor]: Taking taylor expansion of b_2 in a
7.089 * [backup-simplify]: Simplify b_2 into b_2
7.089 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.089 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.089 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.089 * [taylor]: Taking taylor expansion of (* a c) in a
7.089 * [taylor]: Taking taylor expansion of a in a
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 1 into 1
7.089 * [taylor]: Taking taylor expansion of c in a
7.089 * [backup-simplify]: Simplify c into c
7.089 * [backup-simplify]: Simplify (* 0 c) into 0
7.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.089 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.089 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
7.090 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
7.090 * [backup-simplify]: Simplify (sqrt 0) into 0
7.090 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
7.090 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.090 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.090 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.090 * [taylor]: Taking taylor expansion of b_2 in b_2
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [backup-simplify]: Simplify (* 1 1) into 1
7.091 * [backup-simplify]: Simplify (/ 1 1) into 1
7.091 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.091 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.091 * [taylor]: Taking taylor expansion of a in b_2
7.091 * [backup-simplify]: Simplify a into a
7.091 * [taylor]: Taking taylor expansion of c in b_2
7.091 * [backup-simplify]: Simplify c into c
7.091 * [backup-simplify]: Simplify (* a c) into (* a c)
7.091 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.091 * [backup-simplify]: Simplify (+ 1 0) into 1
7.091 * [backup-simplify]: Simplify (sqrt 1) into 1
7.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (+ 0 0) into 0
7.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.093 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.093 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.093 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.093 * [taylor]: Taking taylor expansion of b_2 in b_2
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* 1 1) into 1
7.093 * [backup-simplify]: Simplify (/ 1 1) into 1
7.093 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.093 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.094 * [taylor]: Taking taylor expansion of a in b_2
7.094 * [backup-simplify]: Simplify a into a
7.094 * [taylor]: Taking taylor expansion of c in b_2
7.094 * [backup-simplify]: Simplify c into c
7.094 * [backup-simplify]: Simplify (* a c) into (* a c)
7.094 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.094 * [backup-simplify]: Simplify (+ 1 0) into 1
7.094 * [backup-simplify]: Simplify (sqrt 1) into 1
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.095 * [backup-simplify]: Simplify (+ 0 0) into 0
7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.096 * [taylor]: Taking taylor expansion of 1 in a
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [taylor]: Taking taylor expansion of 0 in a
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [taylor]: Taking taylor expansion of 1 in c
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.097 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
7.097 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
7.098 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
7.098 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
7.098 * [taylor]: Taking taylor expansion of -1/2 in a
7.098 * [backup-simplify]: Simplify -1/2 into -1/2
7.098 * [taylor]: Taking taylor expansion of (* a c) in a
7.098 * [taylor]: Taking taylor expansion of a in a
7.098 * [backup-simplify]: Simplify 0 into 0
7.098 * [backup-simplify]: Simplify 1 into 1
7.098 * [taylor]: Taking taylor expansion of c in a
7.098 * [backup-simplify]: Simplify c into c
7.098 * [backup-simplify]: Simplify (* 0 c) into 0
7.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.099 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
7.099 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
7.099 * [taylor]: Taking taylor expansion of -1/2 in c
7.099 * [backup-simplify]: Simplify -1/2 into -1/2
7.099 * [taylor]: Taking taylor expansion of c in c
7.099 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify 1 into 1
7.099 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.099 * [backup-simplify]: Simplify -1/2 into -1/2
7.099 * [taylor]: Taking taylor expansion of 0 in c
7.099 * [backup-simplify]: Simplify 0 into 0
7.100 * [taylor]: Taking taylor expansion of 0 in c
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.102 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
7.102 * [backup-simplify]: Simplify (- 0) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
7.103 * [taylor]: Taking taylor expansion of 0 in a
7.103 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.104 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
7.104 * [taylor]: Taking taylor expansion of 0 in c
7.104 * [backup-simplify]: Simplify 0 into 0
7.105 * [taylor]: Taking taylor expansion of 0 in c
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [taylor]: Taking taylor expansion of 0 in c
7.105 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 0 into 0
7.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.109 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
7.109 * [backup-simplify]: Simplify (- 0) into 0
7.114 * [backup-simplify]: Simplify (+ 0 0) into 0
7.115 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
7.115 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
7.115 * [taylor]: Taking taylor expansion of -1/8 in a
7.115 * [backup-simplify]: Simplify -1/8 into -1/8
7.115 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
7.115 * [taylor]: Taking taylor expansion of (pow a 2) in a
7.115 * [taylor]: Taking taylor expansion of a in a
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.115 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.115 * [taylor]: Taking taylor expansion of c in a
7.116 * [backup-simplify]: Simplify c into c
7.116 * [backup-simplify]: Simplify (* 1 1) into 1
7.116 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.116 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
7.116 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
7.116 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
7.118 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.118 * [taylor]: Taking taylor expansion of 0 in c
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [taylor]: Taking taylor expansion of 0 in c
7.118 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.120 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.120 * [taylor]: Taking taylor expansion of 0 in c
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [taylor]: Taking taylor expansion of 0 in c
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [taylor]: Taking taylor expansion of 0 in c
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [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)))
7.121 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c))))) into (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c))))
7.121 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in (b_2 a c) around 0
7.121 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in c
7.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
7.121 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
7.121 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.121 * [taylor]: Taking taylor expansion of b_2 in c
7.121 * [backup-simplify]: Simplify b_2 into b_2
