
Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 467.0ms | 5 499× | 0 | valid |
| 341.0ms | 1 191× | 2 | valid |
| 157.0ms | 1 352× | 1 | valid |
| 58.0ms | 903× | 0 | invalid |
| 47.0ms | 214× | 3 | valid |
ival-mult!: 219.0ms (29.5% of total)adjust: 188.0ms (25.3% of total)ival-sqrt: 113.0ms (15.2% of total)ival-neg: 72.0ms (9.7% of total)ival-div!: 71.0ms (9.6% of total)ival-sub!: 42.0ms (5.7% of total)ival-add!: 39.0ms (5.2% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 175 |
| 1 | 252 | 160 |
| 2 | 1028 | 160 |
| 3 | 4707 | 160 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 28 to 24 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 3 (* a c))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 3 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 3.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 3.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 2.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 2.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 619 | 4586 |
| 0 | 633 | 4394 |
| 1 | 4407 | 4306 |
| 0 | 9589 | 3974 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 3 (* a c))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 3 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
| Outputs |
|---|
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))) (neg.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 b)) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (neg.f64 (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b)))) (fabs.f64 b) (neg.f64 b)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 b) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
b |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b)))) (fabs.f64 b)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 b)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(hypot.f64 (exp.f64 (log.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(hypot.f64 (exp.f64 (log.f64 b)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (exp.f64 (log.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (fabs.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 b)) |
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (exp.f64 (log.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 (neg.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 (fabs.f64 b))) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (fabs.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b)) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) |
(hypot.f64 (fabs.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(hypot.f64 (fabs.f64 b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(hypot.f64 b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))))) |
(neg.f64 (-.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 b b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
(fabs.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(*.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 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 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 (*.f64 b b)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -9/16 binary64))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fabs.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (* (* 3 a) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
#s(approx (* 3 a) (*.f64 a #s(literal 3 binary64))) |
#s(approx a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/6 binary64))) a))) a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (*.f64 #s(literal -3 binary64) c)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a))) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx b b) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 #s(literal -3 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 -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b))) |
#s(approx c c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) c)) (*.f64 #s(literal -3 binary64) a)) c))) |
Compiled 3 779 to 1 186 computations (68.6% saved)
25 alts after pruning (25 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 25 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 211 | 25 | 236 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| 55.5% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) | |
| 55.3% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 34.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| 49.4% | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 16.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 16.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 31.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
| 12.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))) | |
| ▶ | 66.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| 58.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) | |
| 17.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) | |
| 27.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 61.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) | |
| 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) | |
| 34.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 16.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) | |
| 12.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) | |
| 16.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| 33.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 21.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) | |
| 20.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) | |
| ▶ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 990 to 954 computations (3.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(/.f64 c (fabs.f64 b)) |
c |
(fabs.f64 b) |
b |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (fabs.f64 b) b) |
a |
#s(literal 1/3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
#s(literal -3 binary64) |
(*.f64 c a) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 b b) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a)))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (sqrt (* -3 (* a c))))) |
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (- (sqrt (pow b 2)) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/2 (/ c (fabs b))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (sqrt (* -3 (/ c a)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a))))))) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) (* -1/3 b)) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a)))))) |
#s(approx (/ c (fabs b)) #s(hole binary64 (/ c (fabs b)))) |
#s(approx (fabs b) #s(hole binary64 (fabs b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a)))) |
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 3 (* a c))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 3 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (sqrt (* -3 (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (sqrt (* -3 (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* 1/6 (/ b (sqrt (* -3 (* a c))))) 1/3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/6 (/ 1 (sqrt (* -3 (* a c))))))) 1/3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a)))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a)))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a)))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a)))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* -3/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (sqrt (* -3 (/ a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (sqrt (* -3 (/ a c)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* c (sqrt (* -3 (/ a c))))))) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) (* -1/3 b)) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 8.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 4.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 4.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 4.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 968 | 7384 |
| 0 | 1005 | 6737 |
| 1 | 7189 | 6737 |
| 0 | 8736 | 6536 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(/.f64 c (fabs.f64 b)) |
c |
(fabs.f64 b) |
b |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (fabs.f64 b) b) |
a |
#s(literal 1/3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
(sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
#s(literal -3 binary64) |
(*.f64 c a) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a)))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (sqrt (* -3 (* a c))))) |
