
Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 438.0ms | 5 469× | 0 | valid |
| 300.0ms | 1 260× | 2 | valid |
| 167.0ms | 1 332× | 1 | valid |
| 83.0ms | 914× | 0 | invalid |
| 43.0ms | 195× | 3 | valid |
ival-mult!: 195.0ms (27.2% of total)ival-sqrt: 157.0ms (21.9% of total)adjust: 126.0ms (17.6% of total)ival-neg: 87.0ms (12.2% of total)ival-div!: 69.0ms (9.6% of total)ival-sub!: 48.0ms (6.7% of total)ival-add!: 34.0ms (4.7% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 175 |
| 1 | 192 | 168 |
| 2 | 638 | 168 |
| 3 | 2377 | 168 |
| 4 | 7953 | 168 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 28 to 24 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 4.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 3.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 3.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 2.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 4622 |
| 0 | 691 | 4317 |
| 0 | 3901 | 4085 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
b |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (* (* 3 a) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
#s(approx (* 3 a) (*.f64 a #s(literal 3 binary64))) |
#s(approx a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/24 binary64))) a))) a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal -1/8 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (*.f64 #s(literal -3 binary64) c)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) (*.f64 a b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a)))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64))) c))) c))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) c)) (*.f64 #s(literal -3 binary64) a)) c))) |
Compiled 2 975 to 918 computations (69.1% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 17 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 128 | 17 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| 49.6% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| ▶ | 49.6% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
| ▶ | 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| 11.1% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 25.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 (neg.f64 b) c)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 20.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 24.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) (*.f64 #s(literal 3 binary64) a)) |
| 26.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 19.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 20.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) | |
| ▶ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 28.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a)))) c))) |
Compiled 664 to 646 computations (2.7% saved)
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(literal -1/3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c a) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) |
(neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c)) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(/.f64 a c) |
(/.f64 b c) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* a 3) #s(hole binary64 (* 3 a))) |
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -3)))) |
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* a (- (/ b a) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (- (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (+ b (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ b c) #s(hole binary64 (/ b c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))) 1)))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* b (+ (* (sqrt (/ a c)) (/ (sqrt -3) b)) (/ 1 c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -3) b))))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))) 1))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* -1 (* b (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -3) b))) (/ 1 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (+ b (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (/ (+ b (* (sqrt (* a c)) (sqrt -3))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* c (- (/ b c) (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b c))))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | b | @ | 0 | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* a 3) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* -3 (* c a)) (* c a) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ b c)) |
| 8.0ms | c | @ | -inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* a 3) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* -3 (* c a)) (* c a) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ b c)) |
| 7.0ms | a | @ | 0 | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* a 3) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* -3 (* c a)) (* c a) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ b c)) |
| 5.0ms | a | @ | -inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* a 3) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* -3 (* c a)) (* c a) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ b c)) |
| 4.0ms | a | @ | inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* a 3) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* -3 (* c a)) (* c a) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ b c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 826 | 5768 |
| 0 | 868 | 5351 |
| 0 | 4550 | 5214 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(literal -1/3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c a) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) |
(neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c)) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(/.f64 a c) |
(/.f64 b c) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* a 3) #s(hole binary64 (* 3 a))) |
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -3)))) |
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* a (- (/ b a) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (- (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (+ b (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ b c) #s(hole binary64 (/ b c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))) 1)))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* b (+ (* (sqrt (/ a c)) (/ (sqrt -3) b)) (/ 1 c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -3) b))))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))) 1))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* -1 (* b (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -3) b))) (/ 1 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (+ b (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (/ (+ b (* (sqrt (* a c)) (sqrt -3))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) #s(hole binary64 (* -1 (* c (- (/ b c) (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b c))))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a))) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(+.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