7.121 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.121 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.121 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.121 * [taylor]: Taking taylor expansion of (* a c) in c
7.121 * [taylor]: Taking taylor expansion of a in c
7.121 * [backup-simplify]: Simplify a into a
7.121 * [taylor]: Taking taylor expansion of c in c
7.121 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify 1 into 1
7.121 * [backup-simplify]: Simplify (* a 0) into 0
7.122 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.122 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.122 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a))
7.122 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a))
7.122 * [backup-simplify]: Simplify (sqrt 0) into 0
7.123 * [backup-simplify]: Simplify (/ (- (/ 1 a)) (* 2 (sqrt 0))) into (/ +nan.0 a)
7.123 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in a
7.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
7.123 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
7.123 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.123 * [taylor]: Taking taylor expansion of b_2 in a
7.123 * [backup-simplify]: Simplify b_2 into b_2
7.123 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.123 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.123 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.123 * [taylor]: Taking taylor expansion of (* a c) in a
7.123 * [taylor]: Taking taylor expansion of a in a
7.123 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 1 into 1
7.124 * [taylor]: Taking taylor expansion of c in a
7.124 * [backup-simplify]: Simplify c into c
7.124 * [backup-simplify]: Simplify (* 0 c) into 0
7.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.124 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.124 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
7.124 * [backup-simplify]: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c))
7.125 * [backup-simplify]: Simplify (sqrt 0) into 0
7.125 * [backup-simplify]: Simplify (/ (- (/ 1 c)) (* 2 (sqrt 0))) into (/ +nan.0 c)
7.125 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.125 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.125 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.125 * [taylor]: Taking taylor expansion of b_2 in b_2
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.126 * [backup-simplify]: Simplify (* 1 1) into 1
7.126 * [backup-simplify]: Simplify (/ 1 1) into 1
7.126 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.126 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.126 * [taylor]: Taking taylor expansion of a in b_2
7.126 * [backup-simplify]: Simplify a into a
7.126 * [taylor]: Taking taylor expansion of c in b_2
7.126 * [backup-simplify]: Simplify c into c
7.126 * [backup-simplify]: Simplify (* a c) into (* a c)
7.127 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.127 * [backup-simplify]: Simplify (+ 1 0) into 1
7.127 * [backup-simplify]: Simplify (sqrt 1) into 1
7.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.129 * [backup-simplify]: Simplify (+ 0 0) into 0
7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.130 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))) in b_2
7.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.130 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.130 * [taylor]: Taking taylor expansion of b_2 in b_2
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (* 1 1) into 1
7.131 * [backup-simplify]: Simplify (/ 1 1) into 1
7.131 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.131 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.131 * [taylor]: Taking taylor expansion of a in b_2
7.131 * [backup-simplify]: Simplify a into a
7.131 * [taylor]: Taking taylor expansion of c in b_2
7.131 * [backup-simplify]: Simplify c into c
7.131 * [backup-simplify]: Simplify (* a c) into (* a c)
7.131 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.131 * [backup-simplify]: Simplify (+ 1 0) into 1
7.132 * [backup-simplify]: Simplify (sqrt 1) into 1
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (+ 0 0) into 0
7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.134 * [taylor]: Taking taylor expansion of 1 in a
7.134 * [backup-simplify]: Simplify 1 into 1
7.134 * [taylor]: Taking taylor expansion of 0 in a
7.134 * [backup-simplify]: Simplify 0 into 0
7.135 * [taylor]: Taking taylor expansion of 1 in c
7.135 * [backup-simplify]: Simplify 1 into 1
7.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.136 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
7.137 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
7.138 * [backup-simplify]: Simplify (/ (- (- (/ 1 (* a c))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (* a c))
7.138 * [taylor]: Taking taylor expansion of (/ -1/2 (* a c)) in a
7.138 * [taylor]: Taking taylor expansion of -1/2 in a
7.138 * [backup-simplify]: Simplify -1/2 into -1/2
7.138 * [taylor]: Taking taylor expansion of (* a c) in a
7.138 * [taylor]: Taking taylor expansion of a in a
7.138 * [backup-simplify]: Simplify 0 into 0
7.138 * [backup-simplify]: Simplify 1 into 1
7.138 * [taylor]: Taking taylor expansion of c in a
7.138 * [backup-simplify]: Simplify c into c
7.138 * [backup-simplify]: Simplify (* 0 c) into 0
7.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.139 * [backup-simplify]: Simplify (/ -1/2 c) into (/ -1/2 c)
7.139 * [taylor]: Taking taylor expansion of (/ -1/2 c) in c
7.139 * [taylor]: Taking taylor expansion of -1/2 in c
7.139 * [backup-simplify]: Simplify -1/2 into -1/2
7.139 * [taylor]: Taking taylor expansion of c in c
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 1 into 1
7.139 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.139 * [backup-simplify]: Simplify -1/2 into -1/2
7.139 * [taylor]: Taking taylor expansion of 0 in c
7.140 * [backup-simplify]: Simplify 0 into 0
7.140 * [taylor]: Taking taylor expansion of 0 in c
7.140 * [backup-simplify]: Simplify 0 into 0
7.140 * [backup-simplify]: Simplify 1 into 1
7.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.142 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
7.142 * [backup-simplify]: Simplify (- 0) into 0
7.143 * [backup-simplify]: Simplify (+ 0 0) into 0
7.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (* a c)))))) (* 2 1)) into 0
7.143 * [taylor]: Taking taylor expansion of 0 in a
7.143 * [backup-simplify]: Simplify 0 into 0
7.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.144 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)))) into 0
7.144 * [taylor]: Taking taylor expansion of 0 in c
7.144 * [backup-simplify]: Simplify 0 into 0
7.145 * [taylor]: Taking taylor expansion of 0 in c
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [taylor]: Taking taylor expansion of 0 in c
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.148 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
7.149 * [backup-simplify]: Simplify (- 0) into 0
7.149 * [backup-simplify]: Simplify (+ 0 0) into 0
7.151 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (* a c)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (* (pow a 2) (pow c 2)))
7.151 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow a 2) (pow c 2))) in a
7.151 * [taylor]: Taking taylor expansion of -1/8 in a
7.151 * [backup-simplify]: Simplify -1/8 into -1/8
7.151 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow c 2)) in a
7.151 * [taylor]: Taking taylor expansion of (pow a 2) in a
7.151 * [taylor]: Taking taylor expansion of a in a
7.151 * [backup-simplify]: Simplify 0 into 0
7.151 * [backup-simplify]: Simplify 1 into 1