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (- (sqrt (pow b 2)) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/2 (/ c (fabs b))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (sqrt (* -3 (/ c a)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a))))))) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) (* -1/3 b)) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a)))))) |
#s(approx (/ c (fabs b)) #s(hole binary64 (/ c (fabs b)))) |
#s(approx (fabs b) #s(hole binary64 (fabs b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a)))) |
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 3 (* a c))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 3 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (sqrt (* -3 (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (sqrt (* -3 (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* 1/6 (/ b (sqrt (* -3 (* a c))))) 1/3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/6 (/ 1 (sqrt (* -3 (* a c))))))) 1/3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a)))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a)))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a)))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a)))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* -3/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (sqrt (* -3 (/ a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (sqrt (* -3 (/ a c)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* c (sqrt (* -3 (/ a c))))))) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) (* -1/3 b)) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
| Outputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) (-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c (fabs.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a))) |
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 (fabs.f64 b) b) a)) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(*.f64 c (/.f64 #s(literal 1 binary64) (fabs.f64 b))) |
(/.f64 (neg.f64 c) (neg.f64 (fabs.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) |
(/.f64 c (fabs.f64 b)) |
c |
(*.f64 (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 b b)) |
(fabs.f64 (fabs.f64 b)) |
(fabs.f64 (neg.f64 b)) |
(fabs.f64 b) |
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 1/2 binary64))) |
b |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a)) |
(/.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (fabs.f64 b) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (fabs.f64 b) b)) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (fabs.f64 b) b))) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (/.f64 (fabs.f64 b) a) (/.f64 b a)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) b)) (fabs.f64 b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (fabs.f64 b))) (fabs.f64 b)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (fabs.f64 b) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fabs.f64 b) b)) |
(/.f64 (fma.f64 (fabs.f64 b) (*.f64 b b) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 b b) (*.f64 (fabs.f64 b) (neg.f64 b))))) |
(/.f64 (-.f64 (*.f64 (fabs.f64 b) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b)))) |
(neg.f64 (-.f64 b (fabs.f64 b))) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (fabs.f64 b)) |
(fma.f64 b #s(literal -1 binary64) (fabs.f64 b)) |
(-.f64 (fabs.f64 b) (*.f64 #s(literal 1 binary64) b)) |
(-.f64 (fabs.f64 b) (neg.f64 (neg.f64 b))) |
(-.f64 (fabs.f64 b) b) |
(+.f64 (fabs.f64 b) (neg.f64 b)) |
(+.f64 (neg.f64 b) (fabs.f64 b)) |
a |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
#s(literal -2/3 binary64) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
(*.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) c) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 c a)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c (*.f64 #s(literal -3 binary64) a)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a))) |
(neg.f64 (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
#s(literal -3 binary64) |
(*.f64 c a) |
(*.f64 a c) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)))) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b))) (neg.f64 b)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 b) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 (neg.f64 b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 b)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))))) |
(neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (fabs.f64 b))) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 (fabs.f64 b) (*.f64 b b)))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (fabs.f64 b))) a)) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (-.f64 (fabs.f64 b) b) a)) |
#s(approx a a) |
#s(approx (* -2/3 (/ b a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fabs.f64 b) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (* -3 (* c a))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (* -3 (* c a)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (* c a) (*.f64 c a)) |
#s(approx (* 3 a) (*.f64 a #s(literal 3 binary64))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fabs.f64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (fabs.f64 b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 (fabs.f64 b) (*.f64 b b)))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (* -3 a) (*.f64 #s(literal -3 binary64) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 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 -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/6 binary64))) a))) a)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -3 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 -3 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/6 binary64))) a))) a))) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
#s(approx (/ c (fabs b)) (/.f64 c (fabs.f64 b))) |
#s(approx (fabs b) (fabs.f64 b)) |
#s(approx b b) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (fabs.f64 b) a)) |
#s(approx (/ (- (fabs b) b) a) (+.f64 (/.f64 (fabs.f64 b) a) (/.f64 (neg.f64 b) a))) |
#s(approx (- (fabs b) b) (-.f64 (fabs.f64 b) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 #s(literal -1/3 binary64) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/6 binary64) #s(literal -1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b #s(literal -1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (*.f64 (fabs.f64 b) b)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (-.f64 (*.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (fabs b) b) a) (*.f64 (-.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (- (fabs b) b) (*.f64 (-.f64 (/.f64 (fabs.f64 b) b) #s(literal 1 binary64)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64))))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (/ (- (fabs b) b) a) (neg.f64 (fma.f64 b (neg.f64 (/.f64 (fabs.f64 b) (*.f64 a b))) (/.f64 b a)))) |
#s(approx (- (fabs b) b) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) b)) #s(literal 1 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -3/8 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.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 -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (*.f64 b b)))) #s(literal 2/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx c c) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 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 -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -1/2 binary64))) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c)) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) c)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c)) a)) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 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 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) c))) |
Compiled 5 413 to 1 821 computations (66.4% saved)
34 alts after pruning (30 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 29 | 360 |
| Fresh | 19 | 1 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 351 | 34 | 385 |
| Status | Accuracy | Program |
|---|---|---|
| 55.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) a) | |
| 31.9% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) | |
| 55.3% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 34.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 55.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
| 16.9% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) | |
| ▶ | 12.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
| 20.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) | |
| 31.8% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) | |
