
Time bar (total: 5.1s)
| 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)
| 408.0ms | 5 497× | 0 | valid |
| 208.0ms | 1 184× | 2 | valid |
| 187.0ms | 1 374× | 1 | valid |
| 69.0ms | 969× | 0 | invalid |
| 46.0ms | 201× | 3 | valid |
ival-mult!: 188.0ms (29.7% of total)ival-sqrt: 135.0ms (21.3% of total)ival-div!: 94.0ms (14.8% of total)adjust: 87.0ms (13.7% of total)ival-neg: 57.0ms (9% of total)ival-add!: 40.0ms (6.3% of total)ival-sub!: 34.0ms (5.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 119 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 59 | 1 | (1.4132376308165036e-267 1.3150296212159922e+70 -457150586010287.44) | 1 | (1.7443684045655737e+263 3.1420401634173296e+54 -1.161550592241675e-156) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 14 | 0 | - | 4 | (2.2451620535010642e-20 9.767853976774109e+108 -2.4015177585181797e-192) | (/.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)) |
| 8 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 109 | 0 |
| ↳ | (*.f64 b b) | overflow | 89 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 37 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 109 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 59 | 1 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 10 | 0 |
| ↳ | (*.f64 b b) | underflow | 46 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 10 | |
/.f64 | (/.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)) | u/n | 10 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 10 | |
| ↳ | (*.f64 b b) | underflow | 46 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 23 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 8 | 0 |
| ↳ | (*.f64 b b) | overflow | 89 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 137 | 1 |
| - | 19 | 99 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 137 | 1 | 0 |
| - | 19 | 0 | 99 |
| number | freq |
|---|---|
| 0 | 100 |
| 1 | 118 |
| 2 | 36 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 348× | 0 | valid |
| 12.0ms | 64× | 2 | valid |
| 12.0ms | 84× | 1 | valid |
| 5.0ms | 16× | 3 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult!: 10.0ms (30.8% of total)ival-sqrt: 7.0ms (21.6% of total)adjust: 5.0ms (15.4% of total)ival-div!: 4.0ms (12.3% of total)ival-sub!: 3.0ms (9.2% of total)ival-add!: 2.0ms (6.2% of total)ival-neg: 2.0ms (6.2% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 175 |
| 1 | 167 | 168 |
| 2 | 475 | 168 |
| 3 | 920 | 168 |
| 4 | 1418 | 168 |
| 5 | 1594 | 168 |
| 6 | 1646 | 168 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 17 |
| 2 | 89 | 17 |
| 3 | 180 | 17 |
| 4 | 301 | 17 |
| 5 | 382 | 17 |
| 6 | 406 | 17 |
| 7 | 431 | 17 |
| 0 | 431 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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)) |
| Outputs |
|---|
(/.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 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.7% | (/.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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | 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) |
| 4.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 3.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c) |
| 3.0ms | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 682 | 4687 |
| 0 | 696 | 4375 |
| 0 | 3906 | 4140 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 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 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
b |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.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 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (* (* 3 a) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
#s(approx (* 3 a) (*.f64 a #s(literal 3 binary64))) |
#s(approx a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 c #s(literal 3 binary64))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) |
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) 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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b)) |
#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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 a #s(literal 3 binary64))) c))) |
Compiled 5 861 to 935 computations (84% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 18 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 149 | 18 | 167 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.8% | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a) |
| 25.5% | (/.f64 (/.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 #s(literal 3 binary64) a)) | |
| 30.1% | (/.f64 (/.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 #s(literal 3 binary64) a)) | |
| 48.8% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 32.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.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)) | |
| 10.8% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 10.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 38.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 25.9% | (/.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)) | |
| 34.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 28.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) | |
| 16.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 17.1% | #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))) |
| ▶ | 36.8% | #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)))) |
| ▶ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 1 014 to 674 computations (33.5% saved)
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
#s(literal -1 binary64) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(literal -1/3 binary64) |
#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 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(neg.f64 b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #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))))) |
(sqrt.f64 #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 (- (* 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))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ 2/3 a))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a))) |
#s(approx (/ 2/3 a) #s(hole binary64 (/ 2/3 a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (+ 1 (* -3 (/ (* a c) (pow b 2)))))) |
#s(approx (* a (/ c (* b b))) #s(hole binary64 (/ (* a c) (pow b 2)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -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 (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1/2 (/ c (pow b 2))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* -3 (/ (* a c) (pow b 2))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* a (+ (* -3 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* -1 (* a (- (* 3 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)))) |
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (/ (+ (* -3 (* a c)) (pow b 2)) (pow b 2)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (/ (+ (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
#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 (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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))) |
#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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 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)))) #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))) |
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* c (+ (* -3 (/ a (pow b 2))) (/ 1 c))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* -1 (* c (- (* 3 (/ a (pow b 2))) (/ 1 c)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | c | @ | 0 | ((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (+ (* (* a (/ c (* b b))) -3) 1) (* a (/ c (* b b))) 1 (* 3 a)) |