7.151 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.151 * [taylor]: Taking taylor expansion of c in a
7.151 * [backup-simplify]: Simplify c into c
7.152 * [backup-simplify]: Simplify (* 1 1) into 1
7.152 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.152 * [backup-simplify]: Simplify (* 1 (pow c 2)) into (pow c 2)
7.152 * [backup-simplify]: Simplify (/ -1/8 (pow c 2)) into (/ -1/8 (pow c 2))
7.152 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow c 2))) into 0
7.154 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ -1/8 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.154 * [taylor]: Taking taylor expansion of 0 in c
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [taylor]: Taking taylor expansion of 0 in c
7.154 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.156 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ -1/2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.156 * [taylor]: Taking taylor expansion of 0 in c
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [taylor]: Taking taylor expansion of 0 in c
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [taylor]: Taking taylor expansion of 0 in c
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [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)
7.156 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1)
7.157 * [backup-simplify]: Simplify (- (* b_2 b_2) (* a c)) into (- (pow b_2 2) (* a c))
7.157 * [approximate]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in (b_2 a c) around 0
7.157 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in c
7.157 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.157 * [taylor]: Taking taylor expansion of b_2 in c
7.157 * [backup-simplify]: Simplify b_2 into b_2
7.157 * [taylor]: Taking taylor expansion of (* a c) in c
7.157 * [taylor]: Taking taylor expansion of a in c
7.157 * [backup-simplify]: Simplify a into a
7.157 * [taylor]: Taking taylor expansion of c in c
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.157 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in a
7.157 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.157 * [taylor]: Taking taylor expansion of b_2 in a
7.157 * [backup-simplify]: Simplify b_2 into b_2
7.157 * [taylor]: Taking taylor expansion of (* a c) in a
7.157 * [taylor]: Taking taylor expansion of a in a
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.157 * [taylor]: Taking taylor expansion of c in a
7.157 * [backup-simplify]: Simplify c into c
7.157 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
7.157 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.157 * [taylor]: Taking taylor expansion of b_2 in b_2
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.157 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.157 * [taylor]: Taking taylor expansion of a in b_2
7.157 * [backup-simplify]: Simplify a into a
7.157 * [taylor]: Taking taylor expansion of c in b_2
7.158 * [backup-simplify]: Simplify c into c
7.158 * [taylor]: Taking taylor expansion of (- (pow b_2 2) (* a c)) in b_2
7.158 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.158 * [taylor]: Taking taylor expansion of b_2 in b_2
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.158 * [taylor]: Taking taylor expansion of a in b_2
7.158 * [backup-simplify]: Simplify a into a
7.158 * [taylor]: Taking taylor expansion of c in b_2
7.158 * [backup-simplify]: Simplify c into c
7.158 * [backup-simplify]: Simplify (* a c) into (* a c)
7.158 * [backup-simplify]: Simplify (- (* a c)) into (- (* a c))
7.158 * [backup-simplify]: Simplify (+ 0 (- (* a c))) into (- (* a c))
7.158 * [taylor]: Taking taylor expansion of (- (* a c)) in a
7.158 * [taylor]: Taking taylor expansion of (* a c) in a
7.158 * [taylor]: Taking taylor expansion of a in a
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [taylor]: Taking taylor expansion of c in a
7.158 * [backup-simplify]: Simplify c into c
7.158 * [backup-simplify]: Simplify (* 0 c) into 0
7.159 * [backup-simplify]: Simplify (- 0) into 0
7.159 * [taylor]: Taking taylor expansion of 0 in c
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.159 * [backup-simplify]: Simplify (- 0) into 0
7.160 * [backup-simplify]: Simplify (+ 0 0) into 0
7.160 * [taylor]: Taking taylor expansion of 0 in a
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [taylor]: Taking taylor expansion of 0 in c
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.160 * [backup-simplify]: Simplify (- c) into (- c)
7.160 * [taylor]: Taking taylor expansion of (- c) in c
7.160 * [taylor]: Taking taylor expansion of c in c
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 1 into 1
7.161 * [backup-simplify]: Simplify (- 0) into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify (* 1 1) into 1
7.162 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.162 * [backup-simplify]: Simplify (- 0) into 0
7.163 * [backup-simplify]: Simplify (+ 1 0) into 1
7.163 * [taylor]: Taking taylor expansion of 1 in a
7.163 * [backup-simplify]: Simplify 1 into 1
7.163 * [taylor]: Taking taylor expansion of 1 in c
7.163 * [backup-simplify]: Simplify 1 into 1
7.163 * [backup-simplify]: Simplify 1 into 1
7.163 * [taylor]: Taking taylor expansion of 0 in c
7.163 * [backup-simplify]: Simplify 0 into 0
7.163 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.164 * [backup-simplify]: Simplify (- 0) into 0
7.164 * [taylor]: Taking taylor expansion of 0 in c
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify (- 1) into -1
7.165 * [backup-simplify]: Simplify -1 into -1
7.165 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.166 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
7.167 * [backup-simplify]: Simplify (- 0) into 0
7.167 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [taylor]: Taking taylor expansion of 0 in a
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [taylor]: Taking taylor expansion of 0 in c
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [taylor]: Taking taylor expansion of 0 in c
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [taylor]: Taking taylor expansion of 0 in c
7.167 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.169 * [backup-simplify]: Simplify (- 0) into 0
7.169 * [taylor]: Taking taylor expansion of 0 in c
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 0 into 0
7.170 * [backup-simplify]: Simplify (+ (* -1 (* c (* a 1))) (* 1 (pow (* 1 (* 1 b_2)) 2))) into (- (pow b_2 2) (* a c))
7.170 * [backup-simplify]: Simplify (- (* (/ 1 b_2) (/ 1 b_2)) (* (/ 1 a) (/ 1 c))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
7.170 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
7.170 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
7.170 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
7.170 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.170 * [taylor]: Taking taylor expansion of b_2 in c
7.170 * [backup-simplify]: Simplify b_2 into b_2
7.170 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.170 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.170 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.170 * [taylor]: Taking taylor expansion of (* a c) in c
7.170 * [taylor]: Taking taylor expansion of a in c
7.170 * [backup-simplify]: Simplify a into a
7.170 * [taylor]: Taking taylor expansion of c in c
7.170 * [backup-simplify]: Simplify 0 into 0
7.170 * [backup-simplify]: Simplify 1 into 1
7.170 * [backup-simplify]: Simplify (* a 0) into 0
7.171 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.171 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
7.171 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