| 34.5% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 16.4% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 12.1% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 20.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 31.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 58.3% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) | |
| 17.2% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) | |
| 31.8% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) | |
| ▶ | 34.8% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
| 33.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 21.0% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) | |
| 20.1% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) | |
| ✓ | 66.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| ▶ | 66.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| 23.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (pow.f64 (/.f64 c (fabs.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))))) | |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) | |
| 35.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) | |
| 52.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))) |
Compiled 1 401 to 1 334 computations (4.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) |
#s(literal 1 binary64) |
(/.f64 (fabs.f64 b) c) |
(fabs.f64 b) |
b |
c |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (fabs.f64 b) b) |
a |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(literal -3 binary64) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) c) |
#s(literal -1/3 binary64) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(/.f64 a c) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 b b) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a)))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (- (sqrt (pow b 2)) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* -1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (sqrt (* -3 (/ a c))))) |
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/2 (/ c (fabs b))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (sqrt (* -3 (/ c a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* -1/3 (* a (* c (sqrt (/ -3 (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* a (sqrt (/ -3 (* a c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (sqrt (* -3 (/ c a)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a))))))) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) (* -1/3 b)) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* 1/3 (* a (* c (sqrt (/ -3 (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* -1 (* a (sqrt (/ -3 (* a c))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a)))))) |
#s(approx (/ 1 (/ (fabs b) c)) #s(hole binary64 (/ c (fabs b)))) |
#s(approx (/ (fabs b) c) #s(hole binary64 (/ (fabs b) c))) |
#s(approx (fabs b) #s(hole binary64 (fabs b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a)))) |
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ c b) -1/2) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ c b) #s(hole binary64 (/ c b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (sqrt (* -3 (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (sqrt (* -3 (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* 1/6 (/ b (sqrt (* -3 (* a c))))) 1/3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/6 (/ 1 (sqrt (* -3 (* a c))))))) 1/3))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (sqrt (* -3 (* a c))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a)))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a)))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a)))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 b))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a)))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -2 b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* -3/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* -1/3 (sqrt (* -3 (* a c)))))) |
#s(approx (* -1/3 c) #s(hole binary64 (* -1/3 c))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (sqrt (* -3 (/ a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c)))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* -1/3 (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (sqrt (* -3 (/ a c)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* c (sqrt (* -3 (/ a c))))))) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) (* -1/3 b)) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ 1 (/ (fabs b) c)) 1 (/ (fabs b) c) (fabs b) b c -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (/ c b) -1/2) (/ c b) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (* (* -1/3 c) (sqrt (* (/ a c) -3))) (* -1/3 c) -1/3 (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 32.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ 1 (/ (fabs b) c)) 1 (/ (fabs b) c) (fabs b) b c -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (/ c b) -1/2) (/ c b) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (* (* -1/3 c) (sqrt (* (/ a c) -3))) (* -1/3 c) -1/3 (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 9.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ 1 (/ (fabs b) c)) 1 (/ (fabs b) c) (fabs b) b c -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (/ c b) -1/2) (/ c b) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (* (* -1/3 c) (sqrt (* (/ a c) -3))) (* -1/3 c) -1/3 (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 8.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ 1 (/ (fabs b) c)) 1 (/ (fabs b) c) (fabs b) b c -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (/ c b) -1/2) (/ c b) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (* (* -1/3 c) (sqrt (* (/ a c) -3))) (* -1/3 c) -1/3 (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
| 5.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ 1 (/ (fabs b) c)) 1 (/ (fabs b) c) (fabs b) b c -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (/ c b) -1/2) (/ c b) (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (* (* -1/3 c) (sqrt (* (/ a c) -3))) (* -1/3 c) -1/3 (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (/ (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 a) c) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 955 | 7174 |
| 0 | 997 | 6646 |
| 1 | 6757 | 6646 |
| 0 | 8316 | 6459 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) |
#s(literal 1 binary64) |
(/.f64 (fabs.f64 b) c) |
(fabs.f64 b) |
b |
c |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (fabs.f64 b) b) |
a |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(literal -3 binary64) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) c) |
#s(literal -1/3 binary64) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(/.f64 a c) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a)))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a)))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (- (sqrt (pow b 2)) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* -1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (sqrt (* -3 (/ a c))))) |
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/2 (/ c (fabs b))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (sqrt (* -3 (/ c a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* -1/3 (* a (* c (sqrt (/ -3 (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* a (sqrt (/ -3 (* a c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/3 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (sqrt (* -3 (/ c a)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a))))))) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) (* -1/3 b)) a)) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* 1/3 (* a (* c (sqrt (/ -3 (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* -1 (* a (sqrt (/ -3 (* a c))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a)))))) |
#s(approx (/ 1 (/ (fabs b) c)) #s(hole binary64 (/ c (fabs b)))) |
#s(approx (/ (fabs b) c) #s(hole binary64 (/ (fabs b) c))) |
#s(approx (fabs b) #s(hole binary64 (fabs b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a)))) |
