
Time bar (total: 3.6s)
| 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 16 computations (15.8% saved)
| 372.0ms | 5 449× | 0 | valid |
| 249.0ms | 1 283× | 2 | valid |
| 170.0ms | 1 311× | 1 | valid |
| 118.0ms | 946× | 0 | invalid |
| 75.0ms | 213× | 3 | valid |
ival-mult!: 208.0ms (28.8% of total)adjust: 152.0ms (21% of total)ival-sqrt: 118.0ms (16.3% of total)ival-neg: 103.0ms (14.3% of total)ival-div!: 71.0ms (9.8% of total)ival-add!: 35.0ms (4.8% of total)ival-sub!: 34.0ms (4.7% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 175 |
| 1 | 272 | 160 |
| 2 | 920 | 160 |
| 3 | 4140 | 160 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 28 to 28 computations (0% saved)
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* 4 (* a c)) #s(hole binary64 (* 4 (* a c)))) |
#s(approx (* a c) #s(hole binary64 (* a c))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* 2 a) #s(hole binary64 (* 2 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (sqrt (neg (* 4 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 4 (* a c))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 4 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (- (pow b 2) (* 4 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2) |
| 3.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2) |
| 2.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2) |
| 2.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2) |
| 2.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 4587 |
| 0 | 621 | 4358 |
| 1 | 4023 | 4267 |
| 0 | 9404 | 3944 |
| 1 | 18867 | 3944 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* 4 (* a c)) #s(hole binary64 (* 4 (* a c)))) |
#s(approx (* a c) #s(hole binary64 (* a c))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* 2 a) #s(hole binary64 (* 2 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (sqrt (neg (* 4 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 4 (* a c))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 4 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (- (pow b 2) (* 4 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (- (* b b) (* 4 (* a c))) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))))) |
| Outputs |
|---|
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)))) (neg.f64 (neg.f64 (+.f64 a a)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (+.f64 a a))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a)) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (+.f64 a a))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 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 -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (fabs.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (fabs.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) |
(hypot.f64 (fabs.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(hypot.f64 (fabs.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(hypot.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 b b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b))) |
(fabs.f64 (neg.f64 (*.f64 b b))) |
(fabs.f64 (*.f64 b b)) |
(*.f64 (*.f64 a #s(literal 4 binary64)) c) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 c a)) |
#s(literal 4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(+.f64 a a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (neg.f64 (*.f64 a (/.f64 c (fabs.f64 b))))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) (*.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fabs.f64 b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) (*.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) |
#s(approx (- (* b b) (* 4 (* a c))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (* 4 (* a c)) (*.f64 (*.f64 c a) #s(literal 4 binary64))) |
#s(approx (* a c) (*.f64 c a)) |
#s(approx a a) |
#s(approx (* 2 a) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 4 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (- (* b b) (* 4 (* a c))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (*.f64 #s(literal -4 binary64) c)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx b b) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal -5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (- (* b b) (* 4 (* a c))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) #s(literal -1/2 binary64)))) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 c) (*.f64 b b))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b))) |
#s(approx c c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64))) a)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 4 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a)) #s(literal -1/4 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))) c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (*.f64 b b) c)) (*.f64 #s(literal -4 binary64) a)))) |
Compiled 3 010 to 955 computations (68.3% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 14 | 193 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 14 | 194 |
| Status | Accuracy | Program |
|---|---|---|
| 31.1% | (/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a))) | |
| ▶ | 49.6% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a)) |
| 38.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 29.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 49.5% | (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 a a))) | |
| ▶ | 21.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
| 37.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 20.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) | |
| 14.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal 1/2 binary64))) | |
| 14.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) | |
| 17.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
| ▶ | 30.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))) |
Compiled 546 to 540 computations (1.1% saved)
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(+.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(literal -1/2 binary64) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) |
(*.f64 (/.f64 c a) #s(literal -4 binary64)) |
(/.f64 c a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))) |
(neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))) |
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(neg.f64 c) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* -4 a) #s(hole binary64 (* -4 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a))) |
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ b a))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ b (* -1 (/ (* a c) b))) a))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (/ (+ (* -1/2 b) (* 1/2 (sqrt (* -4 (* a c))))) a))) |
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (+ (* -1 (/ c b)) (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (sqrt (* -4 (* a c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) b))) |