7.171 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.171 * [taylor]: Taking taylor expansion of b_2 in a
7.171 * [backup-simplify]: Simplify b_2 into b_2
7.171 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.171 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.171 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.171 * [taylor]: Taking taylor expansion of (* a c) in a
7.171 * [taylor]: Taking taylor expansion of a in a
7.171 * [backup-simplify]: Simplify 0 into 0
7.171 * [backup-simplify]: Simplify 1 into 1
7.171 * [taylor]: Taking taylor expansion of c in a
7.171 * [backup-simplify]: Simplify c into c
7.172 * [backup-simplify]: Simplify (* 0 c) into 0
7.172 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.172 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.172 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.172 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.172 * [taylor]: Taking taylor expansion of b_2 in b_2
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify 1 into 1
7.173 * [backup-simplify]: Simplify (* 1 1) into 1
7.173 * [backup-simplify]: Simplify (/ 1 1) into 1
7.173 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.173 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.173 * [taylor]: Taking taylor expansion of a in b_2
7.173 * [backup-simplify]: Simplify a into a
7.173 * [taylor]: Taking taylor expansion of c in b_2
7.173 * [backup-simplify]: Simplify c into c
7.173 * [backup-simplify]: Simplify (* a c) into (* a c)
7.174 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.174 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.174 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.174 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.174 * [taylor]: Taking taylor expansion of b_2 in b_2
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 1 into 1
7.174 * [backup-simplify]: Simplify (* 1 1) into 1
7.175 * [backup-simplify]: Simplify (/ 1 1) into 1
7.175 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.175 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.175 * [taylor]: Taking taylor expansion of a in b_2
7.175 * [backup-simplify]: Simplify a into a
7.175 * [taylor]: Taking taylor expansion of c in b_2
7.175 * [backup-simplify]: Simplify c into c
7.175 * [backup-simplify]: Simplify (* a c) into (* a c)
7.175 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.175 * [backup-simplify]: Simplify (+ 1 0) into 1
7.175 * [taylor]: Taking taylor expansion of 1 in a
7.175 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.177 * [backup-simplify]: Simplify (+ 0 0) into 0
7.177 * [taylor]: Taking taylor expansion of 0 in a
7.177 * [backup-simplify]: Simplify 0 into 0
7.177 * [taylor]: Taking taylor expansion of 1 in c
7.177 * [backup-simplify]: Simplify 1 into 1
7.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.179 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
7.180 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
7.180 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
7.180 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.180 * [taylor]: Taking taylor expansion of (* a c) in a
7.180 * [taylor]: Taking taylor expansion of a in a
7.180 * [backup-simplify]: Simplify 0 into 0
7.180 * [backup-simplify]: Simplify 1 into 1
7.180 * [taylor]: Taking taylor expansion of c in a
7.180 * [backup-simplify]: Simplify c into c
7.180 * [backup-simplify]: Simplify (* 0 c) into 0
7.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.180 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.180 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
7.181 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
7.181 * [taylor]: Taking taylor expansion of (/ 1 c) in c
7.181 * [taylor]: Taking taylor expansion of c in c
7.181 * [backup-simplify]: Simplify 0 into 0
7.181 * [backup-simplify]: Simplify 1 into 1
7.181 * [backup-simplify]: Simplify (/ 1 1) into 1
7.181 * [backup-simplify]: Simplify (- 1) into -1
7.181 * [backup-simplify]: Simplify -1 into -1
7.181 * [taylor]: Taking taylor expansion of 0 in c
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [taylor]: Taking taylor expansion of 0 in c
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify 1 into 1
7.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
7.184 * [backup-simplify]: Simplify (- 0) into 0
7.185 * [backup-simplify]: Simplify (+ 0 0) into 0
7.185 * [taylor]: Taking taylor expansion of 0 in a
7.185 * [backup-simplify]: Simplify 0 into 0
7.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
7.186 * [backup-simplify]: Simplify (- 0) into 0
7.186 * [taylor]: Taking taylor expansion of 0 in c
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [taylor]: Taking taylor expansion of 0 in c
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [taylor]: Taking taylor expansion of 0 in c
7.186 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.188 * [backup-simplify]: Simplify (- 0) into 0
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.190 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
7.191 * [backup-simplify]: Simplify (- 0) into 0
7.192 * [backup-simplify]: Simplify (+ 0 0) into 0
7.192 * [taylor]: Taking taylor expansion of 0 in a
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [taylor]: Taking taylor expansion of 0 in c
7.192 * [backup-simplify]: Simplify 0 into 0
7.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.193 * [backup-simplify]: Simplify (- 0) into 0
7.194 * [taylor]: Taking taylor expansion of 0 in c
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [taylor]: Taking taylor expansion of 0 in c
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [taylor]: Taking taylor expansion of 0 in c
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [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))
7.195 * [backup-simplify]: Simplify (- (* (/ 1 (- b_2)) (/ 1 (- b_2))) (* (/ 1 (- a)) (/ 1 (- c)))) into (- (/ 1 (pow b_2 2)) (/ 1 (* a c)))
7.195 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in (b_2 a c) around 0
7.195 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in c
7.195 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in c
7.195 * [taylor]: Taking taylor expansion of (pow b_2 2) in c
7.195 * [taylor]: Taking taylor expansion of b_2 in c
7.195 * [backup-simplify]: Simplify b_2 into b_2
7.195 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.195 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.195 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.195 * [taylor]: Taking taylor expansion of (* a c) in c
7.195 * [taylor]: Taking taylor expansion of a in c
7.195 * [backup-simplify]: Simplify a into a
7.195 * [taylor]: Taking taylor expansion of c in c
7.195 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify 1 into 1
7.196 * [backup-simplify]: Simplify (* a 0) into 0
7.196 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.196 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.196 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in a
7.196 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in a
7.196 * [taylor]: Taking taylor expansion of (pow b_2 2) in a
7.196 * [taylor]: Taking taylor expansion of b_2 in a
7.196 * [backup-simplify]: Simplify b_2 into b_2
7.196 * [backup-simplify]: Simplify (* b_2 b_2) into (pow b_2 2)
7.196 * [backup-simplify]: Simplify (/ 1 (pow b_2 2)) into (/ 1 (pow b_2 2))
7.196 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.196 * [taylor]: Taking taylor expansion of (* a c) in a
7.197 * [taylor]: Taking taylor expansion of a in a
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.197 * [taylor]: Taking taylor expansion of c in a
7.197 * [backup-simplify]: Simplify c into c