| 7.0ms | a | @ | 0 | ((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (+ (* (* a (/ c (* b b))) -3) 1) (* a (/ c (* b b))) 1 (* 3 a)) |
| 6.0ms | a | @ | -inf | ((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (+ (* (* a (/ c (* b b))) -3) 1) (* a (/ c (* b b))) 1 (* 3 a)) |
| 6.0ms | c | @ | -inf | ((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (+ (* (* a (/ c (* b b))) -3) 1) (* a (/ c (* b b))) 1 (* 3 a)) |
| 5.0ms | a | @ | inf | ((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (+ (* (* a (/ c (* b b))) -3) 1) (* a (/ c (* b b))) 1 (* 3 a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1128 | 11767 |
| 0 | 1169 | 10883 |
| 1 | 6236 | 10732 |
| 0 | 8092 | 10407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
#s(literal -1 binary64) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(/.f64 c a) |
#s(literal -1/3 binary64) |
#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 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(neg.f64 b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #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))))) |
(sqrt.f64 #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 (- (* 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))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ c a) #s(hole binary64 (/ c a))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ 2/3 a))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a))) |
#s(approx (/ 2/3 a) #s(hole binary64 (/ 2/3 a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (+ 1 (* -3 (/ (* a c) (pow b 2)))))) |
#s(approx (* a (/ c (* b b))) #s(hole binary64 (/ (* a c) (pow b 2)))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -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 (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1/2 (/ c (pow b 2))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* -3 (/ (* a c) (pow b 2))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* a (+ (* -3 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* -1 (* a (- (* 3 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)))) |
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (/ (+ (* -3 (* a c)) (pow b 2)) (pow b 2)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (/ (+ (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
#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 (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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))) |
#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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 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)))) #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))) |
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* c (+ (* -3 (/ a (pow b 2))) (/ 1 c))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(hole binary64 (* -1 (* c (- (* 3 (/ a (pow b 2))) (/ 1 c)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a) |
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) #s(literal -3 binary64)) |
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) |
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64))) |
(/.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 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 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))))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) |
(fma.f64 #s(literal -1 binary64) b (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)))) |
#s(literal -1 binary64) |
b |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(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))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (pow.f64 b #s(literal 4 binary64))) (-.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) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (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 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c 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 #s(literal 3 binary64) a)) 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 #s(literal 3 binary64) a)) 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 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) 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 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a)) c)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
#s(literal 3 binary64) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(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 c #s(literal -3 binary64)) a) |
(/.f64 (neg.f64 c) (neg.f64 a)) |
(/.f64 c a) |
#s(literal -1/3 binary64) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) b) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) b)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) b)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (neg.f64 b) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (*.f64 (neg.f64 b) (/.f64 #s(literal 2/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b))) |
(+.f64 (*.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))) (*.f64 (neg.f64 b) (/.f64 #s(literal 2/3 binary64) a))) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) b) |
(neg.f64 b) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 #s(literal 2/3 binary64) a))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b) b) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (-.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 #s(literal 2/3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))) |
(fma.f64 #s(literal 2/3 binary64) (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (*.f64 #s(literal -2/3 binary64) (pow.f64 a #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) |
(/.f64 (/.f64 c b) b) |
(/.f64 c (*.f64 b b)) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 #s(literal 2/3 binary64) a) |
(/.f64 #s(literal -2/3 binary64) (neg.f64 a)) |
#s(literal 2/3 binary64) |
(/.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (neg.f64 b)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b b) (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b b))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))))) |
(fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 b b))) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal 0 binary64) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a 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 a #s(literal -3 binary64))) |
#s(approx a a) |
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#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (* -2/3 (/ b a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64))) |
#s(approx (/ c a) (/.f64 c a)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) a)) |
#s(approx (/ 2/3 a) (/.f64 #s(literal 2/3 binary64) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a 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 (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (*.f64 b b)) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64))) |
#s(approx (* a (/ c (* b b))) (/.f64 (*.f64 c a) (*.f64 b b))) |
#s(approx (* 3 a) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (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))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (/.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -3 binary64) (pow.f64 a #s(literal -1 binary64))) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a) #s(literal -1 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a)))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) c) (*.f64 b b)) (pow.f64 a #s(literal -1 binary64))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx b b) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b))) |