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ c b) -1/2) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ c b) #s(hole binary64 (/ c b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (sqrt (* -3 (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (sqrt (* -3 (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* 1/6 (/ b (sqrt (* -3 (* a c))))) 1/3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (sqrt (* -3 (* a c)))) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/6 (/ 1 (sqrt (* -3 (* a c))))))) 1/3))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (sqrt (* -3 (* a c))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* a c)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a)))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a)))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a)))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 b))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a)))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -2 b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* -3/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* c (+ (* -1/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) #s(hole binary64 (* -1/3 (sqrt (* -3 (* a c)))))) |
#s(approx (* -1/3 c) #s(hole binary64 (* -1/3 c))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* 1/3 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (sqrt (* -3 (/ a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))) (* 1/3 (sqrt (* -3 (/ a c)))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* -1/3 (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (sqrt (* -3 (/ a c)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (/ (pow b 2) (* c (sqrt (* -3 (/ a c))))))) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/6 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) (* -1/3 b)) c)) (* 1/3 (sqrt (* -3 (/ a c))))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
| Outputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) (-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c (fabs.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 (fabs.f64 b) b) a)) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a))) |
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) c) |
(*.f64 #s(literal 1 binary64) (/.f64 c (fabs.f64 b))) |
(*.f64 c (/.f64 #s(literal 1 binary64) (fabs.f64 b))) |
(pow.f64 (/.f64 (fabs.f64 b) c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 c) (neg.f64 (fabs.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 b) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) |
(/.f64 c (fabs.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 b) c)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (neg.f64 (fabs.f64 b)) (neg.f64 c)) |
(/.f64 (fabs.f64 b) c) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fabs.f64 b))) |
(*.f64 (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 b b)) |
(fabs.f64 (fabs.f64 b)) |
(fabs.f64 (neg.f64 b)) |
(fabs.f64 b) |
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 1/2 binary64))) |
b |
c |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a)) |
(/.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (fabs.f64 b) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (fabs.f64 b) b)) (neg.f64 a)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (fabs.f64 b) b))) |
(-.f64 (/.f64 (fabs.f64 b) a) (/.f64 b a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (fabs.f64 b))) (fabs.f64 b)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) b)) (fabs.f64 b)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (fabs.f64 b) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fabs.f64 b) b)) |
(/.f64 (fma.f64 (fabs.f64 b) (*.f64 b b) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 b b) (*.f64 (fabs.f64 b) (neg.f64 b))))) |
(/.f64 (-.f64 (*.f64 (fabs.f64 b) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b)))) |
(neg.f64 (-.f64 b (fabs.f64 b))) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (fabs.f64 b)) |
(fma.f64 b #s(literal -1 binary64) (fabs.f64 b)) |
(-.f64 (fabs.f64 b) (*.f64 #s(literal 1 binary64) b)) |
(-.f64 (fabs.f64 b) (neg.f64 (neg.f64 b))) |
(-.f64 (fabs.f64 b) b) |
(+.f64 (fabs.f64 b) (neg.f64 b)) |
(+.f64 (neg.f64 b) (fabs.f64 b)) |
a |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(*.f64 c (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(/.f64 c b) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (/.f64 c a) #s(literal 1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c a) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 c a)) |
(/.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 c (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 c) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a c)) |
(/.f64 c a) |
#s(literal -3 binary64) |
(*.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64)))) (neg.f64 a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64))) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) c)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) |
(*.f64 #s(literal -1/3 binary64) c) |
(*.f64 c #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 (pow.f64 (/.f64 a c) #s(literal 1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 a c) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 a c)) |
(/.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 a (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 a c) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) (neg.f64 a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) #s(literal -3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))) (neg.f64 b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 b b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 b) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 (neg.f64 b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) |
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)) (fabs.f64 b)) |
(pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))))) |
(neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (neg.f64 (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (fabs.f64 b))) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 (fabs.f64 b) (*.f64 b b)))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (fabs.f64 b))) a)) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (-.f64 (fabs.f64 b) b) a)) |
#s(approx a a) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) |
#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
#s(approx (/ c a) (/.f64 c a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (fabs.f64 b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 (fabs.f64 b) (*.f64 b b)))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) #s(literal -1/3 binary64))) |
#s(approx (sqrt (* (/ a c) -3)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
#s(approx (* (/ a c) -3) (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
#s(approx (/ a c) (/.f64 a c)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (-.f64 (fabs.f64 b) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (-.f64 (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fabs.f64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
#s(approx (* -3 a) (*.f64 #s(literal -3 binary64) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a)) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) |
#s(approx (sqrt (* (/ a c) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) a)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/6 binary64))) a))) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/6 binary64))) a))) a))) a))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) (*.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) |
#s(approx (sqrt (* (/ a c) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) a))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (- (sqrt (+ (* (* -3 a) 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 -3 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 c #s(literal 3 binary64) (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
#s(approx (/ 1 (/ (fabs b) c)) (/.f64 c (fabs.f64 b))) |
#s(approx (/ (fabs b) c) (/.f64 (fabs.f64 b) c)) |
#s(approx (fabs b) (fabs.f64 b)) |
#s(approx b b) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (fabs.f64 b) a)) |
#s(approx (/ (- (fabs b) b) a) (+.f64 (/.f64 (fabs.f64 b) a) (/.f64 (neg.f64 b) a))) |
#s(approx (- (fabs b) b) (-.f64 (fabs.f64 b) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) |
#s(approx (* (/ c b) -1/2) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ c b) (/.f64 c b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/6 binary64) #s(literal -1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b #s(literal -1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (*.f64 (fabs.f64 b) b)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (-.f64 (*.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (fabs b) b) a) (*.f64 (-.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (- (fabs b) b) (neg.f64 b)) |
#s(approx (- (fabs b) b) (*.f64 (-.f64 (/.f64 (fabs.f64 b) b) #s(literal 1 binary64)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 c a) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64))))) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (/ (- (fabs b) b) a) (neg.f64 (fma.f64 b (neg.f64 (/.f64 (fabs.f64 b) (*.f64 a b))) (/.f64 b a)))) |