7.197 * [backup-simplify]: Simplify (* 0 c) into 0
7.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.197 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.197 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.197 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.197 * [taylor]: Taking taylor expansion of b_2 in b_2
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.198 * [backup-simplify]: Simplify (* 1 1) into 1
7.198 * [backup-simplify]: Simplify (/ 1 1) into 1
7.198 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.198 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.198 * [taylor]: Taking taylor expansion of a in b_2
7.198 * [backup-simplify]: Simplify a into a
7.198 * [taylor]: Taking taylor expansion of c in b_2
7.198 * [backup-simplify]: Simplify c into c
7.198 * [backup-simplify]: Simplify (* a c) into (* a c)
7.198 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b_2 2)) (/ 1 (* a c))) in b_2
7.199 * [taylor]: Taking taylor expansion of (/ 1 (pow b_2 2)) in b_2
7.199 * [taylor]: Taking taylor expansion of (pow b_2 2) in b_2
7.199 * [taylor]: Taking taylor expansion of b_2 in b_2
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify 1 into 1
7.199 * [backup-simplify]: Simplify (* 1 1) into 1
7.199 * [backup-simplify]: Simplify (/ 1 1) into 1
7.199 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b_2
7.199 * [taylor]: Taking taylor expansion of (* a c) in b_2
7.199 * [taylor]: Taking taylor expansion of a in b_2
7.200 * [backup-simplify]: Simplify a into a
7.200 * [taylor]: Taking taylor expansion of c in b_2
7.200 * [backup-simplify]: Simplify c into c
7.200 * [backup-simplify]: Simplify (* a c) into (* a c)
7.200 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.200 * [backup-simplify]: Simplify (+ 1 0) into 1
7.200 * [taylor]: Taking taylor expansion of 1 in a
7.200 * [backup-simplify]: Simplify 1 into 1
7.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.202 * [backup-simplify]: Simplify (+ 0 0) into 0
7.202 * [taylor]: Taking taylor expansion of 0 in a
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [taylor]: Taking taylor expansion of 1 in c
7.202 * [backup-simplify]: Simplify 1 into 1
7.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.204 * [backup-simplify]: Simplify (- (/ 1 (* a c))) into (- (/ 1 (* a c)))
7.204 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* a c)))) into (- (/ 1 (* a c)))
7.204 * [taylor]: Taking taylor expansion of (- (/ 1 (* a c))) in a
7.204 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.204 * [taylor]: Taking taylor expansion of (* a c) in a
7.205 * [taylor]: Taking taylor expansion of a in a
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 1 into 1
7.205 * [taylor]: Taking taylor expansion of c in a
7.205 * [backup-simplify]: Simplify c into c
7.205 * [backup-simplify]: Simplify (* 0 c) into 0
7.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.205 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.205 * [backup-simplify]: Simplify (- (/ 1 c)) into (- (/ 1 c))
7.205 * [taylor]: Taking taylor expansion of (- (/ 1 c)) in c
7.205 * [taylor]: Taking taylor expansion of (/ 1 c) in c
7.206 * [taylor]: Taking taylor expansion of c in c
7.206 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify 1 into 1
7.206 * [backup-simplify]: Simplify (/ 1 1) into 1
7.206 * [backup-simplify]: Simplify (- 1) into -1
7.206 * [backup-simplify]: Simplify -1 into -1
7.207 * [taylor]: Taking taylor expansion of 0 in c
7.207 * [backup-simplify]: Simplify 0 into 0
7.207 * [taylor]: Taking taylor expansion of 0 in c
7.207 * [backup-simplify]: Simplify 0 into 0
7.207 * [backup-simplify]: Simplify 1 into 1
7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.209 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
7.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
7.209 * [backup-simplify]: Simplify (- 0) into 0
7.210 * [backup-simplify]: Simplify (+ 0 0) into 0
7.210 * [taylor]: Taking taylor expansion of 0 in a
7.210 * [backup-simplify]: Simplify 0 into 0
7.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
7.211 * [backup-simplify]: Simplify (- 0) into 0
7.211 * [taylor]: Taking taylor expansion of 0 in c
7.211 * [backup-simplify]: Simplify 0 into 0
7.211 * [taylor]: Taking taylor expansion of 0 in c
7.211 * [backup-simplify]: Simplify 0 into 0
7.211 * [taylor]: Taking taylor expansion of 0 in c
7.211 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.213 * [backup-simplify]: Simplify (- 0) into 0
7.213 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.215 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
7.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
7.216 * [backup-simplify]: Simplify (- 0) into 0
7.217 * [backup-simplify]: Simplify (+ 0 0) into 0
7.217 * [taylor]: Taking taylor expansion of 0 in a
7.217 * [backup-simplify]: Simplify 0 into 0
7.217 * [taylor]: Taking taylor expansion of 0 in c
7.217 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.219 * [backup-simplify]: Simplify (- 0) into 0
7.219 * [taylor]: Taking taylor expansion of 0 in c
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [taylor]: Taking taylor expansion of 0 in c
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [taylor]: Taking taylor expansion of 0 in c
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [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))
7.220 * * * [progress]: simplifying candidates
7.222 * [simplify]: Simplifying:
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (fma b_2 b_2 (- (* c a)))
  (fma (- c) a (* c a))
  (expm1 (- (* b_2 b_2) (* a c)))
  (log1p (- (* b_2 b_2) (* a c)))
  (- (* 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))
  (- (+ (* +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)) (- (* +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)) (- (* +nan.0 (* a c)))))
  (- b_2 (* 1/2 (/ (* a c) b_2)))
  (- (* 1/2 (/ (* a c) b_2)) b_2)
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
  (- (pow b_2 2) (* a c))
7.224 * * [simplify]: iteration 0: 67 enodes
7.254 * * [simplify]: iteration 1: 161 enodes
7.336 * * [simplify]: iteration 2: 455 enodes
7.636 * * [simplify]: iteration 3: 1495 enodes
9.353 * * [simplify]: iteration complete: 5000 enodes
9.353 * * [simplify]: Extracting #0: cost 34 inf + 0
9.354 * * [simplify]: Extracting #1: cost 260 inf + 2
9.363 * * [simplify]: Extracting #2: cost 1248 inf + 5022
9.398 * * [simplify]: Extracting #3: cost 675 inf + 82634
9.474 * * [simplify]: Extracting #4: cost 219 inf + 175353
9.563 * * [simplify]: Extracting #5: cost 17 inf + 234951
9.661 * * [simplify]: Extracting #6: cost 0 inf + 241471
9.756 * [simplify]: Simplified to:
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (* (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma a c (* b_2 b_2)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (* (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma a c (* b_2 b_2)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (expm1 (sqrt (- (* b_2 b_2) (* a c))))
  (log1p (sqrt (- (* b_2 b_2) (* a c))))
  (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))))
  (* (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
  (fabs (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))))
  1
  (sqrt (- (* b_2 b_2) (* a c)))
  (sqrt (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c))))
  (sqrt (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2)))))
  (sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
  (sqrt (fma a c (* b_2 b_2)))
  1/2
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (sqrt (sqrt (- (* b_2 b_2) (* a c))))
  (- (* b_2 b_2) (* a c))
  (* a (+ c (- c)))