#s(approx (/ c (* b b)) (/.f64 (/.f64 c b) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.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 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.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 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 c a) (*.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 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 c a) (*.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 (*.f64 c a) (*.f64 b b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64))) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3 binary64) (pow.f64 c #s(literal -1 binary64))) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c))) c))) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c) #s(literal -1 binary64) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (* (+ (* (* a (/ c (* b b))) -3) 1) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (+ (* (* a (/ c (* b b))) -3) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 c #s(literal -1 binary64))) c))) |
Compiled 15 347 to 2 044 computations (86.7% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 402 | 18 | 420 |
| Fresh | 6 | 7 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 410 | 28 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.9% | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)))) #s(literal 3 binary64)) a) |
| 30.2% | (/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 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))))))) #s(literal 3 binary64)) a) | |
| 25.5% | (/.f64 (/.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 #s(literal 3 binary64) a)) | |
| ▶ | 38.4% | (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
| 25.9% | (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) | |
| ▶ | 48.8% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 32.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.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)) | |
| 10.8% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 10.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) a) | |
| 20.8% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) | |
| 25.2% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) | |
| 25.9% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) | |
| 38.3% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 38.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 25.9% | (/.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)) |
| 34.0% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 28.2% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) | |
| 16.8% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| 16.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) | |
| ✓ | 17.1% | #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))) |
| 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) | |
| 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 16.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) #s(literal -1/3 binary64))) | |
| ✓ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) | |
| ▶ | 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
Compiled 1 587 to 1 109 computations (30.1% saved)
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
#s(literal 1/2 binary64) |
(/.f64 c b) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 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)) |
#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)) |
(*.f64 c a) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)))) #s(literal 3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)))) #s(literal 3 binary64)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a) |
(fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 b b) a) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (* -3 a) #s(hole binary64 (* -3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (pow b 2))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2)))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (/ (pow b 2) a))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (/ (+ (* -3 (* a c)) (pow b 2)) a))) |
#s(approx (/ (* b b) a) #s(hole binary64 (/ (pow b 2) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -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 (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* -3 c))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (+ (* -3 c) (/ (pow b 2) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b))) |
#s(approx (* 1/2 (/ c b)) #s(hole binary64 (* 1/2 (/ c b)))) |
#s(approx (/ c b) #s(hole binary64 (/ c b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* -2 b) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (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 (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* (pow b 2) (+ (* -3 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 b))) |
#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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* c (- (/ (pow b 2) (* a c)) 3)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | 0 | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* -2 b) -2 (/ (+ (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)) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* (+ (* c -3) (/ (* b b) a)) a) (+ (* c -3) (/ (* b b) a)) (/ (* b b) a)) |
| 4.0ms | c | @ | -inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* -2 b) -2 (/ (+ (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)) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* (+ (* c -3) (/ (* b b) a)) a) (+ (* c -3) (/ (* b b) a)) (/ (* b b) a)) |
| 4.0ms | a | @ | -inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* -2 b) -2 (/ (+ (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)) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* (+ (* c -3) (/ (* b b) a)) a) (+ (* c -3) (/ (* b b) a)) (/ (* b b) a)) |
| 4.0ms | c | @ | inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* -2 b) -2 (/ (+ (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)) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* (+ (* c -3) (/ (* b b) a)) a) (+ (* c -3) (/ (* b b) a)) (/ (* b b) a)) |
| 3.0ms | b | @ | inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* -2 b) -2 (/ (+ (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)) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* (+ (* c -3) (/ (* b b) a)) a) (+ (* c -3) (/ (* b b) a)) (/ (* b b) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1106 | 12846 |
| 0 | 1135 | 11867 |
| 1 | 6046 | 11720 |
| 0 | 8160 | 11357 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
#s(literal 1/2 binary64) |
(/.f64 c b) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 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)) |
#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)) |
(*.f64 c a) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)))) #s(literal 3 binary64)) a) |
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#s(literal -1 binary64) |
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(/.f64 (*.f64 b b) a) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))) |
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#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
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#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))) |
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
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#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b))) |
#s(approx (* 1/2 (/ c b)) #s(hole binary64 (* 1/2 (/ c b)))) |