#s(approx (/ (neg c) (* b b)) #s(hole binary64 (* -1 (/ c (pow b 2))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* -1/2 (/ b a)))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* b (- (* 1/2 (/ (sqrt (* -4 (/ c a))) b)) (* 1/2 (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (sqrt (* -4 (/ c a))) b)) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a)))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* c (sqrt (/ -4 (* a c)))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* c (- (/ b (* a c)) (/ 1 b))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (sqrt (/ -4 (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (sqrt (/ -4 (* a c)))) (* 1/2 (/ b (* a c)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | b | @ | -inf | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (* (sqrt (* (/ c a) -4)) 1/2) 1/2) |
| 5.0ms | a | @ | 0 | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (* (sqrt (* (/ c a) -4)) 1/2) 1/2) |
| 4.0ms | a | @ | -inf | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (* (sqrt (* (/ c a) -4)) 1/2) 1/2) |
| 4.0ms | c | @ | -inf | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (* (sqrt (* (/ c a) -4)) 1/2) 1/2) |
| 3.0ms | b | @ | 0 | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (* (sqrt (* (/ c a) -4)) 1/2) 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 743 | 5470 |
| 0 | 779 | 5135 |
| 1 | 4903 | 5045 |
| 0 | 8923 | 4816 |
| 1 | 19841 | 4816 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(+.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(literal -1/2 binary64) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) |
(*.f64 (/.f64 c a) #s(literal -4 binary64)) |
(/.f64 c a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))) |
(neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))) |
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(neg.f64 c) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* -4 a) #s(hole binary64 (* -4 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a))) |
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ b a))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ b (* -1 (/ (* a c) b))) a))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (/ (+ (* -1/2 b) (* 1/2 (sqrt (* -4 (* a c))))) a))) |
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (+ (* -1 (/ c b)) (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (sqrt (* -4 (* a c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) b))) |
#s(approx (/ (neg c) (* b b)) #s(hole binary64 (* -1 (/ c (pow b 2))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* -1/2 (/ b a)))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* b (- (* 1/2 (/ (sqrt (* -4 (/ c a))) b)) (* 1/2 (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (sqrt (* -4 (/ c a))) b)) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a)))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* c (sqrt (/ -4 (* a c)))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* c (- (/ b (* a c)) (/ 1 b))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (sqrt (/ -4 (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (sqrt (/ -4 (* a c)))) (* 1/2 (/ b (* a c)))))))) |
| Outputs |
|---|
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a) (*.f64 (+.f64 a a) (neg.f64 b))) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b))) (neg.f64 (neg.f64 (+.f64 a a)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b)) (neg.f64 (+.f64 a a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a)) (/.f64 (neg.f64 (neg.f64 b)) (+.f64 a a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a)) (/.f64 b (+.f64 a a))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (+.f64 a a))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (neg.f64 (neg.f64 b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) |
(pow.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (fabs.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 (neg.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (fabs.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) b) |
(hypot.f64 (fabs.f64 b) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(hypot.f64 (fabs.f64 b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(neg.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 b b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(*.f64 a #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b))) |
(fabs.f64 (neg.f64 (*.f64 b b))) |
(fabs.f64 (*.f64 b b)) |
b |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(-.f64 a (neg.f64 a)) |
(+.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
(*.f64 (/.f64 c a) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 c a)) |
(pow.f64 (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 c #s(literal -4 binary64)) a) |
(sqrt.f64 (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
(fabs.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) |
(*.f64 c (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 c) (neg.f64 a)) |
(/.f64 c a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b)) (/.f64 b a)) |
(+.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b)) (/.f64 (neg.f64 b) a)) |
(*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b) |
(*.f64 b (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))) |
(/.f64 (fma.f64 (*.f64 b (neg.f64 c)) (neg.f64 a) (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 b (neg.f64 c)) a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (neg.f64 a) (*.f64 b (neg.f64 c)))) (*.f64 (neg.f64 a) (*.f64 b b))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 b (neg.f64 c)))) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 c)) (neg.f64 a)) (*.f64 (*.f64 b b) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 b b) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 c)) a) (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a)) |
(fma.f64 (/.f64 b (fabs.f64 b)) (/.f64 (neg.f64 c) (fabs.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(fma.f64 (/.f64 b (fabs.f64 b)) (/.f64 (neg.f64 c) (fabs.f64 b)) (/.f64 b a)) |
(fma.f64 (/.f64 b (neg.f64 b)) (/.f64 c b) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(fma.f64 (/.f64 b (neg.f64 b)) (/.f64 c b) (/.f64 b a)) |
(fma.f64 (/.f64 b b) (/.f64 (neg.f64 c) b) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(fma.f64 (/.f64 b b) (/.f64 (neg.f64 c) b) (/.f64 b a)) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b)) |
(-.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b) (/.f64 (neg.f64 b) a)) |
(+.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b) (/.f64 b a)) |
(+.f64 (/.f64 b a) (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c b)) |
(*.f64 (/.f64 c (neg.f64 b)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 b)) (/.f64 c (fabs.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) |
(*.f64 (/.f64 c b) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 c (fabs.f64 b)) (/.f64 #s(literal -1 binary64) (fabs.f64 b))) |