b |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
#s(literal -2/3 binary64) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 c a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(/.f64 (neg.f64 c) (neg.f64 a)) |
(/.f64 c a) |
#s(literal -1/3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c a) |
(*.f64 a c) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c)))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) |
(*.f64 (*.f64 #s(literal -1 binary64) c) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) |
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c)) |
(*.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c) #s(literal -1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c)) |
(neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c)) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c) |
(*.f64 c (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c (*.f64 (/.f64 b c) c)) |
(fma.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c (/.f64 b c))) |
(+.f64 (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (*.f64 c (/.f64 b c))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) (*.f64 (/.f64 b c) c)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (*.f64 (/.f64 b c) (/.f64 b c))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b c) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (-.f64 (*.f64 (/.f64 b c) (/.f64 b c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 b c)) |
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) |
(+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 a c)) |
(/.f64 (*.f64 a #s(literal -3 binary64)) c) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(/.f64 a c) |
(/.f64 (neg.f64 b) (neg.f64 c)) |
(/.f64 b c) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (* -3 a) (*.f64 a #s(literal -3 binary64))) |
#s(approx a a) |
#s(approx (* a 3) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (* -2/3 (/ b a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
#s(approx (/ c a) (/.f64 c a)) |
#s(approx (* -3 (* c a)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
#s(approx (* c a) (*.f64 c a)) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) |
#s(approx (sqrt (* (/ a c) -3)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
#s(approx (* (/ a c) -3) (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
#s(approx (/ a c) (/.f64 a c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a)) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (*.f64 (+.f64 (/.f64 b (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/24 binary64))) a))) a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal -1/8 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (neg.f64 (*.f64 (-.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a)) a))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b)) |
#s(approx (/ b c) (/.f64 b c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b)) #s(literal 1 binary64)) b)) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (*.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b) #s(literal 1 binary64)) b)) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) b)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b) #s(literal 1 binary64)))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b)) #s(literal 1 binary64)))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) b)) (/.f64 #s(literal 1 binary64) c)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) (*.f64 b a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) b) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (*.f64 (-.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64))) c))) c))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (neg (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c)) (neg.f64 (*.f64 (-.f64 (/.f64 b c) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (* (+ (sqrt (* (/ a c) -3)) (/ b c)) c) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
#s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) |
Compiled 4 261 to 1 428 computations (66.5% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 239 | 15 | 254 |
| Fresh | 11 | 1 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 252 | 19 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ▶ | 30.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| 24.4% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) #s(literal 3 binary64)) a) | |
| ✓ | 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| 11.1% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) | |
| 29.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) | |
| 15.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 16.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 26.6% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 34.5% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 19.2% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| 34.0% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 20.8% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) | |
| 28.7% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) c))) | |
| ▶ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
| ▶ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
| ✓ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
| ✓ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 727 to 719 computations (1.1% saved)
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
b |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)) |
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -3/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* a -3) c) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* a -3) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (* -2/3 b) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2)))) |
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (* -2/3 b) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -2 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c -3) #s(hole binary64 (* -3 c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | a | @ | inf | ((/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) b (* (* a -3) c) (* a -3) a -3 c (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) -2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -1/3 (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c) -1/2) |
| 10.0ms | a | @ | 0 | ((/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) b (* (* a -3) c) (* a -3) a -3 c (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) -2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -1/3 (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c) -1/2) |
| 9.0ms | b | @ | -inf | ((/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) b (* (* a -3) c) (* a -3) a -3 c (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) -2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -1/3 (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c) -1/2) |
| 5.0ms | a | @ | -inf | ((/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) b (* (* a -3) c) (* a -3) a -3 c (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) -2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -1/3 (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c) -1/2) |