#s(approx (- (fabs b) b) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) b)) #s(literal 1 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -3/8 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.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 -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (*.f64 b b)))) #s(literal 2/3 binary64)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (- (sqrt (+ (* (* -3 a) 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal 5 binary64))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx c c) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -1/2 binary64))) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) |
#s(approx (* (* -1/3 c) (sqrt (* (/ a c) -3))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (* -1/3 c) (*.f64 #s(literal -1/3 binary64) c)) |
#s(approx (sqrt (* (/ a c) -3)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) c)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)) b)) |
#s(approx (- (sqrt (+ (* (* -3 a) 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 -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b)) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c)) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c)) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (* (/ c a) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) c)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c)) a)) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (+ (* (/ 1 (/ (fabs b) c)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))) |
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c) #s(literal -1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (- (sqrt (+ (* (* -3 a) 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 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 a #s(literal 3 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
Compiled 5 347 to 1 952 computations (63.5% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 11 | 357 |
| Fresh | 8 | 17 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 357 | 34 | 391 |
| Status | Accuracy | Program |
|---|---|---|
| 55.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 3 binary64)) a) | |
| 31.9% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) | |
| 55.3% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 55.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
| 34.5% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) | |
| 16.9% | (/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) | |
| ✓ | 12.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
| 20.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) | |
| 34.5% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| ▶ | 16.4% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 34.5% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 12.1% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 20.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 31.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 31.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 17.2% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) | |
| ▶ | 58.3% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| ▶ | 34.8% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
| 31.8% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) | |
| 34.1% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) | |
| 34.7% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) | |
| 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) | |
| ✓ | 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
| 20.1% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) | |
| 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| 33.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| ✓ | 66.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| 23.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (pow.f64 (/.f64 c (fabs.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))))) | |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| ▶ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) | |
| 35.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
Compiled 1 314 to 1 257 computations (4.3% saved)
| Inputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) |
(*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) |
(*.f64 c a) |
c |
a |
(*.f64 (fabs.f64 b) (*.f64 b b)) |
(fabs.f64 b) |
b |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (fabs.f64 b) b) |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(literal -2/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
#s(literal 1 binary64) |
(/.f64 a b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
| Outputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* 1/3 (- (fabs b) b)) (* a (+ (* -1/2 (/ c (fabs b))) (* -3/8 (/ (* a (pow c 2)) (* (pow b 2) (fabs b))))))) a))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (/ -1/2 (fabs b)))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (- (* -3/8 (/ (* a c) (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (fabs b)))))) |
#s(approx (* (/ (* c a) (* (fabs b) (* b b))) -3/8) #s(hole binary64 (* -3/8 (/ (* a c) (* (pow b 2) (fabs b)))))) |
#s(approx (/ (* c a) (* (fabs b) (* b b))) #s(hole binary64 (/ (* a c) (* (pow b 2) (fabs b))))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a))) |
#s(approx (* -2/3 (/ 1 (/ a b))) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ 1 (/ a b)) #s(hole binary64 (/ b a))) |
#s(approx (/ a b) #s(hole binary64 (/ a b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (* (* -3 a) c)) #s(hole binary64 (sqrt (* -3 (* a c))))) |
#s(approx (* (* -3 a) c) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (* (pow b 2) (fabs b)))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a (fabs b)))) (* -3/8 (/ (pow c 2) (* (pow b 2) (fabs b)))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a (fabs b)))) (+ (* -3/8 (/ (pow c 2) (* (pow b 2) (fabs b)))) (* 1/3 (/ (- (fabs b) b) (pow a 2)))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* a (- (* -3/8 (/ c (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* a (fabs b)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (sqrt (* -3 (/ c a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (* (pow b 2) (fabs b)))) (* 1/2 (/ c (* a (fabs b))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))) a)) (* 3/8 (/ (pow c 2) (* (pow b 2) (fabs b))))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ c (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* a (fabs b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -3/8 (/ (* a (pow c 2)) (fabs b))) (* (pow b 2) (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))))) (pow b 2)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -3/8 (/ (* a (pow c 2)) (fabs b))) (* (pow b 2) (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a)))))) (pow b 2)))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow b 2) (fabs b))) (* -3/8 (/ (* a c) (fabs b)))) (pow b 2)))) |
#s(approx (* (fabs b) (* b b)) #s(hole binary64 (* (pow b 2) (fabs b)))) |
#s(approx (fabs b) #s(hole binary64 (fabs b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (/ 1/2 (fabs b)) #s(hole binary64 (/ 1/2 (fabs b)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a)))) |
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b)))) |