#s(approx (/ c b) #s(hole binary64 (/ c b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* -2 b) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (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 (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* (pow b 2) (+ (* -3 (/ c (pow b 2))) (/ 1 a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 b))) |
#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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* 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 (+ (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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* c (- (/ (pow b 2) (* a c)) 3)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))) |
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))))) |
#s(approx (+ (* c -3) (/ (* b b) a)) #s(hole binary64 (* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c 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 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 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)))) |
b |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 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) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 c b) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #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)) |
(/.f64 (neg.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))) #s(literal -3 binary64)) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (neg.f64 (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
(*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(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 #s(literal -3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c a) |
(*.f64 a c) |
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(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)))) #s(literal 3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))))) #s(literal -3 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)))) #s(literal 3 binary64)) |
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) #s(literal 2 binary64)) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)))) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)))) |
#s(literal -1 binary64) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)) |
(*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 (*.f64 b (/.f64 b a)) a)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (*.f64 b (/.f64 b a)) a)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (*.f64 b (/.f64 b a)) a)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 b (/.f64 b a)) a)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 a (*.f64 b (/.f64 b a)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 (*.f64 b (/.f64 b a)) a)) |
(+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 b (/.f64 b a)))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 b (/.f64 b a)) a)) |
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(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 b a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (/.f64 b a)) #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -3 binary64)) (*.f64 b (/.f64 b a)))))) |
(fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) |
(fma.f64 c #s(literal -3 binary64) (*.f64 b (/.f64 b a))) |
(fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) |
(+.f64 (*.f64 c #s(literal -3 binary64)) (*.f64 b (/.f64 b a))) |
(+.f64 (*.f64 b (/.f64 b a)) (*.f64 c #s(literal -3 binary64))) |
(*.f64 b (/.f64 b a)) |
(/.f64 (neg.f64 (*.f64 b b)) (neg.f64 a)) |
(/.f64 (*.f64 b b) a) |
#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)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#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 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#s(approx (* -3 a) (*.f64 a #s(literal -3 binary64))) |
#s(approx a a) |
#s(approx (* 3 a) (*.f64 #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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal 0 binary64) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (neg.f64 b)) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#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 (* (+ (* c -3) (/ (* b b) a)) a) (*.f64 b b)) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 b (/.f64 b a))) |
#s(approx (+ (* c -3) (/ (* b b) a)) (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) a)) |
#s(approx (/ (* b b) a) (*.f64 b (/.f64 b 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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #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 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 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)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #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 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a)) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))) a)) |
#s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 c #s(literal -3 binary64))) |
#s(approx (+ (* c -3) (/ (* b b) a)) (fma.f64 b (/.f64 b a) (*.f64 c #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 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 b (/.f64 b 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)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) 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) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a) #s(literal -1 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))) |
#s(approx (sqrt (* -3 (* c a))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 b (/.f64 b a)))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 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 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx b b) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)) |
#s(approx (* 1/2 (/ c b)) (*.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 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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)) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 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 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (* -2 b) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 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))) (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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b)) |
#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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) 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 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -3 binary64) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c 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 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#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 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c 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 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c 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 (/.f64 b a) #s(literal -2/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c 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 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (*.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 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#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 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)) |
#s(approx c c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) 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 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c)) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 (-.f64 (/.f64 (*.f64 b (/.f64 b a)) c) #s(literal 3 binary64)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))) |