| 5.0ms | c | @ | inf | ((/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) b (* (* a -3) c) (* a -3) a -3 c (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* -2/3 b) a) (* -2/3 b) -2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -1/3 (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1098 | 8355 |
| 0 | 1136 | 7752 |
| 1 | 6516 | 7652 |
| 0 | 8560 | 7424 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
b |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)) |
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -3/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* a -3) c) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* a -3) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (* -2/3 b) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2)))) |
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (* -2/3 b) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -2 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* c -3) #s(hole binary64 (* -3 c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))) |
#s(approx (* c c) #s(hole binary64 (pow c 2))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) a)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))) (neg.f64 a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) a) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b) (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) a)) c)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b)) |
b |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 c (*.f64 #s(literal -3 binary64) a)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) b)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(*.f64 #s(literal -2/3 binary64) b) |
(*.f64 b #s(literal -2/3 binary64)) |
#s(literal -2/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(*.f64 c (/.f64 #s(literal -3 binary64) a)) |
(*.f64 #s(literal -3 binary64) (/.f64 c a)) |
(/.f64 (neg.f64 (*.f64 c #s(literal -3 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -1/3 binary64) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))) #s(literal -3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(pow.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 1/2 binary64))) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) b)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) b)) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 #s(literal -1/2 binary64) c))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)))) (-.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal 3 binary64)) #s(literal -27/512 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) c))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) c) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 #s(literal -1/2 binary64) c) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)))))) |
(fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(fma.f64 #s(literal -1/2 binary64) c (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) c)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) |
(*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) |
(*.f64 a (/.f64 (*.f64 c c) (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) a) b) b) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (neg.f64 (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) |
(*.f64 (*.f64 c c) a) |
(*.f64 c (*.f64 c a)) |
(*.f64 a (*.f64 c c)) |
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64))) |
(*.f64 (fabs.f64 c) (fabs.f64 c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 c c) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
#s(literal -3/8 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) b) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 b b)) |
#s(approx (+ (* b b) (* (* a -3) c)) (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
#s(approx (* (* a -3) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
#s(approx (* a -3) (*.f64 #s(literal -3 binary64) a)) |
#s(approx a a) |
#s(approx (/ (* -2/3 b) a) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (sqrt (/ (* c -3) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (/ (* c -3) a) (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
#s(approx (/ (* (* c c) a) (* b b)) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b)))) |
#s(approx (* (* c c) a) (*.f64 (*.f64 c c) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) (/.f64 (neg.f64 b) a))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a))) a)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))) a)) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/24 binary64))) a))) a)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/8 binary64))) a)) b) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal -1/8 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (+ (* b b) (* (* a -3) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (sqrt (/ (* c -3) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal -1/24 binary64))) a))) a))) a))) |
#s(approx (+ (* b b) (* (* a -3) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) a))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c a))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) a)) b (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) b) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (* -2/3 b) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64))) b) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)))) |
#s(approx (+ (* b b) (* (* a -3) c)) (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c))) b)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -27/16 binary64) (fma.f64 #s(literal -3/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64))))) b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))) b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -3/8 binary64))))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 2 binary64) a))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 2 binary64) a)))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (*.f64 b b)))) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) (*.f64 a b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (* c -3) (*.f64 c #s(literal -3 binary64))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) |
#s(approx (* c c) (*.f64 c c)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (+.f64 (/.f64 (neg.f64 b) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) (*.f64 c a))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) (/.f64 (neg.f64 b) (*.f64 c a))) c)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/6 binary64)))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/6 binary64))))) c)) |
#s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (*.f64 c c))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a)))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64))) c))) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a))) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64))) c)) (/.f64 (neg.f64 b) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (+ (* b b) (* (* a -3) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (+ (* b b) (* (* a -3) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