  (expm1 (- (* b_2 b_2) (* a c)))
  (log1p (- (* b_2 b_2) (* a c)))
  (- (* a c))
  (exp (- (* b_2 b_2) (* 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)))
  (- (* (* b_2 b_2) (* (* b_2 b_2) (* b_2 b_2))) (* (* (* a c) (* a c)) (* a c)))
  (fma (* b_2 b_2) (* b_2 b_2) (* (* a c) (+ (* a c) (* b_2 b_2))))
  (- (* a c))
  (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c)))
  (fma a c (* b_2 b_2))
  (- (* a c))
  (* (- +nan.0) (- (* b_2 b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ 1/2 (/ (/ b_2 a) c)) b_2)
  (* (- +nan.0) (- (* b_2 b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ 1/2 (/ (/ b_2 a) c)) b_2)
  (* (- +nan.0) (- (* b_2 b_2) (* a c)))
  (fma (/ (* a c) b_2) -1/2 b_2)
  (- (/ 1/2 (/ (/ b_2 a) c)) b_2)
  (- (* b_2 b_2) (* a c))
  (- (* b_2 b_2) (* a c))
  (- (* b_2 b_2) (* a c))
9.773 * * * [progress]: adding candidates to table
10.534 * * [progress]: iteration 4 / 4
10.534 * * * [progress]: picking best candidate
10.573 * * * * [pick]: Picked  #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))>
10.573 * * * [progress]: localizing error
10.581 * * * [progress]: generating rewritten candidates
10.582 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
10.610 * * * [progress]: generating series expansions
10.610 * * * * [progress]: [ 1 / 1 ] generating series at (2)
10.610 * [backup-simplify]: Simplify (* -1/2 (/ c b_2)) into (* -1/2 (/ c b_2))
10.610 * [approximate]: Taking taylor expansion of (* -1/2 (/ c b_2)) in (c b_2) around 0
10.610 * [taylor]: Taking taylor expansion of (* -1/2 (/ c b_2)) in b_2
10.610 * [taylor]: Taking taylor expansion of -1/2 in b_2
10.610 * [backup-simplify]: Simplify -1/2 into -1/2
10.610 * [taylor]: Taking taylor expansion of (/ c b_2) in b_2
10.610 * [taylor]: Taking taylor expansion of c in b_2
10.611 * [backup-simplify]: Simplify c into c
10.611 * [taylor]: Taking taylor expansion of b_2 in b_2
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify 1 into 1
10.611 * [backup-simplify]: Simplify (/ c 1) into c
10.611 * [taylor]: Taking taylor expansion of (* -1/2 (/ c b_2)) in c
10.611 * [taylor]: Taking taylor expansion of -1/2 in c
10.611 * [backup-simplify]: Simplify -1/2 into -1/2
10.611 * [taylor]: Taking taylor expansion of (/ c b_2) in c
10.611 * [taylor]: Taking taylor expansion of c in c
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify 1 into 1
10.611 * [taylor]: Taking taylor expansion of b_2 in c
10.611 * [backup-simplify]: Simplify b_2 into b_2
10.611 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
10.611 * [taylor]: Taking taylor expansion of (* -1/2 (/ c b_2)) in c
10.611 * [taylor]: Taking taylor expansion of -1/2 in c
10.611 * [backup-simplify]: Simplify -1/2 into -1/2
10.611 * [taylor]: Taking taylor expansion of (/ c b_2) in c
10.611 * [taylor]: Taking taylor expansion of c in c
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify 1 into 1
10.611 * [taylor]: Taking taylor expansion of b_2 in c
10.611 * [backup-simplify]: Simplify b_2 into b_2
10.611 * [backup-simplify]: Simplify (/ 1 b_2) into (/ 1 b_2)
10.611 * [backup-simplify]: Simplify (* -1/2 (/ 1 b_2)) into (/ -1/2 b_2)
10.611 * [taylor]: Taking taylor expansion of (/ -1/2 b_2) in b_2
10.611 * [taylor]: Taking taylor expansion of -1/2 in b_2
10.611 * [backup-simplify]: Simplify -1/2 into -1/2
10.611 * [taylor]: Taking taylor expansion of b_2 in b_2
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify 1 into 1
10.612 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.612 * [backup-simplify]: Simplify -1/2 into -1/2
10.612 * [backup-simplify]: Simplify (- (/ 0 b_2) (+ (* (/ 1 b_2) (/ 0 b_2)))) into 0
10.613 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 b_2))) into 0
10.613 * [taylor]: Taking taylor expansion of 0 in b_2
10.613 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
10.614 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify (- (/ 0 b_2) (+ (* (/ 1 b_2) (/ 0 b_2)) (* 0 (/ 0 b_2)))) into 0
10.615 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 b_2)))) into 0
10.615 * [taylor]: Taking taylor expansion of 0 in b_2
10.615 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.616 * [backup-simplify]: Simplify 0 into 0
10.617 * [backup-simplify]: Simplify (- (/ 0 b_2) (+ (* (/ 1 b_2) (/ 0 b_2)) (* 0 (/ 0 b_2)) (* 0 (/ 0 b_2)))) into 0
10.618 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b_2))))) into 0
10.618 * [taylor]: Taking taylor expansion of 0 in b_2
10.618 * [backup-simplify]: Simplify 0 into 0
10.618 * [backup-simplify]: Simplify 0 into 0
10.618 * [backup-simplify]: Simplify 0 into 0
10.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.619 * [backup-simplify]: Simplify 0 into 0
10.619 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 b_2) c)) into (* -1/2 (/ c b_2))
10.619 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 c) (/ 1 b_2))) into (* -1/2 (/ b_2 c))
10.619 * [approximate]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in (c b_2) around 0
10.619 * [taylor]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in b_2
10.619 * [taylor]: Taking taylor expansion of -1/2 in b_2
10.619 * [backup-simplify]: Simplify -1/2 into -1/2
10.619 * [taylor]: Taking taylor expansion of (/ b_2 c) in b_2
10.620 * [taylor]: Taking taylor expansion of b_2 in b_2
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify 1 into 1
10.620 * [taylor]: Taking taylor expansion of c in b_2
10.620 * [backup-simplify]: Simplify c into c
10.620 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
10.620 * [taylor]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in c
10.620 * [taylor]: Taking taylor expansion of -1/2 in c
10.620 * [backup-simplify]: Simplify -1/2 into -1/2
10.620 * [taylor]: Taking taylor expansion of (/ b_2 c) in c
10.620 * [taylor]: Taking taylor expansion of b_2 in c
10.620 * [backup-simplify]: Simplify b_2 into b_2
10.620 * [taylor]: Taking taylor expansion of c in c
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify 1 into 1
10.620 * [backup-simplify]: Simplify (/ b_2 1) into b_2
10.620 * [taylor]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in c
10.620 * [taylor]: Taking taylor expansion of -1/2 in c
10.620 * [backup-simplify]: Simplify -1/2 into -1/2
10.620 * [taylor]: Taking taylor expansion of (/ b_2 c) in c
10.620 * [taylor]: Taking taylor expansion of b_2 in c
10.620 * [backup-simplify]: Simplify b_2 into b_2
10.620 * [taylor]: Taking taylor expansion of c in c
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify 1 into 1
10.620 * [backup-simplify]: Simplify (/ b_2 1) into b_2
10.620 * [backup-simplify]: Simplify (* -1/2 b_2) into (* -1/2 b_2)
10.620 * [taylor]: Taking taylor expansion of (* -1/2 b_2) in b_2
10.620 * [taylor]: Taking taylor expansion of -1/2 in b_2
10.620 * [backup-simplify]: Simplify -1/2 into -1/2
10.620 * [taylor]: Taking taylor expansion of b_2 in b_2
10.620 * [backup-simplify]: Simplify 0 into 0
10.621 * [backup-simplify]: Simplify 1 into 1
10.621 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
10.621 * [backup-simplify]: Simplify -1/2 into -1/2
10.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b_2 (/ 0 1)))) into 0
10.623 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 b_2)) into 0
10.623 * [taylor]: Taking taylor expansion of 0 in b_2
10.623 * [backup-simplify]: Simplify 0 into 0
10.623 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.624 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b_2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.626 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 b_2))) into 0
10.626 * [taylor]: Taking taylor expansion of 0 in b_2
10.626 * [backup-simplify]: Simplify 0 into 0