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c) #s(literal -1 binary64) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (* (+ (* c -3) (/ (* b b) a)) a) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c))) |
#s(approx (+ (* c -3) (/ (* b b) a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b (/.f64 b a)) c) #s(literal -1 binary64) #s(literal 3 binary64)) c))) |
Compiled 15 551 to 1 881 computations (87.9% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 421 | 8 | 429 |
| Fresh | 5 | 15 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 427 | 30 | 457 |
| Status | Accuracy | Program |
|---|---|---|
| 31.8% | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 #s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 c #s(literal -3 binary64))) a)))) #s(literal 3 binary64)) a) | |
| 30.2% | (/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 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))))))) #s(literal 3 binary64)) a) | |
| 25.5% | (/.f64 (/.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 #s(literal 3 binary64) a)) | |
| ✓ | 38.4% | (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
| 25.9% | (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) | |
| 10.8% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (neg.f64 b)) b)) #s(literal 3 binary64)) a) | |
| ✓ | 48.8% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.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 3 binary64) a)) | |
| ✓ | 32.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
| 10.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) a) | |
| ▶ | 20.8% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) |
| 29.5% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) | |
| ▶ | 25.9% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
| 38.3% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| ▶ | 38.3% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
| 15.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a))) (*.f64 #s(literal 3 binary64) a)) | |
| 16.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 25.9% | (/.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)) |
| ▶ | 34.0% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 28.2% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) | |
| 16.8% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 16.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
| ✓ | 17.1% | #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))) |
| 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) | |
| 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| ✓ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) | |
| ✓ | 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
Compiled 1 597 to 1 121 computations (29.8% saved)
| Inputs |
|---|
(/.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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)) |
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(literal -1/3 binary64) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(/.f64 a c) |
(*.f64 (/.f64 b c) #s(literal -1/3 binary64)) |
(/.f64 b c) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (* (sqrt (* (* c a) -3)) 1/3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (* (* c a) -3)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (* (* c a) -3) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -3)))) |
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* a (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (sqrt (* (* c a) -3)) 1/3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (* c a) -3)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* -2 b) #s(hole binary64 (* -2 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ c b) -1/2) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ c b) #s(hole binary64 (/ c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (* (/ b c) -1/3) #s(hole binary64 (* -1/3 (/ b c)))) |
#s(approx (/ b c) #s(hole binary64 (/ b c))) |
#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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (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 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1/3 b))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (* a c)) (/ (sqrt -3) b))) 1/3)))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1/3 (/ b c)))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -3) b))) (* 1/3 (/ 1 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (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 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1 (* b (+ 1/3 (* -1/3 (* (sqrt (* a c)) (/ (sqrt -3) b)))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1 (* b (+ (* -1/3 (* (sqrt (/ a c)) (/ (sqrt -3) b))) (* 1/3 (/ 1 c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (* c -3) #s(hole binary64 (* -3 c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | c | @ | -inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* -2 b) -2 b (* 3 a) 3 a (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (* (/ c b) -1/2) (/ c b) c -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -3 -1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (sqrt (* (* c a) -3)) 1/3) (sqrt (* (* c a) -3)) (* (* c a) -3) (* c a) 1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* (/ b c) -1/3) (/ b c)) |
| 5.0ms | b | @ | 0 | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* -2 b) -2 b (* 3 a) 3 a (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (* (/ c b) -1/2) (/ c b) c -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -3 -1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (sqrt (* (* c a) -3)) 1/3) (sqrt (* (* c a) -3)) (* (* c a) -3) (* c a) 1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* (/ b c) -1/3) (/ b c)) |
| 5.0ms | a | @ | -inf | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* -2 b) -2 b (* 3 a) 3 a (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (* (/ c b) -1/2) (/ c b) c -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -3 -1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (sqrt (* (* c a) -3)) 1/3) (sqrt (* (* c a) -3)) (* (* c a) -3) (* c a) 1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* (/ b c) -1/3) (/ b c)) |
| 4.0ms | a | @ | 0 | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* -2 b) -2 b (* 3 a) 3 a (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (* (/ c b) -1/2) (/ c b) c -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -3 -1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (sqrt (* (* c a) -3)) 1/3) (sqrt (* (* c a) -3)) (* (* c a) -3) (* c a) 1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* (/ b c) -1/3) (/ b c)) |
| 4.0ms | c | @ | 0 | ((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* -2 b) -2 b (* 3 a) 3 a (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (* (/ c b) -1/2) (/ c b) c -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) -1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) -3 -1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (sqrt (* (* c a) -3)) 1/3) (sqrt (* (* c a) -3)) (* (* c a) -3) (* c a) 1/3 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* (/ b c) -1/3) (/ b c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 872 | 8926 |
| 0 | 905 | 8214 |
| 0 | 4698 | 7859 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)) |
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(literal -1/3 binary64) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(/.f64 a c) |
(*.f64 (/.f64 b c) #s(literal -1/3 binary64)) |
(/.f64 b c) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* 3 a) #s(hole binary64 (* 3 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3)))) |
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (* (sqrt (* (* c a) -3)) 1/3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (sqrt (* (* c a) -3)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (* (* c a) -3) #s(hole binary64 (* -3 (* a c)))) |