(*.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 c) b)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 b b))) |
(/.f64 (/.f64 (neg.f64 c) b) b) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(neg.f64 (/.f64 c (*.f64 b b))) |
(*.f64 #s(literal -1 binary64) c) |
(*.f64 c #s(literal -1 binary64)) |
(neg.f64 c) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (neg.f64 (*.f64 a (/.f64 c (fabs.f64 b))))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fabs.f64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
#s(approx (* -4 a) (*.f64 a #s(literal -4 binary64))) |
#s(approx a a) |
#s(approx (+ a a) (+.f64 a a)) |
#s(approx (/ (neg b) a) (/.f64 (neg.f64 b) a)) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* (/ c a) -4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a)) |
#s(approx (* (/ c a) -4) (*.f64 (/.f64 c a) #s(literal -4 binary64))) |
#s(approx (/ c a) (/.f64 c a)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 b a)) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 c a) b)) b) a)) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* (/ c a) -4)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (+.f64 (/.f64 (neg.f64 c) b) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal 1/2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx b b) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) #s(literal 1/2 binary64)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b)) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) (neg.f64 c)) b)) |
#s(approx (/ (neg c) (* b b)) (/.f64 (neg.f64 c) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) (neg.f64 c))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) #s(literal -1/2 binary64)))) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 c) (*.f64 b b))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b))) |
#s(approx c c) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (neg c) (neg.f64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64))) a)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a)) #s(literal -1/4 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))) c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (neg.f64 (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b)))) |
#s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))))) |
Compiled 4 435 to 1 564 computations (64.7% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 13 | 361 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 355 | 20 | 375 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a) (*.f64 (+.f64 a a) (neg.f64 b))) (*.f64 (+.f64 a a) (+.f64 a a))) | |
| ▶ | 49.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
| 38.7% | (/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) (+.f64 a a)) | |
| 14.7% | (/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (+.f64 a a)) | |
| 29.3% | (/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a)) | |
| 49.5% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) | |
| ✓ | 21.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
| 37.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 20.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) | |
| ▶ | 14.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
| 17.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) | |
| 31.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) | |
| ✓ | 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
| 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -4 binary64))))) | |
| ▶ | 28.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
| 13.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) | |
| 22.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b))) | |
| ▶ | 9.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
| ▶ | 31.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
Compiled 780 to 768 computations (1.5% saved)
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
(*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))) |
#s(literal -1/2 binary64) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c) |
(sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) |
(/.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 c a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(/.f64 a c) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* a -4) #s(hole binary64 (* -4 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a))) |
#s(approx (* (sqrt (/ -4 (* c a))) c) #s(hole binary64 (/ (* c (sqrt (* -4 (/ a c)))) a))) |
#s(approx (sqrt (/ -4 (* c a))) #s(hole binary64 (/ (sqrt (* -4 (/ a c))) a))) |
#s(approx (/ -4 (* c a)) #s(hole binary64 (/ -4 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (sqrt (* -4 (/ a c))))) |
#s(approx (* (/ a c) -4) #s(hole binary64 (* -4 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b))))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a))))) |
#s(approx (* (sqrt (/ -4 (* c a))) c) #s(hole binary64 (* c (sqrt (/ -4 (* a c)))))) |
#s(approx (sqrt (/ -4 (* c a))) #s(hole binary64 (sqrt (/ -4 (* a c))))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) #s(hole binary64 (* a (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* a (sqrt (/ -4 (* a c)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (/ (* (sqrt (* (/ a c) -4)) c) a) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -4 (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -1 (* a (sqrt (/ -4 (* a c))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (sqrt (* -4 (* a c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a)))) |
#s(approx (sqrt (/ -4 (* c a))) #s(hole binary64 (/ (sqrt (* -4 (/ c a))) c))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) c))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | -inf | ((/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ -4 (* c a))) c) (sqrt (/ -4 (* c a))) (/ -4 (* c a)) (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (/ (* (sqrt (* (/ a c) -4)) c) a) (* (sqrt (* (/ a c) -4)) c) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c)) |
| 8.0ms | a | @ | 0 | ((/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ -4 (* c a))) c) (sqrt (/ -4 (* c a))) (/ -4 (* c a)) (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (/ (* (sqrt (* (/ a c) -4)) c) a) (* (sqrt (* (/ a c) -4)) c) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c)) |
| 6.0ms | c | @ | inf | ((/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ -4 (* c a))) c) (sqrt (/ -4 (* c a))) (/ -4 (* c a)) (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (/ (* (sqrt (* (/ a c) -4)) c) a) (* (sqrt (* (/ a c) -4)) c) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c)) |
| 5.0ms | c | @ | -inf | ((/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ -4 (* c a))) c) (sqrt (/ -4 (* c a))) (/ -4 (* c a)) (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (/ (* (sqrt (* (/ a c) -4)) c) a) (* (sqrt (* (/ a c) -4)) c) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c)) |