Compiled 6 091 to 1 902 computations (68.8% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 14 | 330 |
| Fresh | 6 | 5 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 325 | 24 | 349 |
| Status | Accuracy | Program |
|---|---|---|
| 30.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 35.2% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) | |
| ▶ | 49.4% | (/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
| ✓ | 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 11.1% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
| 25.4% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) | |
| ▶ | 29.1% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
| 24.3% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))) a) | |
| ▶ | 21.0% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
| 34.0% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) | |
| 34.4% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 18.9% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) | |
| 35.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) | |
| 29.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) | |
| 15.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 16.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 34.0% | #s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 19.2% | #s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) | |
| 20.8% | #s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) | |
| ▶ | 34.5% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| ✓ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
| ✓ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
| ✓ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
| ✓ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 898 to 892 computations (0.7% saved)
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) |
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
b |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
| Outputs |
|---|
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (* -1 b)) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b))) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ b a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ (+ b (* -3/2 (/ (* a c) b))) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* -3 a) c) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* (sqrt (* (* -3 a) c)) 1/3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (* (* -3 a) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -3/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) a))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (* b (- (* (sqrt (/ c a)) (/ (sqrt -3) b)) (/ 1 a))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -2 (/ b a)))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (/ 1 a)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* 1/3 (+ (* -1 (/ b a)) (/ b a))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (+ (* -1 (/ b a)) (/ b a)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (+ (* -1 (/ b a)) (/ b a))) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (+ (* -1 (/ b a)) (/ b a))) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ b a)))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -3/2 (/ c b)) (+ (* -1 (/ b a)) (/ b a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (/ b a)))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a)))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | b | @ | inf | ((/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) b (* (* -3 a) c) (* -3 a) -3 a c (/ (neg b) a) (neg b) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (* (sqrt (* (* -3 a) c)) 1/3) (sqrt (* (* -3 a) c)) 1/3 (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 5.0ms | a | @ | -inf | ((/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) b (* (* -3 a) c) (* -3 a) -3 a c (/ (neg b) a) (neg b) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (* (sqrt (* (* -3 a) c)) 1/3) (sqrt (* (* -3 a) c)) 1/3 (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 5.0ms | c | @ | -inf | ((/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) b (* (* -3 a) c) (* -3 a) -3 a c (/ (neg b) a) (neg b) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (* (sqrt (* (* -3 a) c)) 1/3) (sqrt (* (* -3 a) c)) 1/3 (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 4.0ms | c | @ | inf | ((/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) b (* (* -3 a) c) (* -3 a) -3 a c (/ (neg b) a) (neg b) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (* (sqrt (* (* -3 a) c)) 1/3) (sqrt (* (* -3 a) c)) 1/3 (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 4.0ms | a | @ | inf | ((/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) b (* (* -3 a) c) (* -3 a) -3 a c (/ (neg b) a) (neg b) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) a) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (* (sqrt (* (* -3 a) c)) 1/3) (sqrt (* (* -3 a) c)) 1/3 (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1225 | 10543 |
| 0 | 1262 | 9708 |
| 1 | 7386 | 9708 |
| 0 | 8421 | 9399 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) |
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
b |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (* -1 b)) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b))) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) a))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ b a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ (+ b (* -3/2 (/ (* a c) b))) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (/ (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* -3 a) c) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* (sqrt (* (* -3 a) c)) 1/3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (* (* -3 a) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* -3/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) a))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (* b (- (* (sqrt (/ c a)) (/ (sqrt -3) b)) (/ 1 a))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -2 (/ b a)))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (/ 1 a)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* 1/3 (+ (* -1 (/ b a)) (/ b a))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (+ (* -1 (/ b a)) (/ b a)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (+ (* -1 (/ b a)) (/ b a))) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (+ (* 1/3 (+ (* -1 (/ b a)) (/ b a))) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ b a)))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -3/2 (/ c b)) (+ (* -1 (/ b a)) (/ b a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* -3/2 (/ c b)) (/ b a)))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a)))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(hole binary64 (* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* b b) (* (* -3 a) c)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) #s(literal 3 binary64)) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a)) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) (/.f64 (neg.f64 b) a))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))) (neg.f64 a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a)) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (neg.f64 a)) |