#s(approx (* c a) #s(hole binary64 (* a c))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -3)))) |
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c)))) |
#s(approx (/ a c) #s(hole binary64 (/ a c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* a (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (sqrt (* (* c a) -3)) 1/3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (* (* c a) -3)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))))) |
#s(approx (* -2 b) #s(hole binary64 (* -2 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (* (/ c b) -1/2) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ c b) #s(hole binary64 (/ c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))) |
#s(approx (* (/ b c) -1/3) #s(hole binary64 (* -1/3 (/ b c)))) |
#s(approx (/ b c) #s(hole binary64 (/ b c))) |
#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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (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 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1/3 b))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (* a c)) (/ (sqrt -3) b))) 1/3)))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1/3 (/ b c)))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -3) b))) (* 1/3 (/ 1 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a)))) |
#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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a)))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (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 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1 (* b (+ 1/3 (* -1/3 (* (sqrt (* a c)) (/ (sqrt -3) b)))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* -1 (* b (+ (* -1/3 (* (sqrt (/ a c)) (/ (sqrt -3) b))) (* 1/3 (/ 1 c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))) |
#s(approx c #s(hole binary64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))))) |
#s(approx (* c -3) #s(hole binary64 (* -3 c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) #s(hole binary64 (* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))) (neg.f64 (*.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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
#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 (neg.f64 c) (neg.f64 b)) |
(/.f64 c b) |
c |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(pow.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) |
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(*.f64 (/.f64 c a) #s(literal -3 binary64)) |
(*.f64 c (/.f64 #s(literal -3 binary64) a)) |
(*.f64 #s(literal -3 binary64) (/.f64 c a)) |
(/.f64 (neg.f64 (*.f64 c #s(literal -3 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
#s(literal -1/3 binary64) |
(/.f64 (neg.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64)))) (neg.f64 a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64))) a) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(pow.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c a) |
(*.f64 a c) |
#s(literal 1/3 binary64) |
(/.f64 (neg.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c))) (neg.f64 a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c) |
(*.f64 c (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) c (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) c)) |
(fma.f64 c (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) (*.f64 c (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) c) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) c)) |
(+.f64 (*.f64 c (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) (*.f64 c (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) (-.f64 (*.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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) (*.f64 (*.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)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 b c) #s(literal -1/3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
(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))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 b c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (neg.f64 b) c) #s(literal -1/3 binary64))) |
(-.f64 (*.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))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
(+.f64 (*.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))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
(*.f64 (/.f64 a c) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 a c)) |
(/.f64 (*.f64 a #s(literal -3 binary64)) c) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(/.f64 a c) |
(*.f64 (/.f64 b c) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 b c)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) b) c) |
(/.f64 (neg.f64 b) (neg.f64 c)) |
(/.f64 b c) |
#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)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#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 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (* 3 a) (*.f64 #s(literal 3 binary64) a)) |
#s(approx a a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (sqrt (/ (* c -3) a)) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) |
#s(approx (/ (* c -3) a) (/.f64 (*.f64 c #s(literal -3 binary64)) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (* (sqrt (* (* c a) -3)) 1/3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (sqrt (* (* c a) -3)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
#s(approx (* (* c a) -3) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
#s(approx (* c a) (*.f64 c a)) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64)))) |
#s(approx (sqrt (* (/ a c) -3)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
#s(approx (* (/ a c) -3) (*.f64 (/.f64 a c) #s(literal -3 binary64))) |
#s(approx (/ a c) (/.f64 a c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) (/.f64 b a)) a)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) (/.f64 b a))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) 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) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) a)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))))) a)) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) a)) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) a))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a)))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (sqrt (/ (* c -3) a)) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))) a))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a))) |
#s(approx (* (sqrt (* (* c a) -3)) 1/3) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal -1/3 binary64))) |
#s(approx (sqrt (* (* c a) -3)) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal -1/3 binary64))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) a))) |
#s(approx (sqrt (* (/ a c) -3)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
#s(approx (* -2 b) (*.f64 #s(literal -2 binary64) b)) |
#s(approx b b) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (/.f64 (*.f64 c #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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64)))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (fma.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
#s(approx (* (/ b c) -1/3) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
#s(approx (/ b c) (/.f64 b c)) |