| 4.0ms | a | @ | inf | ((/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ -4 (* c a))) c) (sqrt (/ -4 (* c a))) (/ -4 (* c a)) (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (/ (* (sqrt (* (/ a c) -4)) c) a) (* (sqrt (* (/ a c) -4)) c) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 735 | 5378 |
| 0 | 763 | 5127 |
| 1 | 4767 | 5034 |
| 0 | 8676 | 4793 |
| 1 | 19257 | 4793 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
(*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))) |
#s(literal -1/2 binary64) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c) |
(sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) |
(/.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 c a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(/.f64 a c) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* a -4) #s(hole binary64 (* -4 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a))) |
#s(approx (* (sqrt (/ -4 (* c a))) c) #s(hole binary64 (/ (* c (sqrt (* -4 (/ a c)))) a))) |
#s(approx (sqrt (/ -4 (* c a))) #s(hole binary64 (/ (sqrt (* -4 (/ a c))) a))) |
#s(approx (/ -4 (* c a)) #s(hole binary64 (/ -4 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (sqrt (* -4 (/ a c))))) |
#s(approx (* (/ a c) -4) #s(hole binary64 (* -4 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b))))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a))))) |
#s(approx (* (sqrt (/ -4 (* c a))) c) #s(hole binary64 (* c (sqrt (/ -4 (* a c)))))) |
#s(approx (sqrt (/ -4 (* c a))) #s(hole binary64 (sqrt (/ -4 (* a c))))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) #s(hole binary64 (* a (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* a (sqrt (/ -4 (* a c)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (/ (* (sqrt (* (/ a c) -4)) c) a) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -4 (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -1 (* a (sqrt (/ -4 (* a c))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (sqrt (* -4 (* a c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a)))) |
#s(approx (sqrt (/ -4 (* c a))) #s(hole binary64 (/ (sqrt (* -4 (/ c a))) c))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) c))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
| Outputs |
|---|
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)) (*.f64 (+.f64 a a) b)) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) (neg.f64 (neg.f64 (+.f64 a a)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (+.f64 a a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (+.f64 a a)) |
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)) (/.f64 b (+.f64 a a))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (+.f64 a a))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (fabs.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (fabs.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) |
(hypot.f64 (fabs.f64 b) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (fabs.f64 b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 b b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b))) |
(fabs.f64 (neg.f64 (*.f64 b b))) |
(fabs.f64 (*.f64 b b)) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(-.f64 a (neg.f64 a)) |
(+.f64 a a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64))) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal 1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 c b) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) (/.f64 c b))) |
(/.f64 (fma.f64 (neg.f64 c) a (*.f64 b b)) (*.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 c a (*.f64 b (neg.f64 b))) (*.f64 b a)) |
(/.f64 (fma.f64 b b (*.f64 a (neg.f64 c))) (*.f64 a (neg.f64 b))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 c a)) (*.f64 a b)) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a (neg.f64 c))) (*.f64 a b)) |
(/.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a)) |
(neg.f64 (-.f64 (/.f64 b a) (/.f64 c b))) |
(neg.f64 (-.f64 (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) (/.f64 (neg.f64 b) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 c b) #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (neg.f64 (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 c) b))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (/.f64 (neg.f64 b) a)) |
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(+.f64 (/.f64 (neg.f64 b) a) (neg.f64 (/.f64 (neg.f64 c) b))) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))) |
#s(literal -1/2 binary64) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c) |
(*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(fabs.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a))) |
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) c)) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) a)) (neg.f64 c)) |
(/.f64 (/.f64 #s(literal -4 binary64) c) a) |
(/.f64 (/.f64 #s(literal -4 binary64) a) c) |
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (*.f64 c a)))) |
(/.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 c a) |
(*.f64 a c) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) #s(literal -1/2 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) a) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) #s(literal -1/2 binary64)) a) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a)) |
(*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (neg.f64 a)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) |
(*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 a c)) |
(pow.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) a)) (neg.f64 c)) |
(/.f64 (*.f64 #s(literal -4 binary64) a) c) |
(sqrt.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(fabs.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 a (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(/.f64 a c) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (neg.f64 (*.f64 a (/.f64 c (fabs.f64 b))))) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fabs.f64 b) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* a -4) c) (* b b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (* a -4) (*.f64 #s(literal -4 binary64) a)) |
#s(approx a a) |
#s(approx (+ a a) (+.f64 a a)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (neg.f64 b) a)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* (/ c a) -4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) |
#s(approx (* (sqrt (/ -4 (* c a))) c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a))) |
#s(approx (sqrt (/ -4 (* c a))) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) |
#s(approx (/ -4 (* c a)) (/.f64 #s(literal -4 binary64) (*.f64 c a))) |
#s(approx (* c a) (*.f64 c a)) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a)) #s(literal -1/2 binary64))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) |
#s(approx (sqrt (* (/ a c) -4)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
#s(approx (* (/ a c) -4) (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