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))) c)) |
(-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(+.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)) |
b |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (neg.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 b)) |
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -1/2 binary64) c) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) (neg.f64 b))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b))) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) #s(literal -1 binary64) (pow.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b))))) |
(fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) |
(fma.f64 b #s(literal -1 binary64) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) (neg.f64 b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
(/.f64 (neg.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)))) (neg.f64 a)) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
#s(literal 1/3 binary64) |
(/.f64 (neg.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) (-.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (*.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (neg.f64 b) a)) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (neg.f64 b) a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a)) |
(+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 c a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(/.f64 (neg.f64 c) (neg.f64 a)) |
(/.f64 c a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b) a)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/.f64 b a)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b) a)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/.f64 (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) a)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) a)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) b) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (+ (* b b) (* (* -3 a) c)) (*.f64 b b)) |
#s(approx (+ (* b b) (* (* -3 a) c)) (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (* (* -3 a) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
#s(approx (* -3 a) (*.f64 a #s(literal -3 binary64))) |
#s(approx a a) |
#s(approx (/ (neg b) a) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (* 3 a) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) |
#s(approx (* (sqrt (* (* -3 a) c)) 1/3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) |
#s(approx (sqrt (* (* -3 a) c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (neg.f64 b)) a)) |
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
#s(approx (/ c a) (/.f64 c a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (+ (* b b) (* (* -3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/24 binary64))) a))) a)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/8 binary64))) a)) b) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (+.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (+ (* b b) (* (* -3 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) a))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c a))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal -1/8 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal -1/24 binary64))) a))) a))) a))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) a)) b (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) b) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (fma.f64 #s(literal -1/3 binary64) b (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64))) b) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c))) b)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -27/16 binary64) (fma.f64 #s(literal -3/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 1 binary64) a))) b)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 1 binary64) a)))) b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* b b) (* (* -3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64))))) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -3/8 binary64))))) b)) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) b) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 2 binary64) a))))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 2 binary64) a)))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 1 binary64) a)))))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) #s(literal 2/3 binary64)))) |
#s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) b)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (fma.f64 #s(literal 0 binary64) (/.f64 b a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)) c (/.f64 b a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c (/.f64 b a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 #s(literal -3/2 binary64) (/.f64 c b) (/.f64 b a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)) c (/.f64 b a))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c (/.f64 b a))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) (*.f64 a b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) b) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 405/64 binary64)) c) (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 (neg.f64 b) (*.f64 c a))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) (*.f64 c a))) c)) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) (/.f64 (neg.f64 b) (*.f64 c a))) c)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) c)) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 7 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))))) c)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (+ (* b b) (* (* -3 a) c)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (*.f64 c c))) |
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/6 binary64)))) c)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/6 binary64))))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a)))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64))) c))) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a))) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c))) |
#s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64))) c)) (/.f64 (neg.f64 b) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))) c))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) c))) |
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) a) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 7 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64)))))) c))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (+ (* b b) (* (* -3 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/24 binary64))) c))) c))) c))) |
Compiled 6 768 to 1 846 computations (72.7% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 4 | 337 |