#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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #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)))) (* 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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b)) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b)) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) b)) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) c)) 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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (*.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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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 #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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) #s(literal 2/3 binary64)))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal -1/3 binary64) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) b) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) c)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) 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 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))) |
#s(approx c c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (* c -3) (*.f64 c #s(literal -3 binary64))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #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)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -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 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c))) c))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c))) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c))) c))) c))) |
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (sqrt (/ (* c -3) a)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c))) |
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (neg.f64 (*.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 (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64)))) |
#s(approx (sqrt (* (/ a c) -3)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) |
Compiled 11 244 to 1 233 computations (89% saved)
35 alts after pruning (24 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 8 | 290 |
| Fresh | 2 | 16 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 285 | 35 | 320 |
| Status | Accuracy | Program |
|---|---|---|
| 31.8% | (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 #s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 c #s(literal -3 binary64))) a)))) #s(literal 3 binary64)) a) | |
| 30.2% | (/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 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))))))) #s(literal 3 binary64)) a) | |
| 25.5% | (/.f64 (/.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 #s(literal 3 binary64) a)) | |
| ✓ | 38.4% | (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
| 25.9% | (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) | |
| 10.8% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (neg.f64 b)) b)) #s(literal 3 binary64)) a) | |
| ✓ | 48.8% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
| 31.8% | (/.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 3 binary64) a)) | |
| ✓ | 32.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
| 10.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.4% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) a) | |
| 29.5% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) | |
| ✓ | 25.9% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
| 20.0% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) c)) b)) c)) a) | |
| 13.9% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)) a) | |
| 38.3% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 28.8% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) b))) a) | |
| 15.8% | (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) | |
| 19.6% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 38.3% | (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
| 25.9% | (/.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)) | |
| 16.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 25.9% | (/.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)) |
| 34.0% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) | |
| ✓ | 34.0% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 28.2% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) | |
| 16.8% | #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) | |
| ✓ | 16.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
| ✓ | 17.1% | #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))) |
| 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) | |
| 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| ✓ | 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 38.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) | |
| ✓ | 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
Compiled 2 701 to 1 091 computations (59.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #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(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.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)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 #s(approx (+ (* c -3) (/ (* b b) a)) (*.f64 c #s(literal -3 binary64))) a)))) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (neg.f64 b)) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) b))) a) |
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a)))) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #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))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) c)) b)) c)) a) |
(/.f64 (/.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 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) #s(literal -1/3 binary64))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 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))))))) #s(literal 3 binary64)) a) |
(/.f64 (/.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 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) 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)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
5 calls:
| 21.0ms | (/.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)) |
| 13.0ms | c |
| 13.0ms | a |
| 13.0ms | (*.f64 #s(literal 3 binary64) a) |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 3 | (*.f64 #s(literal 3 binary64) a) |
| 74.1% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 53.8% | 3 | a |
| 84.0% | 3 | b |
| 54.0% | 3 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #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(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.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)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(approx (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 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)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #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(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.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)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 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)) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) 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))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.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)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) 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:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(approx (* (+ (* (sqrt (* (/ a c) -3)) 1/3) (* (/ b c) -1/3)) c) (*.f64 #s(literal -1/3 binary64) b))) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
5 calls:
| 61.0ms | b |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 38.2% | 1 | a |
| 38.2% | 1 | c |
| 38.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 45.6% | 2 | b |