#s(approx (/ a c) (/.f64 a c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (- (/ c b) (/ b a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* (/ c a) -4)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(approx (* (sqrt (/ -4 (* c a))) c) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
#s(approx (sqrt (/ -4 (* c a))) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c) a)) |
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (+ (* (* a -4) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (* (/ (* (sqrt (* (/ a c) -4)) c) a) -1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (/ (* (sqrt (* (/ a c) -4)) c) a) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (* (sqrt (* (/ a c) -4)) c) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c) a))) |
#s(approx (sqrt (* (/ a c) -4)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal -5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx b b) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b)) |
#s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c))) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) (neg.f64 c))) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) #s(literal -1/2 binary64)))) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 c) (*.f64 b b))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b))) |
#s(approx c c) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (sqrt (/ -4 (* c a))) (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) c)) |
#s(approx (sqrt (* (/ a c) -4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 c a)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (pow.f64 c #s(literal 4 binary64))) a)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))) c))) c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)))) |
Compiled 4 104 to 1 557 computations (62.1% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 8 | 322 |
| Fresh | 7 | 5 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 321 | 21 | 342 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
| 38.7% | (/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) | |
| 29.3% | (/.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a)) | |
| 14.7% | (/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (+.f64 a a)) | |
| ▶ | 49.5% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
| ▶ | 37.9% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
| 20.2% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) | |
| 17.2% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 21.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ✓ | 14.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
| ▶ | 31.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
| ✓ | 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
| 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -4 binary64))))) | |
| ▶ | 29.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)))) |
| ✓ | 28.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
| 13.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) | |
| ✓ | 9.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
| ✓ | 31.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
| 9.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) | |
| ▶ | 22.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)))) |
Compiled 729 to 721 computations (1.1% saved)
| Inputs |
|---|
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (+.f64 a a)) |
#s(literal 1 binary64) |
(+.f64 a a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 b) |
(/.f64 #s(literal 1 binary64) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b))) |
#s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) |
(neg.f64 (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 b b) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)))) |
(*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c))) |
#s(literal -1/2 binary64) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c) |
(sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) |
(/.f64 (/.f64 #s(literal -4 binary64) a) c) |
(/.f64 #s(literal -4 binary64) a) |
| Outputs |
|---|
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* a -4) #s(hole binary64 (* -4 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ 1 (+ a a)) #s(hole binary64 (/ 1/2 a))) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (* (neg b) (/ 1 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a))) |
#s(approx (/ (+ (neg (/ (* b b) a)) c) b) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* -1 (/ (pow b 2) a)))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (/ (- (* a c) (pow b 2)) a))) |
#s(approx (/ (* b b) a) #s(hole binary64 (/ (pow b 2) a))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a))) |
#s(approx (* (sqrt (/ (/ -4 a) c)) c) #s(hole binary64 (/ (* c (sqrt (* -4 (/ a c)))) a))) |
#s(approx (sqrt (/ (/ -4 a) c)) #s(hole binary64 (/ (sqrt (* -4 (/ a c))) a))) |
#s(approx (/ (/ -4 a) c) #s(hole binary64 (/ -4 (* a c)))) |
#s(approx (/ -4 a) #s(hole binary64 (/ -4 a))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b))))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 c)) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (+ c (* -1 (/ (pow b 2) a))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a))))) |
#s(approx (* (sqrt (/ (/ -4 a) c)) c) #s(hole binary64 (* c (sqrt (/ -4 (* a c)))))) |
#s(approx (sqrt (/ (/ -4 a) c)) #s(hole binary64 (sqrt (/ -4 (* a c))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (sqrt (* -4 (* a c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* (pow b 2) (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a)))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (- c (/ (pow b 2) a)))) |
#s(approx (sqrt (/ (/ -4 a) c)) #s(hole binary64 (/ (sqrt (* -4 (/ c a))) c))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* c (+ 1 (* -1 (/ (pow b 2) (* a c))))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* -1 (* c (- (/ (pow b 2) (* a c)) 1))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | ((* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (/ 1 (+ a a)) 1 (+ a a) (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (neg b) (/ 1 a)) (neg b) (/ 1 a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ (+ (neg (/ (* b b) a)) c) b) (+ (neg (/ (* b b) a)) c) (neg (/ (* b b) a)) (/ (* b b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ (/ -4 a) c)) c) (sqrt (/ (/ -4 a) c)) (/ (/ -4 a) c) (/ -4 a)) |
| 4.0ms | a | @ | 0 | ((* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (/ 1 (+ a a)) 1 (+ a a) (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (neg b) (/ 1 a)) (neg b) (/ 1 a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ (+ (neg (/ (* b b) a)) c) b) (+ (neg (/ (* b b) a)) c) (neg (/ (* b b) a)) (/ (* b b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ (/ -4 a) c)) c) (sqrt (/ (/ -4 a) c)) (/ (/ -4 a) c) (/ -4 a)) |