10.626 * [backup-simplify]: Simplify 0 into 0
10.626 * [backup-simplify]: Simplify 0 into 0
10.627 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.627 * [backup-simplify]: Simplify 0 into 0
10.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b_2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.630 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b_2)))) into 0
10.630 * [taylor]: Taking taylor expansion of 0 in b_2
10.630 * [backup-simplify]: Simplify 0 into 0
10.630 * [backup-simplify]: Simplify 0 into 0
10.631 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 b_2) (/ 1 (/ 1 c)))) into (* -1/2 (/ c b_2))
10.631 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 (- c)) (/ 1 (- b_2)))) into (* -1/2 (/ b_2 c))
10.631 * [approximate]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in (c b_2) around 0
10.631 * [taylor]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in b_2
10.631 * [taylor]: Taking taylor expansion of -1/2 in b_2
10.631 * [backup-simplify]: Simplify -1/2 into -1/2
10.631 * [taylor]: Taking taylor expansion of (/ b_2 c) in b_2
10.631 * [taylor]: Taking taylor expansion of b_2 in b_2
10.631 * [backup-simplify]: Simplify 0 into 0
10.631 * [backup-simplify]: Simplify 1 into 1
10.631 * [taylor]: Taking taylor expansion of c in b_2
10.631 * [backup-simplify]: Simplify c into c
10.631 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
10.631 * [taylor]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in c
10.631 * [taylor]: Taking taylor expansion of -1/2 in c
10.631 * [backup-simplify]: Simplify -1/2 into -1/2
10.631 * [taylor]: Taking taylor expansion of (/ b_2 c) in c
10.631 * [taylor]: Taking taylor expansion of b_2 in c
10.631 * [backup-simplify]: Simplify b_2 into b_2
10.631 * [taylor]: Taking taylor expansion of c in c
10.631 * [backup-simplify]: Simplify 0 into 0
10.631 * [backup-simplify]: Simplify 1 into 1
10.631 * [backup-simplify]: Simplify (/ b_2 1) into b_2
10.631 * [taylor]: Taking taylor expansion of (* -1/2 (/ b_2 c)) in c
10.631 * [taylor]: Taking taylor expansion of -1/2 in c
10.631 * [backup-simplify]: Simplify -1/2 into -1/2
10.631 * [taylor]: Taking taylor expansion of (/ b_2 c) in c
10.632 * [taylor]: Taking taylor expansion of b_2 in c
10.632 * [backup-simplify]: Simplify b_2 into b_2
10.632 * [taylor]: Taking taylor expansion of c in c
10.632 * [backup-simplify]: Simplify 0 into 0
10.632 * [backup-simplify]: Simplify 1 into 1
10.632 * [backup-simplify]: Simplify (/ b_2 1) into b_2
10.632 * [backup-simplify]: Simplify (* -1/2 b_2) into (* -1/2 b_2)
10.632 * [taylor]: Taking taylor expansion of (* -1/2 b_2) in b_2
10.632 * [taylor]: Taking taylor expansion of -1/2 in b_2
10.632 * [backup-simplify]: Simplify -1/2 into -1/2
10.632 * [taylor]: Taking taylor expansion of b_2 in b_2
10.632 * [backup-simplify]: Simplify 0 into 0
10.632 * [backup-simplify]: Simplify 1 into 1
10.633 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
10.633 * [backup-simplify]: Simplify -1/2 into -1/2
10.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b_2 (/ 0 1)))) into 0
10.634 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 b_2)) into 0
10.634 * [taylor]: Taking taylor expansion of 0 in b_2
10.634 * [backup-simplify]: Simplify 0 into 0
10.634 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.635 * [backup-simplify]: Simplify 0 into 0
10.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b_2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.638 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 b_2))) into 0
10.638 * [taylor]: Taking taylor expansion of 0 in b_2
10.638 * [backup-simplify]: Simplify 0 into 0
10.638 * [backup-simplify]: Simplify 0 into 0
10.638 * [backup-simplify]: Simplify 0 into 0
10.639 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.639 * [backup-simplify]: Simplify 0 into 0
10.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b_2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.642 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b_2)))) into 0
10.642 * [taylor]: Taking taylor expansion of 0 in b_2
10.642 * [backup-simplify]: Simplify 0 into 0
10.642 * [backup-simplify]: Simplify 0 into 0
10.642 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- b_2)) (/ 1 (/ 1 (- c))))) into (* -1/2 (/ c b_2))
10.642 * * * [progress]: simplifying candidates
10.643 * [simplify]: Simplifying:
  (expm1 (* -1/2 (/ c b_2)))
  (log1p (* -1/2 (/ c b_2)))
  (* -1/2 (/ c b_2))
  (+ (log -1/2) (- (log c) (log b_2)))
  (+ (log -1/2) (log (/ c b_2)))
  (log (* -1/2 (/ c b_2)))
  (exp (* -1/2 (/ c b_2)))
  (* (* (* -1/2 -1/2) -1/2) (/ (* (* c c) c) (* (* b_2 b_2) b_2)))
  (* (* (* -1/2 -1/2) -1/2) (* (* (/ c b_2) (/ c b_2)) (/ c b_2)))
  (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2))))
  (cbrt (* -1/2 (/ c b_2)))
  (* (* (* -1/2 (/ c b_2)) (* -1/2 (/ c b_2))) (* -1/2 (/ c b_2)))
  (sqrt (* -1/2 (/ c b_2)))
  (sqrt (* -1/2 (/ c b_2)))
  (* (sqrt -1/2) (sqrt (/ c b_2)))
  (* (sqrt -1/2) (sqrt (/ c b_2)))
  (* (sqrt -1/2) (/ (sqrt c) (sqrt b_2)))
  (* (sqrt -1/2) (/ (sqrt c) (sqrt b_2)))
  (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2))))
  (* -1/2 (sqrt (/ c b_2)))
  (* -1/2 (/ (* (cbrt c) (cbrt c)) (* (cbrt b_2) (cbrt b_2))))
  (* -1/2 (/ (* (cbrt c) (cbrt c)) (sqrt b_2)))
  (* -1/2 (/ (* (cbrt c) (cbrt c)) 1))
  (* -1/2 (/ (sqrt c) (* (cbrt b_2) (cbrt b_2))))
  (* -1/2 (/ (sqrt c) (sqrt b_2)))
  (* -1/2 (/ (sqrt c) 1))
  (* -1/2 (/ 1 (* (cbrt b_2) (cbrt b_2))))
  (* -1/2 (/ 1 (sqrt b_2)))
  (* -1/2 (/ 1 1))
  (* -1/2 1)
  (* -1/2 c)
  (* (cbrt -1/2) (/ c b_2))
  (* (sqrt -1/2) (/ c b_2))
  (* -1/2 (/ c b_2))
  (* -1/2 c)
  (* -1/2 (/ c b_2))
  (* -1/2 (/ c b_2))
  (* -1/2 (/ c b_2))
10.644 * * [simplify]: iteration 0: 70 enodes
10.666 * * [simplify]: iteration 1: 172 enodes
10.756 * * [simplify]: iteration 2: 519 enodes
11.043 * * [simplify]: iteration 3: 1799 enodes
12.108 * * [simplify]: iteration complete: 5002 enodes
12.109 * * [simplify]: Extracting #0: cost 25 inf + 0
12.111 * * [simplify]: Extracting #1: cost 660 inf + 1
12.124 * * [simplify]: Extracting #2: cost 1383 inf + 11090
12.156 * * [simplify]: Extracting #3: cost 560 inf + 134422
12.205 * * [simplify]: Extracting #4: cost 78 inf + 212374
12.263 * * [simplify]: Extracting #5: cost 4 inf + 227085
12.322 * * [simplify]: Extracting #6: cost 0 inf + 228127
12.378 * [simplify]: Simplified to:
  (expm1 (* (/ c b_2) -1/2))
  (log1p (* (/ c b_2) -1/2))
  (* (/ c b_2) -1/2)
  (log (* (/ c b_2) -1/2))
  (log (* (/ c b_2) -1/2))
  (log (* (/ c b_2) -1/2))
  (exp (* (/ c b_2) -1/2))
  (* (* (/ c b_2) (/ c b_2)) (* -1/8 (/ c b_2)))
  (* (* (/ c b_2) (/ c b_2)) (* -1/8 (/ c b_2)))
  (* (cbrt (* (/ c b_2) -1/2)) (cbrt (* (/ c b_2) -1/2)))
  (cbrt (* (/ c b_2) -1/2))
  (* (* (/ c b_2) (/ c b_2)) (* -1/8 (/ c b_2)))
  (sqrt (* (/ c b_2) -1/2))
  (sqrt (* (/ c b_2) -1/2))
  (* (sqrt -1/2) (sqrt (/ c b_2)))
  (* (sqrt -1/2) (sqrt (/ c b_2)))
  (* (sqrt c) (/ (sqrt -1/2) (sqrt b_2)))
  (* (sqrt c) (/ (sqrt -1/2) (sqrt b_2)))
  (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2))))
  (* (sqrt (/ c b_2)) -1/2)
  (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2)))
  (* (/ (cbrt c) (sqrt b_2)) (* -1/2 (cbrt c)))
  (* (cbrt c) (* -1/2 (cbrt c)))
  (* (/ (sqrt c) (cbrt b_2)) (/ -1/2 (cbrt b_2)))
  (/ (* -1/2 (sqrt c)) (sqrt b_2))
  (* -1/2 (sqrt c))
  (/ (/ -1/2 (cbrt b_2)) (cbrt b_2))
  (/ -1/2 (sqrt b_2))
  -1/2
  -1/2
  (* c -1/2)
  (* (cbrt -1/2) (/ c b_2))
  (* (/ c b_2) (sqrt -1/2))
  (* (/ c b_2) -1/2)
  (* c -1/2)
  (* (/ c b_2) -1/2)
  (* (/ c b_2) -1/2)
  (* (/ c b_2) -1/2)
12.380 * * * [progress]: adding candidates to table
12.584 * [progress]: [Phase 3 of 3] Extracting.