Compiled 23 to 26 computations (-13% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
5 calls:
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.3% | 1 | c |
| 10.3% | 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)) |
| 10.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 10.3% | 1 | a |
| 10.3% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4.190691492336527e-141 | 2.1903491876663702e-134 |
| 15.0ms | -1.8584259014793948e+49 | -2.4936766355153426e+45 |
| 14.0ms | 238× | 0 | valid |
| 4.0ms | 64× | 0 | invalid |
| 3.0ms | 24× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 684 to 588 computations (14% saved)
ival-mult!: 5.0ms (34.4% of total)ival-sqrt: 3.0ms (20.6% of total)ival-sub!: 2.0ms (13.7% of total)ival-neg: 2.0ms (13.7% of total)ival-div!: 2.0ms (13.7% of total)adjust: 1.0ms (6.9% of total)ival-add!: 1.0ms (6.9% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.190691492336527e-141 | 2.1903491876663702e-134 |
| 19.0ms | -1.9910684726152312e-33 | -1.6032652014740518e-46 |
| 10.0ms | 160× | 0 | valid |
| 2.0ms | 30× | 0 | invalid |
Compiled 1 103 to 839 computations (23.9% saved)
ival-mult!: 3.0ms (44.4% of total)ival-sqrt: 1.0ms (14.8% of total)ival-neg: 1.0ms (14.8% of total)ival-div!: 1.0ms (14.8% 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 |
|---|---|---|
| 21.0ms | 5.343657021848745e-133 | 1.776353879748093e-126 |
| 32.0ms | -7.078948513310643e-171 | -1.381459357878834e-174 |
| 14.0ms | 230× | 0 | valid |
| 6.0ms | 97× | 0 | invalid |
| 3.0ms | 29× | 1 | valid |
| 2.0ms | 13× | 2 | valid |
Compiled 988 to 762 computations (22.9% saved)
ival-mult!: 6.0ms (38.1% of total)ival-sqrt: 3.0ms (19.1% of total)ival-div!: 2.0ms (12.7% of total)ival-neg: 2.0ms (12.7% of total)adjust: 1.0ms (6.4% of total)ival-sub!: 1.0ms (6.4% of total)ival-add!: 1.0ms (6.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.343657021848745e-133 | 1.776353879748093e-126 |
| 1.0ms | -7.078948513310643e-171 | -1.381459357878834e-174 |
Compiled 988 to 762 computations (22.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.190691492336527e-141 | 2.1903491876663702e-134 |
| 26.0ms | -2.2023059388836172e-187 | -1.149849878900486e-217 |
| 14.0ms | 235× | 0 | valid |
| 7.0ms | 111× | 0 | invalid |
| 2.0ms | 18× | 1 | valid |
| 0.0ms | 3× | 2 | valid |
Compiled 1 229 to 946 computations (23% saved)
ival-mult!: 5.0ms (35.8% of total)ival-sqrt: 3.0ms (21.5% of total)ival-div!: 2.0ms (14.3% of total)ival-neg: 2.0ms (14.3% of total)ival-sub!: 1.0ms (7.2% of total)ival-add!: 1.0ms (7.2% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.190691492336527e-141 | 2.1903491876663702e-134 |
| 1.0ms | -2.2023059388836172e-187 | -1.149849878900486e-217 |
Compiled 998 to 847 computations (15.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.190691492336527e-141 | 2.1903491876663702e-134 |
| 1.0ms | -2.2023059388836172e-187 | -1.149849878900486e-217 |
Compiled 998 to 807 computations (19.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 8.676658374075075e-199 | 2.3189877671938135e-194 |
| 9.0ms | -7.078948513310643e-171 | -1.381459357878834e-174 |
| 11.0ms | 177× | 0 | valid |
| 6.0ms | 94× | 0 | invalid |
| 2.0ms | 14× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 804 to 650 computations (19.2% saved)
ival-mult!: 4.0ms (36.6% of total)ival-sqrt: 2.0ms (18.3% of total)ival-sub!: 1.0ms (9.1% of total)ival-add!: 1.0ms (9.1% of total)ival-div!: 1.0ms (9.1% of total)ival-neg: 1.0ms (9.1% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 9.254106994575175e-296 | 1.3693551591845278e-294 |
| 6.0ms | 96× | 0 | valid |
| 4.0ms | 56× | 0 | invalid |
Compiled 290 to 234 computations (19.3% saved)
ival-mult!: 2.0ms (36.7% of total)ival-sqrt: 1.0ms (18.4% of total)ival-neg: 1.0ms (18.4% of total)ival-div!: 1.0ms (18.4% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.254106994575175e-296 | 1.3693551591845278e-294 |
Compiled 284 to 228 computations (19.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.254106994575175e-296 | 1.3693551591845278e-294 |
Compiled 290 to 234 computations (19.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.254106994575175e-296 | 1.3693551591845278e-294 |
Compiled 296 to 222 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 0.38573964031851027 | 46026.93105188812 |
| 7.0ms | 44× | 2 | valid |
| 5.0ms | 32× | 0 | invalid |
| 4.0ms | 35× | 1 | valid |
| 3.0ms | 57× | 0 | valid |
| 2.0ms | 8× | 3 | valid |
Compiled 569 to 396 computations (30.4% saved)
adjust: 3.0ms (23.6% of total)ival-mult!: 3.0ms (23.6% of total)ival-sqrt: 3.0ms (23.6% of total)ival-div!: 2.0ms (15.8% of total)ival-sub!: 1.0ms (7.9% of total)ival-add!: 1.0ms (7.9% of total)ival-neg: 1.0ms (7.9% of total)Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 991 |
| 1 | 192 | 991 |
| 2 | 395 | 958 |
| 3 | 1168 | 958 |
| 4 | 4229 | 946 |
| 5 | 6936 | 946 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -17999999999999999815669513836091372033944796004352 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -4190417494555165/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 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)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -7614394265021173/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 1333754873792233/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -7614394265021173/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 1333754873792233/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 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)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -1087770609288739/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3029838279291863/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) 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)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) #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)))) |
(if (<=.f64 b #s(literal 160 binary64)) #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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -17999999999999999815669513836091372033944796004352 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -17999999999999999815669513836091372033944796004352 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -4190417494555165/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 8797237258720881/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 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)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -7614394265021173/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 1333754873792233/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -7614394265021173/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 1333754873792233/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 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)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))) #s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -2449441655328671/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 716054195477281/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal -1087770609288739/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3029838279291863/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) 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)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 517735622840347/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) #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)))) |
(if (<=.f64 b #s(literal 160 binary64)) #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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
| 1× | fuel |
Compiled 1 007 to 138 computations (86.3% saved)
Compiled 2 048 to 300 computations (85.4% saved)
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