| Fresh | 2 | 12 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 338 | 23 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 35.2% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) | |
| ✓ | 49.4% | (/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
| ✓ | 30.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| 25.4% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) | |
| 17.9% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) | |
| 29.1% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) | |
| 24.3% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))) a) | |
| 34.0% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) | |
| 34.4% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 18.9% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) | |
| 19.2% | (/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) | |
| 35.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) | |
| 29.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) | |
| 15.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 34.0% | #s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 19.2% | #s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) | |
| 20.8% | #s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) | |
| ✓ | 34.5% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 8.2% | #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) | |
| ✓ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
| ✓ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
| ✓ | 18.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
| ✓ | 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 1 160 to 735 computations (36.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 (neg.f64 b) c)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)) (neg.f64 c))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))) (/.f64 b (*.f64 c a)))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -3 binary64))))) c))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
5 calls:
| 62.0ms | c |
| 44.0ms | a |
| 17.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 15.0ms | (*.f64 #s(literal 3 binary64) a) |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 2 | (*.f64 #s(literal 3 binary64) a) |
| 71.2% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 53.7% | 2 | a |
| 85.5% | 3 | b |
| 53.5% | 2 | c |
Compiled 20 to 26 computations (-30% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 #s(approx (+ (sqrt (* (/ a c) -3)) (/ b c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (neg.f64 b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 4 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) 3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) #s(approx (+ (/ (neg b) a) (sqrt (* (/ c a) -3))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 4 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 4 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* b b) (* (* a -3) c))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
5 calls:
| 3.0ms | b |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | c |
| 35.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 35.2% | 1 | a |
| 35.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 35.2% | 1 | b |
Compiled 20 to 26 computations (-30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 18.0ms | -1.133245133886796e+133 | -2.0944231840306693e+116 |
| 28.0ms | 248× | 0 | valid |
| 23.0ms | 43× | 0 | invalid |
| 5.0ms | 34× | 2 | valid |
| 4.0ms | 38× | 1 | valid |
Compiled 790 to 818 computations (-3.5% saved)
ival-sqrt: 24.0ms (47.3% of total)ival-mult!: 19.0ms (37.5% of total)adjust: 2.0ms (3.9% of total)ival-div!: 2.0ms (3.9% of total)ival-neg: 2.0ms (3.9% of total)ival-sub!: 1.0ms (2% of total)ival-add!: 1.0ms (2% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 29.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
| 9.0ms | 160× | 0 | valid |
| 4.0ms | 57× | 0 | invalid |
Compiled 890 to 918 computations (-3.1% saved)
ival-mult!: 3.0ms (41% of total)ival-sqrt: 1.0ms (13.7% of total)ival-add!: 1.0ms (13.7% of total)ival-neg: 1.0ms (13.7% of total)ival-div!: 1.0ms (13.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 880 to 898 computations (-2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 830 to 848 computations (-2.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 830 to 848 computations (-2.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 830 to 848 computations (-2.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 850 to 868 computations (-2.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 850 to 868 computations (-2.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 31.0ms | -1.3629756056264963e-191 | -3.7041702981776474e-200 |
| 22.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
| 30.0ms | 351× | 0 | valid |
| 23.0ms | 149× | 0 | invalid |
| 3.0ms | 21× | 2 | valid |
| 3.0ms | 28× | 1 | valid |
Compiled 1 230 to 1 247 computations (-1.4% saved)
ival-div!: 17.0ms (37.8% of total)ival-neg: 12.0ms (26.7% of total)ival-mult!: 7.0ms (15.6% of total)ival-sqrt: 4.0ms (8.9% of total)adjust: 1.0ms (2.2% of total)ival-sub!: 1.0ms (2.2% of total)ival-add!: 1.0ms (2.2% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.3629756056264963e-191 | -3.7041702981776474e-200 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 1 230 to 1 228 computations (0.2% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.961423209637759e-66 | 1.3763209485782654e-53 |
| 1.0ms | -1.3629756056264963e-191 | -3.7041702981776474e-200 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
Compiled 1 230 to 1 228 computations (0.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 1.1392874660688513e-90 | 4.574472903147755e-70 |
| 1.0ms | -1.2192455920851175e-68 | -4.288045100645011e-85 |
| 6.0ms | 108× | 0 | valid |
| 5.0ms | 42× | 1 | valid |
| 4.0ms | 26× | 2 | valid |
| 3.0ms | 51× | 0 | invalid |
Compiled 918 to 916 computations (0.2% saved)
ival-mult!: 3.0ms (25.7% of total)adjust: 2.0ms (17.1% of total)ival-sqrt: 2.0ms (17.1% of total)ival-div!: 2.0ms (17.1% of total)ival-sub!: 1.0ms (8.6% of total)ival-add!: 1.0ms (8.6% of total)ival-neg: 1.0ms (8.6% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -5.536011720551382e-304 | 4.786658885269547e-295 |
| 9.0ms | 160× | 0 | valid |
| 5.0ms | 91× | 0 | invalid |
Compiled 470 to 478 computations (-1.7% saved)
ival-mult!: 3.0ms (35.7% of total)ival-sqrt: 2.0ms (23.8% of total)ival-sub!: 1.0ms (11.9% of total)ival-add!: 1.0ms (11.9% of total)ival-neg: 1.0ms (11.9% of total)ival-div!: 1.0ms (11.9% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -5.536011720551382e-304 | 4.786658885269547e-295 |
Compiled 470 to 468 computations (0.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -5.536011720551382e-304 | 4.786658885269547e-295 |
Compiled 360 to 358 computations (0.6% saved)
| 1× | fuel |
Compiled 305 to 160 computations (47.5% saved)
Compiled 319 to 172 computations (46.1% saved)
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