| 4.0ms | a | @ | inf | ((* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (/ 1 (+ a a)) 1 (+ a a) (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (neg b) (/ 1 a)) (neg b) (/ 1 a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ (+ (neg (/ (* b b) a)) c) b) (+ (neg (/ (* b b) a)) c) (neg (/ (* b b) a)) (/ (* b b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ (/ -4 a) c)) c) (sqrt (/ (/ -4 a) c)) (/ (/ -4 a) c) (/ -4 a)) |
| 3.0ms | c | @ | -inf | ((* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (/ 1 (+ a a)) 1 (+ a a) (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (neg b) (/ 1 a)) (neg b) (/ 1 a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ (+ (neg (/ (* b b) a)) c) b) (+ (neg (/ (* b b) a)) c) (neg (/ (* b b) a)) (/ (* b b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ (/ -4 a) c)) c) (sqrt (/ (/ -4 a) c)) (/ (/ -4 a) c) (/ -4 a)) |
| 3.0ms | c | @ | inf | ((* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt (+ (* (* a -4) c) (* b b))) (+ (* (* a -4) c) (* b b)) (* a -4) a -4 c (* b b) b (/ 1 (+ a a)) 1 (+ a a) (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (neg b) (/ 1 a)) (neg b) (/ 1 a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ (+ (neg (/ (* b b) a)) c) b) (+ (neg (/ (* b b) a)) c) (neg (/ (* b b) a)) (/ (* b b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (sqrt (/ (/ -4 a) c)) c) (sqrt (/ (/ -4 a) c)) (/ (/ -4 a) c) (/ -4 a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 751 | 5481 |
| 0 | 781 | 5137 |
| 1 | 4898 | 5044 |
| 0 | 8940 | 4805 |
| 1 | 19864 | 4805 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (+.f64 a a)) |
#s(literal 1 binary64) |
(+.f64 a a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 b) |
(/.f64 #s(literal 1 binary64) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b))) |
#s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b) |
(+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) |
(neg.f64 (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 b b) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)))) |
(*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c))) |
#s(literal -1/2 binary64) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c) |
(sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) |
(/.f64 (/.f64 #s(literal -4 binary64) a) c) |
(/.f64 #s(literal -4 binary64) a) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* a -4) #s(hole binary64 (* -4 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ 1 (+ a a)) #s(hole binary64 (/ 1/2 a))) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (* (neg b) (/ 1 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a))) |
#s(approx (/ (+ (neg (/ (* b b) a)) c) b) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* -1 (/ (pow b 2) a)))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (/ (- (* a c) (pow b 2)) a))) |
#s(approx (/ (* b b) a) #s(hole binary64 (/ (pow b 2) a))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a))) |
#s(approx (* (sqrt (/ (/ -4 a) c)) c) #s(hole binary64 (/ (* c (sqrt (* -4 (/ a c)))) a))) |
#s(approx (sqrt (/ (/ -4 a) c)) #s(hole binary64 (/ (sqrt (* -4 (/ a c))) a))) |
#s(approx (/ (/ -4 a) c) #s(hole binary64 (/ -4 (* a c)))) |
#s(approx (/ -4 a) #s(hole binary64 (/ -4 a))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (sqrt (* -4 (/ c a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b))))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 c)) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (+ c (* -1 (/ (pow b 2) a))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a)))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a))))) |
#s(approx (* (sqrt (/ (/ -4 a) c)) c) #s(hole binary64 (* c (sqrt (/ -4 (* a c)))))) |
#s(approx (sqrt (/ (/ -4 a) c)) #s(hole binary64 (sqrt (/ -4 (* a c))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (sqrt (* -4 (* a c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c)))))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b))) |
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* (pow b 2) (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -2 b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a)))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (- c (/ (pow b 2) a)))) |
#s(approx (sqrt (/ (/ -4 a) c)) #s(hole binary64 (/ (sqrt (* -4 (/ c a))) c))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (sqrt (* -4 (/ a c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* c (+ 1 (* -1 (/ (pow b 2) (* a c))))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a)))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/ 1 (+ a a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c))))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))) |
#s(approx (+ (* (* a -4) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (neg (/ (* b b) a)) c) #s(hole binary64 (* -1 (* c (- (/ (pow b 2) (* a c)) 1))))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)) (*.f64 (+.f64 a a) b)) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 1 binary64))) (neg.f64 (+.f64 a a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))) (neg.f64 (neg.f64 (+.f64 a a)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 1 binary64)) (+.f64 a a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (neg.f64 (+.f64 a a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (+.f64 a a)) |
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a))) |
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(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)) (/.f64 b (+.f64 a a))) |
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(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
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(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
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(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
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(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 (fabs.f64 b))) |
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(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
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(neg.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 b b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b))) |
(fabs.f64 (neg.f64 (*.f64 b b))) |
(fabs.f64 (*.f64 b b)) |
b |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(pow.f64 (+.f64 a a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 a a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 a a)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(-.f64 a (neg.f64 a)) |
(+.f64 a a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
(*.f64 #s(literal -1 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1 binary64)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(*.f64 #s(literal -1 binary64) c) |
(*.f64 c #s(literal -1 binary64)) |
(neg.f64 c) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) 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) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) a) |