#s(approx (/ (* -1/2 c) b) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a)))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (+ (* -3/8 (/ (* a (pow c 2)) (* (pow b 3) (fabs b)))) (* 1/3 (/ (fabs b) (* a b))))) (* 1/3 (/ 1 a)))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a)))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 b))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (+ (* -3/8 (/ (* a (pow c 2)) (* (pow b 2) (fabs b)))) (* 1/3 (/ (fabs b) a)))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a)))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* 1/3 (/ (- (fabs b) b) a)) (* c (- (* -3/8 (/ (* a c) (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (fabs b)))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* c (fabs b)))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* (pow c 2) (- (+ (* -3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/3 (/ (- (fabs b) b) (* a (pow c 2))))) (/ 1/2 (* c (fabs b))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* c (- (* -3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* c (fabs b)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* a (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))) c)) (* -3/8 (/ a (* (pow b 2) (fabs b)))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* c (fabs b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -3 (* a c)))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | 0 | ((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ (* c a) (* (fabs b) (* b b))) (* c a) c a (* (fabs b) (* b b)) (fabs b) b (* b b) -3/8 (/ 1/2 (fabs b)) 1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (* -1/2 c) b) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ 1 (/ a b))) -2/3 (/ 1 (/ a b)) 1 (/ a b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 6.0ms | c | @ | -inf | ((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ (* c a) (* (fabs b) (* b b))) (* c a) c a (* (fabs b) (* b b)) (fabs b) b (* b b) -3/8 (/ 1/2 (fabs b)) 1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (* -1/2 c) b) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ 1 (/ a b))) -2/3 (/ 1 (/ a b)) 1 (/ a b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 6.0ms | b | @ | inf | ((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ (* c a) (* (fabs b) (* b b))) (* c a) c a (* (fabs b) (* b b)) (fabs b) b (* b b) -3/8 (/ 1/2 (fabs b)) 1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (* -1/2 c) b) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ 1 (/ a b))) -2/3 (/ 1 (/ a b)) 1 (/ a b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 5.0ms | a | @ | -inf | ((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ (* c a) (* (fabs b) (* b b))) (* c a) c a (* (fabs b) (* b b)) (fabs b) b (* b b) -3/8 (/ 1/2 (fabs b)) 1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (* -1/2 c) b) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ 1 (/ a b))) -2/3 (/ 1 (/ a b)) 1 (/ a b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
| 5.0ms | b | @ | -inf | ((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ (* c a) (* (fabs b) (* b b))) (* c a) c a (* (fabs b) (* b b)) (fabs b) b (* b b) -3/8 (/ 1/2 (fabs b)) 1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) 1/3 (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/ (* -1/2 c) b) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ 1 (/ a b))) -2/3 (/ 1 (/ a b)) 1 (/ a b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 817 | 5502 |
| 0 | 864 | 5047 |
| 1 | 6123 | 4984 |
| 0 | 8099 | 4751 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) |
(*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) |
(*.f64 c a) |
c |
a |
(*.f64 (fabs.f64 b) (*.f64 b b)) |
(fabs.f64 b) |
b |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(-.f64 (fabs.f64 b) b) |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(literal -2/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
#s(literal 1 binary64) |
(/.f64 a b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* 1/3 (- (fabs b) b)) (* a (+ (* -1/2 (/ c (fabs b))) (* -3/8 (/ (* a (pow c 2)) (* (pow b 2) (fabs b))))))) a))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (/ -1/2 (fabs b)))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (- (* -3/8 (/ (* a c) (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (fabs b)))))) |
#s(approx (* (/ (* c a) (* (fabs b) (* b b))) -3/8) #s(hole binary64 (* -3/8 (/ (* a c) (* (pow b 2) (fabs b)))))) |
#s(approx (/ (* c a) (* (fabs b) (* b b))) #s(hole binary64 (/ (* a c) (* (pow b 2) (fabs b))))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a))) |
#s(approx (* -2/3 (/ 1 (/ a b))) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ 1 (/ a b)) #s(hole binary64 (/ b a))) |
#s(approx (/ a b) #s(hole binary64 (/ a b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (sqrt (* (* -3 a) c)) #s(hole binary64 (sqrt (* -3 (* a c))))) |
#s(approx (* (* -3 a) c) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (* (pow b 2) (fabs b)))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a (fabs b)))) (* -3/8 (/ (pow c 2) (* (pow b 2) (fabs b)))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a (fabs b)))) (+ (* -3/8 (/ (pow c 2) (* (pow b 2) (fabs b)))) (* 1/3 (/ (- (fabs b) b) (pow a 2)))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* a (- (* -3/8 (/ c (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* a (fabs b)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (sqrt (* -3 (/ c a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (* (pow b 2) (fabs b)))) (* 1/2 (/ c (* a (fabs b))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))) a)) (* 3/8 (/ (pow c 2) (* (pow b 2) (fabs b))))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ c (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* a (fabs b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -3/8 (/ (* a (pow c 2)) (fabs b))) (* (pow b 2) (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))))) (pow b 2)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -3/8 (/ (* a (pow c 2)) (fabs b))) (* (pow b 2) (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a)))))) (pow b 2)))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow b 2) (fabs b))) (* -3/8 (/ (* a c) (fabs b)))) (pow b 2)))) |
#s(approx (* (fabs b) (* b b)) #s(hole binary64 (* (pow b 2) (fabs b)))) |
#s(approx (fabs b) #s(hole binary64 (fabs b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (/ 1/2 (fabs b)) #s(hole binary64 (/ 1/2 (fabs b)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a)))) |
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b)))) |
#s(approx (/ (* -1/2 c) b) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a)))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (+ (* -3/8 (/ (* a (pow c 2)) (* (pow b 3) (fabs b)))) (* 1/3 (/ (fabs b) (* a b))))) (* 1/3 (/ 1 a)))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a)))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 b))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (+ (* -3/8 (/ (* a (pow c 2)) (* (pow b 2) (fabs b)))) (* 1/3 (/ (fabs b) a)))) b)) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a)))))) |
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2))))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* 1/3 (/ (- (fabs b) b) a)) (* c (- (* -3/8 (/ (* a c) (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (fabs b)))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* c (fabs b)))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* (pow c 2) (- (+ (* -3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/3 (/ (- (fabs b) b) (* a (pow c 2))))) (/ 1/2 (* c (fabs b))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* c (- (* -3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* c (fabs b)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c))))) |
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* a (* c (sqrt (/ -3 (* a c))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))) c)) (* -3/8 (/ a (* (pow b 2) (fabs b)))))))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) #s(hole binary64 (* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) (fabs b)))) (* 1/2 (/ 1 (* c (fabs b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -3 (* a c)))))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c))))))) |
| Outputs |
|---|
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c))) (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
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(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c)) |
(fma.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c)) |
(fma.f64 c (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c) (*.f64 (neg.f64 (/.f64 (-.f64 (fabs.f64 b) b) a)) #s(literal 1/3 binary64))) |
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(-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (neg.f64 c) (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))))) |
(-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c))) |
(+.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (fabs.f64 b)) #s(literal 1/2 binary64)) (fabs.f64 b)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)))) (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) (*.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)))) |
(fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)))) |
(fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) |
(-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) |
(+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 b)))) |
(+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) |
(*.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b)))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 c (fabs.f64 b))) |