12.585 * * [regime]: Finding splitpoints for: (#<alt (λ (a b_2 c) (* (* (cbrt c) (* -1/2 (cbrt c))) (/ (cbrt c) b_2)))> #<alt (λ (a b_2 c) (* (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2)))) (cbrt (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2))) (/ (cbrt c) (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (+ (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) a))> #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))> #<alt (λ (a b_2 c) (/ (/ (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))))) (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))) a))> #<alt (λ (a b_2 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))))) a)))> #<alt (λ (a b_2 c) (/ (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a)))> #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))> #<alt (λ (a b_2 c) (expm1 (log1p (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2)))) (cbrt (/ c b_2))))> #<alt (λ (a b_2 c) (* (/ (/ -1/2 (cbrt b_2)) (cbrt b_2)) (/ c (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (/ (- (- b_2) (fma (/ (* a c) b_2) -1/2 b_2)) a))>)
12.589 * * * [regime-changes]: Trying 3 branch expressions: (c b_2 a)
12.590 * * * * [regimes]: Trying to branch on c from (#<alt (λ (a b_2 c) (* (* (cbrt c) (* -1/2 (cbrt c))) (/ (cbrt c) b_2)))> #<alt (λ (a b_2 c) (* (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2)))) (cbrt (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2))) (/ (cbrt c) (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (+ (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) a))> #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))> #<alt (λ (a b_2 c) (/ (/ (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))))) (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))) a))> #<alt (λ (a b_2 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))))) a)))> #<alt (λ (a b_2 c) (/ (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a)))> #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))> #<alt (λ (a b_2 c) (expm1 (log1p (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2)))) (cbrt (/ c b_2))))> #<alt (λ (a b_2 c) (* (/ (/ -1/2 (cbrt b_2)) (cbrt b_2)) (/ c (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (/ (- (- b_2) (fma (/ (* a c) b_2) -1/2 b_2)) a))>)
12.909 * * * * [regimes]: Trying to branch on b_2 from (#<alt (λ (a b_2 c) (* (* (cbrt c) (* -1/2 (cbrt c))) (/ (cbrt c) b_2)))> #<alt (λ (a b_2 c) (* (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2)))) (cbrt (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2))) (/ (cbrt c) (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (+ (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) a))> #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))> #<alt (λ (a b_2 c) (/ (/ (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))))) (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))) a))> #<alt (λ (a b_2 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))))) a)))> #<alt (λ (a b_2 c) (/ (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a)))> #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))> #<alt (λ (a b_2 c) (expm1 (log1p (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2)))) (cbrt (/ c b_2))))> #<alt (λ (a b_2 c) (* (/ (/ -1/2 (cbrt b_2)) (cbrt b_2)) (/ c (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (/ (- (- b_2) (fma (/ (* a c) b_2) -1/2 b_2)) a))>)
13.087 * * * * [regimes]: Trying to branch on a from (#<alt (λ (a b_2 c) (* (* (cbrt c) (* -1/2 (cbrt c))) (/ (cbrt c) b_2)))> #<alt (λ (a b_2 c) (* (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2)))) (cbrt (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2))) (/ (cbrt c) (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (+ (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) a))> #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))> #<alt (λ (a b_2 c) (/ (/ (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))))) (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))) a))> #<alt (λ (a b_2 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))))) a)))> #<alt (λ (a b_2 c) (/ (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a)))> #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))> #<alt (λ (a b_2 c) (expm1 (log1p (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2)))) (cbrt (/ c b_2))))> #<alt (λ (a b_2 c) (* (/ (/ -1/2 (cbrt b_2)) (cbrt b_2)) (/ c (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (/ (- (- b_2) (fma (/ (* a c) b_2) -1/2 b_2)) a))>)
13.413 * * * [regime]: Found split indices: #<option (#s(si 9 111) #s(si 13 220) #s(si 8 255))>
13.415 * [binary-search]: Improving bounds with binary search for b_2 and (#<alt (λ (a b_2 c) (* (* (cbrt c) (* -1/2 (cbrt c))) (/ (cbrt c) b_2)))> #<alt (λ (a b_2 c) (* (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2)))) (cbrt (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2))) (/ (cbrt c) (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (+ (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) a))> #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))> #<alt (λ (a b_2 c) (/ (/ (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))))) (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))) a))> #<alt (λ (a b_2 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))))) a)))> #<alt (λ (a b_2 c) (/ (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a)))> #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))> #<alt (λ (a b_2 c) (expm1 (log1p (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2)))) (cbrt (/ c b_2))))> #<alt (λ (a b_2 c) (* (/ (/ -1/2 (cbrt b_2)) (cbrt b_2)) (/ c (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (/ (- (- b_2) (fma (/ (* a c) b_2) -1/2 b_2)) a))>)
13.572 * [regimes]: Found splitpoints: (#s(sp 9 b_2 -9.332433396832084e-58) #s(sp 13 b_2 2.87562986234827e+107) #s(sp 8 b_2 +nan.0)) , with alts (#<alt (λ (a b_2 c) (* (* (cbrt c) (* -1/2 (cbrt c))) (/ (cbrt c) b_2)))> #<alt (λ (a b_2 c) (* (* (cbrt (* -1/2 (/ c b_2))) (cbrt (* -1/2 (/ c b_2)))) (cbrt (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* (* (/ (cbrt c) (cbrt b_2)) -1/2) (/ (cbrt c) (cbrt b_2))) (/ (cbrt c) (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (+ (fma -1 b_2 (- (* (sqrt (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) (fma (- (sqrt (cbrt (- (* 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 (* (cbrt (- (* b_2 b_2) (* a c))) (cbrt (- (* b_2 b_2) (* a c)))))))) a))> #<alt (λ (a b_2 c) (* (* (/ (cbrt (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (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 a))))> #<alt (λ (a b_2 c) (/ (/ (- (fma b_2 (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))))) (fma (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (* b_2 b_2))) a))> #<alt (λ (a b_2 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))))) a)))> #<alt (λ (a b_2 c) (/ (fma (sqrt (- b_2)) (sqrt (- b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a)))> #<alt (λ (a b_2 c) (* -1/2 (/ c b_2)))> #<alt (λ (a b_2 c) (expm1 (log1p (* -1/2 (/ c b_2)))))> #<alt (λ (a b_2 c) (* (* -1/2 (* (cbrt (/ c b_2)) (cbrt (/ c b_2)))) (cbrt (/ c b_2))))> #<alt (λ (a b_2 c) (* (/ (/ -1/2 (cbrt b_2)) (cbrt b_2)) (/ c (cbrt b_2))))> #<alt (λ (a b_2 c) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a))> #<alt (λ (a b_2 c) (/ (- (- b_2) (fma (/ (* a c) b_2) -1/2 b_2)) a))>)
13.574 * [simplify]: Simplifying:
  (if (<= b_2 -9.332433396832084e-58) (* -1/2 (/ c b_2)) (if (<= b_2 2.87562986234827e+107) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* a c))))) a) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a))))
13.574 * * [simplify]: iteration 0: 27 enodes
13.576 * * [simplify]: iteration 1: 30 enodes
13.578 * * [simplify]: iteration complete: 30 enodes
13.578 * * [simplify]: Extracting #0: cost 1 inf + 0
13.578 * * [simplify]: Extracting #1: cost 4 inf + 0
13.578 * * [simplify]: Extracting #2: cost 11 inf + 0
13.578 * * [simplify]: Extracting #3: cost 14 inf + 3
13.578 * * [simplify]: Extracting #4: cost 12 inf + 116
13.578 * * [simplify]: Extracting #5: cost 13 inf + 266
13.579 * * [simplify]: Extracting #6: cost 12 inf + 348
13.579 * * [simplify]: Extracting #7: cost 11 inf + 632
13.579 * * [simplify]: Extracting #8: cost 7 inf + 978
13.579 * * [simplify]: Extracting #9: cost 5 inf + 1264
13.580 * * [simplify]: Extracting #10: cost 4 inf + 1467
13.580 * * [simplify]: Extracting #11: cost 3 inf + 1885
13.581 * * [simplify]: Extracting #12: cost 1 inf + 3109
13.582 * * [simplify]: Extracting #13: cost 0 inf + 4047
13.582 * [simplify]: Simplified to:
  (if (<= b_2 -9.332433396832084e-58) (* -1/2 (/ c b_2)) (if (<= b_2 2.87562986234827e+107) (/ (fma (* (cbrt b_2) (cbrt b_2)) (- (cbrt b_2)) (- (sqrt (- (* b_2 b_2) (* c a))))) a) (fma (/ c b_2) 1/2 (/ (* -2 b_2) a))))
18.498 * [regime-testing]: Baseline error score: 34.55347724298322
18.517 * [regime-testing]: Oracle error score: 6.166425332872155
18.558 * [regime-testing]: End program error score: 10.552923062577158