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#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b))) |
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(/.f64 (neg.f64 (-.f64 c (*.f64 b (/.f64 b a)))) (neg.f64 b)) |
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(-.f64 (/.f64 (/.f64 (*.f64 b b) (neg.f64 a)) b) (/.f64 (neg.f64 c) b)) |
(-.f64 (/.f64 c b) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b a))) b)) |
(-.f64 (/.f64 c b) (/.f64 (neg.f64 (/.f64 (*.f64 b b) (neg.f64 a))) b)) |
(-.f64 (/.f64 c b) (/.f64 (*.f64 b (/.f64 b a)) b)) |
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(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (/.f64 b a)) c)) |
(neg.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 b b) (neg.f64 a)))) |
(neg.f64 (-.f64 (*.f64 b (/.f64 b a)) c)) |
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(fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1 binary64) (neg.f64 (neg.f64 c))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b a)) (*.f64 #s(literal 1 binary64) c)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b a)) (neg.f64 (neg.f64 c))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b a)) c) |
(-.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 c)) |
(-.f64 c (*.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b a)))) |
(-.f64 c (neg.f64 (/.f64 (*.f64 b b) (neg.f64 a)))) |
(-.f64 c (*.f64 b (/.f64 b a))) |
(+.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (*.f64 #s(literal 1 binary64) c)) |
(+.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 (neg.f64 c))) |
(+.f64 (/.f64 (*.f64 b b) (neg.f64 a)) c) |
(+.f64 c (/.f64 (*.f64 b b) (neg.f64 a))) |
(*.f64 (*.f64 b (/.f64 b a)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 b b))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) a) |
(/.f64 (neg.f64 (*.f64 b b)) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 b b)) a) |
(/.f64 (*.f64 b b) (neg.f64 a)) |
(neg.f64 (*.f64 b (/.f64 b a))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 b (/.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 b b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 b b)) (neg.f64 a)) |
(/.f64 (*.f64 b b) a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))) |
#s(literal -1/2 binary64) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c) |
(*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(fabs.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -4 binary64) a))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) a)) (neg.f64 c)) |
(/.f64 (/.f64 #s(literal -4 binary64) a) c) |
(/.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c)) |
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (*.f64 c a)))) |
(/.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 4 binary64) (neg.f64 a)) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal -4 binary64) a) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (neg.f64 (*.f64 a (/.f64 c (fabs.f64 b))))) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fabs.f64 b) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* a -4) c) (* b b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (* a -4) (*.f64 #s(literal -4 binary64) a)) |
#s(approx a a) |
#s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (+ a a) (+.f64 a a)) |
#s(approx (* (neg b) (/ 1 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) |
#s(approx (/ (+ (neg (/ (* b b) a)) c) b) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)) |
#s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) |
#s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) a)) |
#s(approx (/ (* b b) a) (*.f64 b (/.f64 b a))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* (/ c a) -4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) |
#s(approx (* (sqrt (/ (/ -4 a) c)) c) (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a)) |
#s(approx (sqrt (/ (/ -4 a) c)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) |
#s(approx (/ (/ -4 a) c) (/.f64 #s(literal -4 binary64) (*.f64 c a))) |
#s(approx (/ -4 a) (/.f64 #s(literal -4 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) a)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (- (/ c b) (/ b a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (+ (neg (/ (* b b) a)) c) c) |
#s(approx (+ (neg (/ (* b b) a)) c) (-.f64 c (*.f64 b (/.f64 b a)))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* (/ c a) -4)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) |
#s(approx (* (sqrt (/ (/ -4 a) c)) c) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)) |
#s(approx (sqrt (/ (/ -4 a) c)) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) |
#s(approx (+ (* (* a -4) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal -5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx b b) |
#s(approx (/ (neg c) b) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b)) a)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b)) |
#s(approx (- (/ c b) (/ b a)) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c))) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) (neg.f64 c))) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal -6 binary64))) #s(literal -1/2 binary64)))) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (+ (neg (/ (* b b) a)) c) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 c) (*.f64 b b))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal -6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal -4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -4 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b))) |
#s(approx (neg c) (neg.f64 c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
#s(approx (+ (neg (/ (* b b) a)) c) (-.f64 c (*.f64 b (/.f64 b a)))) |
#s(approx (sqrt (/ (/ -4 a) c)) (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64))) a)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b))) |
#s(approx (+ (neg (/ (* b b) a)) c) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 c a))) #s(literal 1 binary64)) c)) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c))))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))) c))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* a -4) c) (* b b))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) |
#s(approx (+ (* (* a -4) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ (neg (/ (* b b) a)) c) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) (/.f64 b a) #s(literal -1 binary64)))) |
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))) |
Compiled 4 355 to 1 707 computations (60.8% saved)
23 alts after pruning (12 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 4 | 348 |
| Fresh | 0 | 8 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 346 | 23 | 369 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
| 38.7% | (/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) | |
| 29.3% | (/.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a)) | |