(*.f64 (/.f64 c (fabs.f64 b)) (/.f64 a (*.f64 b b))) |
(*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) |
(*.f64 a (/.f64 c (*.f64 (*.f64 b b) b))) |
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 a (/.f64 c (*.f64 b b))) (fabs.f64 b)) |
(/.f64 (*.f64 a (/.f64 c (fabs.f64 b))) (*.f64 b b)) |
(/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 c a))) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
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(*.f64 (pow.f64 (fabs.f64 b) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fabs.f64 b) b) b) |
(*.f64 (fabs.f64 b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (fabs.f64 b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b (*.f64 b b)) |
(pow.f64 (pow.f64 (fabs.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 3 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) b))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 3 binary64)))) |
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(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) |
(sqrt.f64 (*.f64 b b)) |
(fabs.f64 (fabs.f64 b)) |
(fabs.f64 (neg.f64 b)) |
(fabs.f64 b) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 1/2 binary64))) |
b |
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(*.f64 (pow.f64 b #s(literal 1 binary64)) b) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 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)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 b))) |
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#s(literal 1/2 binary64) |
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a)) |
(/.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (fabs.f64 b) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (fabs.f64 b) b)) (neg.f64 a)) |
(/.f64 (-.f64 (fabs.f64 b) b) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (fabs.f64 b) b))) |
(-.f64 (/.f64 (fabs.f64 b) a) (/.f64 b a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (fabs.f64 b))) (fabs.f64 b)) |
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(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (fabs.f64 b) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fabs.f64 b) b)) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 b b (-.f64 (*.f64 b b) (*.f64 (fabs.f64 b) (neg.f64 b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b)))) |
(neg.f64 (-.f64 b (fabs.f64 b))) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (fabs.f64 b)) |
(fma.f64 b #s(literal -1 binary64) (fabs.f64 b)) |
(-.f64 (fabs.f64 b) (*.f64 #s(literal 1 binary64) b)) |
(-.f64 (fabs.f64 b) (neg.f64 (neg.f64 b))) |
(-.f64 (fabs.f64 b) b) |
(+.f64 (fabs.f64 b) (neg.f64 b)) |
(+.f64 (neg.f64 b) (fabs.f64 b)) |
#s(literal 1/3 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c))) |
(*.f64 #s(literal -1/2 binary64) c) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a) |
(/.f64 #s(literal -2/3 binary64) (/.f64 a b)) |
#s(literal -2/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 #s(literal 1 binary64) (/.f64 b a)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(pow.f64 (/.f64 a b) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 a (/.f64 #s(literal 1 binary64) b)) |
(pow.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 (neg.f64 a) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b a)) |
(/.f64 a b) |
(*.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))))) |
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(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 c a)) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(pow.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
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(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fabs.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a))) |
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(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
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(fabs.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
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(/.f64 (neg.f64 c) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a c)) |
(/.f64 c a) |
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#s(approx (/ (* c a) (* (fabs b) (* b b))) (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b)))) |
#s(approx (* c a) (*.f64 c a)) |
#s(approx a a) |
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#s(approx (* 3 a) (*.f64 #s(literal 3 binary64) a)) |
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#s(approx (/ c a) (/.f64 c a)) |
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#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 b b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (fabs.f64 b))) (*.f64 b b))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (/.f64 (fma.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) (*.f64 b b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (fabs.f64 b))) (*.f64 b b))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (fabs.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (fabs.f64 b))) (*.f64 b b))) |
#s(approx (* (fabs b) (* b b)) (*.f64 (*.f64 b b) b)) |
#s(approx (fabs b) (fabs.f64 b)) |
#s(approx b b) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx (/ 1/2 (fabs b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (fabs.f64 b) a)) |
#s(approx (/ (- (fabs b) b) a) (+.f64 (/.f64 (fabs.f64 b) a) (/.f64 (neg.f64 b) a))) |
#s(approx (- (fabs b) b) (-.f64 (fabs.f64 b) b)) |
#s(approx (/ (* -1/2 c) b) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) #s(literal -3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (pow.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) #s(literal -3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) b #s(literal -1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 b a)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (*.f64 (fabs.f64 b) b)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (fma.f64 (/.f64 c (*.f64 (fabs.f64 b) b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (*.f64 (/.f64 (fabs.f64 b) (*.f64 b a)) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (-.f64 (*.f64 (/.f64 (fabs.f64 b) (*.f64 b a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b)) |
#s(approx (/ (- (fabs b) b) a) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (fabs b) b) a) (*.f64 (-.f64 (/.f64 (fabs.f64 b) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a)) b)) |
#s(approx (- (fabs b) b) (neg.f64 b)) |
#s(approx (- (fabs b) b) (*.f64 (-.f64 (/.f64 (fabs.f64 b) b) #s(literal 1 binary64)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64)))) b)) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fabs.f64 b) (*.f64 b a)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) a)))) |
#s(approx (/ (- (fabs b) b) a) (neg.f64 (fma.f64 (neg.f64 (/.f64 (fabs.f64 b) (*.f64 b a))) b (/.f64 b a)))) |
#s(approx (- (fabs b) b) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) b)) #s(literal 1 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64))) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 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)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx c c) |
#s(approx (* -1/2 c) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 (fma.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -9/8 binary64))) c (fabs.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 (fabs.f64 b) #s(literal -5 binary64))) #s(literal -27/16 binary64))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) (fabs.f64 b)) b)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c)) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (*.f64 c c) (-.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 b) c))))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 (*.f64 c c) a)) #s(literal 1/3 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 b) c))) (*.f64 c c))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 b) c))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c)) |
#s(approx (* (sqrt (* (/ c a) -3)) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c) a)) |
#s(approx (sqrt (* (/ c a) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c)) a)) #s(literal -1/24 binary64))) c))) c))) c))) |
#s(approx (+ (* (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) c) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))) (*.f64 c c))) |
#s(approx (- (* (/ (* c a) (* (fabs b) (* b b))) -3/8) (/ 1/2 (fabs b))) (neg.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 b) c))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 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 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (* (sqrt (* (/ c a) -3)) a) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c) a))) |
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) |
Compiled 4 553 to 1 801 computations (60.4% saved)
33 alts after pruning (24 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 7 | 319 |
| Fresh | 6 | 17 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 320 | 33 | 353 |
| Status | Accuracy | Program |
|---|---|---|
| 31.9% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) | |
| 55.3% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 55.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
| 34.5% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) | |
| 16.9% | (/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) | |
| ✓ | 12.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
| 20.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) | |
| 34.5% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 16.4% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 20.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 31.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 31.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 61.7% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) | |
| 17.2% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) | |
| ✓ | 34.8% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
| 34.1% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) | |
| 31.8% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) | |
| 34.7% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) | |
| 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) | |
| ✓ | 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
| 20.1% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) | |
| 16.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| 33.4% | #s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| ✓ | 66.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| 23.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (pow.f64 (/.f64 c (fabs.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))))) | |
| 34.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) | |
| 35.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
Compiled 1 580 to 981 computations (37.9% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 b) c)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (fma.f64 (*.f64 c (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (pow.f64 (/.f64 c (fabs.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
5 calls:
| 42.0ms | (*.f64 #s(literal 3 binary64) a) |
| 40.0ms | a |
| 20.0ms | c |
| 20.0ms | b |
| 16.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 2 | (*.f64 #s(literal 3 binary64) a) |
| 90.7% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 70.2% | 2 | a |
| 86.0% | 3 | b |
| 71.1% | 2 | c |
Compiled 20 to 26 computations (-30% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
1 calls:
| 29.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
1 calls:
| 17.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
2 calls:
| 17.0ms | b |
| 12.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | b |
| 79.5% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 15 to 15 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 37.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) a) |
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) #s(literal 1/3 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -3 binary64) c) a)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
3 calls:
| 10.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 6.0ms | c |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 4 | c |
| 61.3% | 6 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 72.2% | 3 | b |
Compiled 16 to 18 computations (-12.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (*.f64 c (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -1/2 binary64) c)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
3 calls:
| 24.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | a |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 3 | (*.f64 #s(literal 3 binary64) a) |
| 39.1% | 3 | a |
| 66.9% | 2 | b |
Compiled 5 to 11 computations (-120% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
| Outputs |
|---|
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
5 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 34.4% | 1 | a |
| 34.4% | 1 | c |
| 34.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 34.4% | 1 | b |
Compiled 20 to 26 computations (-30% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.438109410176486e+291 | +inf |
| 0.0ms | 0.0 | 1.163107942838767e-263 |
| 0.0ms | -2.4060144144811173e-268 | 0.0 |
| 0.0ms | -inf | -2.794863815737642e+274 |
Compiled 17 to 18 computations (-5.9% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.438109410176486e+291 | +inf |
| 0.0ms | 0.0 | 1.163107942838767e-263 |
| 0.0ms | -2.4060144144811173e-268 | 0.0 |
| 0.0ms | -inf | -2.794863815737642e+274 |
Compiled 17 to 18 computations (-5.9% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.068623576896579e+271 | 6.301433377850095e+272 |
| 0.0ms | 0.0 | 1.163107942838767e-263 |
| 0.0ms | -2.4060144144811173e-268 | 0.0 |
| 0.0ms | -inf | -2.794863815737642e+274 |
Compiled 17 to 18 computations (-5.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.8880216449773976e-34 | 1.1672153557606756e-32 |
| 17.0ms | -8.959781215249208e-49 | -2.7774155002898613e-50 |
| 14.0ms | 164× | 0 | valid |
| 5.0ms | 30× | 2 | valid |
| 4.0ms | 32× | 0 | invalid |
| 3.0ms | 28× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 552 to 571 computations (-3.4% saved)
ival-mult!: 10.0ms (53.8% of total)ival-sqrt: 3.0ms (16.1% of total)adjust: 2.0ms (10.8% of total)ival-div!: 2.0ms (10.8% of total)ival-sub!: 1.0ms (5.4% of total)ival-add!: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8880216449773976e-34 | 1.1672153557606756e-32 |
| 1.0ms | -8.959781215249208e-49 | -2.7774155002898613e-50 |
Compiled 517 to 536 computations (-3.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8880216449773976e-34 | 1.1672153557606756e-32 |
| 1.0ms | -8.959781215249208e-49 | -2.7774155002898613e-50 |
Compiled 503 to 522 computations (-3.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8880216449773976e-34 | 1.1672153557606756e-32 |
| 17.0ms | -1.832163516995133e-52 | -8.979069268954646e-61 |
| 10.0ms | 144× | 0 | valid |
| 1.0ms | 16× | 0 | invalid |
Compiled 603 to 624 computations (-3.5% saved)
ival-mult!: 2.0ms (35.9% of total)ival-sqrt: 1.0ms (18% of total)ival-neg: 1.0ms (18% of total)ival-div!: 1.0ms (18% 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 |
|---|---|---|
| 1.0ms | 1.8880216449773976e-34 | 1.1672153557606756e-32 |
| 1.0ms | -1.832163516995133e-52 | -8.979069268954646e-61 |
Compiled 603 to 624 computations (-3.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8880216449773976e-34 | 1.1672153557606756e-32 |
| 1.0ms | -1.832163516995133e-52 | -8.979069268954646e-61 |
Compiled 635 to 640 computations (-0.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 3.925999130352004e-133 | 6.715241455181408e-115 |
| 13.0ms | -6.418149065230907e-146 | -3.1898126345839907e-146 |
| 12.0ms | 191× | 0 | valid |
| 6.0ms | 64× | 0 | invalid |
| 4.0ms | 34× | 1 | valid |
| 2.0ms | 15× | 2 | valid |
Compiled 585 to 593 computations (-1.4% saved)
ival-mult!: 5.0ms (37.2% of total)ival-sqrt: 3.0ms (22.3% of total)ival-div!: 2.0ms (14.9% of total)adjust: 1.0ms (7.4% of total)ival-sub!: 1.0ms (7.4% of total)ival-add!: 1.0ms (7.4% of total)ival-neg: 1.0ms (7.4% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -3.2029221211719887e-308 | 3.4455771398521106e-293 |
| 10.0ms | 160× | 0 | valid |
| 6.0ms | 64× | 0 | invalid |
Compiled 370 to 378 computations (-2.2% saved)
ival-mult!: 4.0ms (45.4% of total)ival-sqrt: 2.0ms (22.7% of total)ival-add!: 1.0ms (11.3% of total)ival-neg: 1.0ms (11.3% of total)ival-div!: 1.0ms (11.3% 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 | -3.2029221211719887e-308 | 3.4455771398521106e-293 |
Compiled 370 to 388 computations (-4.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.2029221211719887e-308 | 3.4455771398521106e-293 |
Compiled 370 to 378 computations (-2.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.2029221211719887e-308 | 3.4455771398521106e-293 |
Compiled 360 to 358 computations (0.6% saved)
| 1× | fuel |
Compiled 284 to 149 computations (47.5% saved)
Compiled 298 to 161 computations (46% saved)
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