| 14.7% | (/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (+.f64 a a)) | |
| 29.2% | (*.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a a))) | |
| ✓ | 37.9% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
| 20.2% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) | |
| 17.2% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) | |
| 37.8% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) | |
| 25.7% | #s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b)))) | |
| ✓ | 21.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ✓ | 14.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
| ✓ | 31.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
| ✓ | 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
| 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -4 binary64))))) | |
| ✓ | 29.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)))) |
| ✓ | 28.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
| 13.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) | |
| ✓ | 9.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
| ✓ | 31.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
| 9.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) | |
| 22.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 #s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) b)))) |
Compiled 988 to 703 computations (28.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) (+.f64 a a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 #s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -4 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))) |
(*.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c)) |
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (+.f64 a a) (*.f64 (+.f64 a a) (neg.f64 b))) (*.f64 (+.f64 a a) (+.f64 a a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 12.0ms | a |
| 10.0ms | c |
| 10.0ms | b |
| 9.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 51.4% | 2 | a |
| 84.1% | 3 | b |
| 53.1% | 3 | c |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) (+.f64 a a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 #s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a)) |
(/.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -4 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) a) c)) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))) |
(*.f64 #s(approx (- (sqrt (+ (* (* a -4) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a a))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) (+.f64 a a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 #s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (-.f64 c (*.f64 b (/.f64 b a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
2 calls:
| 5.0ms | b |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 73.4% | 3 | b |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) (+.f64 a a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 #s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) (+.f64 a a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* a -4) c) (* b b))) (fabs.f64 b)) b) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(approx (- (/ c b) (/ b a)) (/.f64 #s(approx (+ (neg (/ (* b b) a)) c) (/.f64 (*.f64 b b) (neg.f64 a))) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (* (sqrt (* (/ c a) -4)) 1/2)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (- (sqrt (+ (* (* a -4) c) (* b b))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
4 calls:
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.8% | 1 | a |
| 31.8% | 1 | c |
| 31.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 38.2% | 2 | b |
Compiled 17 to 23 computations (-35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))) |
4 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.2% | 1 | a |
| 9.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 9.2% | 1 | c |
| 9.2% | 1 | b |
Compiled 17 to 23 computations (-35.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.5994407713458995e-84 | 2.4391070507161565e-81 |
| 11.0ms | -2.9948043759700643e+157 | -1.6400297245805039e+152 |
| 13.0ms | 153× | 0 | valid |
| 5.0ms | 38× | 1 | valid |
| 3.0ms | 17× | 2 | valid |
| 2.0ms | 28× | 0 | invalid |
Compiled 429 to 450 computations (-4.9% saved)
ival-mult!: 8.0ms (49.8% of total)ival-sqrt: 2.0ms (12.4% of total)adjust: 1.0ms (6.2% of total)ival-sub!: 1.0ms (6.2% of total)ival-add!: 1.0ms (6.2% of total)ival-neg: 1.0ms (6.2% of total)ival-div!: 1.0ms (6.2% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.5994407713458995e-84 | 2.4391070507161565e-81 |
| 17.0ms | -7.196601208298449e-148 | -9.129043322343826e-155 |
| 9.0ms | 144× | 0 | valid |
| 2.0ms | 35× | 0 | invalid |
Compiled 696 to 721 computations (-3.6% saved)
ival-mult!: 3.0ms (44.2% of total)ival-sqrt: 1.0ms (14.7% of total)ival-neg: 1.0ms (14.7% of total)ival-div!: 1.0ms (14.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 4.464198280495031e-193 | 6.863855778319643e-193 |
| 8.0ms | -7.196601208298449e-148 | -9.129043322343826e-155 |
| 7.0ms | 119× | 0 | valid |
| 2.0ms | 33× | 0 | invalid |
| 1.0ms | 9× | 1 | valid |
Compiled 595 to 612 computations (-2.9% saved)
ival-mult!: 3.0ms (45.5% of total)ival-sqrt: 1.0ms (15.2% of total)ival-div!: 1.0ms (15.2% of total)ival-neg: 1.0ms (15.2% of total)adjust: 0.0ms (0% of total)ival-sub!: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6326044822959324e-196 | 1.1920752746125178e-195 |
| 19.0ms | -9.129043322343826e-155 | -3.3700281218505115e-161 |
| 14.0ms | 228× | 0 | valid |
| 6.0ms | 94× | 0 | invalid |
| 1.0ms | 12× | 1 | valid |
Compiled 671 to 692 computations (-3.1% saved)
ival-mult!: 6.0ms (45.2% of total)ival-sqrt: 2.0ms (15.1% of total)ival-div!: 2.0ms (15.1% of total)ival-neg: 2.0ms (15.1% of total)ival-sub!: 1.0ms (7.5% of total)ival-add!: 1.0ms (7.5% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -1.165631129462373e-299 | 9.206782279943298e-305 |
| 10.0ms | 160× | 0 | valid |
| 4.0ms | 68× | 0 | invalid |
Compiled 450 to 460 computations (-2.2% saved)
ival-mult!: 4.0ms (46.3% of total)ival-sqrt: 2.0ms (23.1% of total)ival-add!: 1.0ms (11.6% of total)ival-neg: 1.0ms (11.6% of total)ival-div!: 1.0ms (11.6% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.165631129462373e-299 | 9.206782279943298e-305 |
Compiled 360 to 380 computations (-5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 7.597045167857684e-7 | 6.5390432049843215 |
| 6.0ms | 52× | 1 | valid |
| 6.0ms | 37× | 2 | valid |
| 3.0ms | 53× | 0 | valid |
| 1.0ms | 21× | 0 | invalid |
| 0.0ms | 2× | 3 | valid |
Compiled 389 to 398 computations (-2.3% saved)
ival-mult!: 4.0ms (32.3% of total)adjust: 3.0ms (24.2% of total)ival-sqrt: 2.0ms (16.2% of total)ival-sub!: 1.0ms (8.1% of total)ival-div!: 1.0ms (8.1% of total)ival-add!: 1.0ms (8.1% of total)ival-neg: 1.0ms (8.1% of total)| 1× | fuel |
Compiled 144 to 89 computations (38.2% saved)
Compiled 237 to 131 computations (44.7% saved)
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