
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 596.0ms | 5 566× | 0 | valid |
| 360.0ms | 1 200× | 2 | valid |
| 358.0ms | 1 318× | 1 | valid |
| 102.0ms | 941× | 0 | invalid |
| 55.0ms | 172× | 3 | valid |
ival-mult: 339.0ms (32.1% of total)ival-sub: 162.0ms (15.3% of total)ival-sqrt: 140.0ms (13.2% of total)ival-div: 139.0ms (13.1% of total)adjust: 131.0ms (12.4% of total)ival-add: 76.0ms (7.2% of total)ival-neg: 57.0ms (5.4% of total)exact: 11.0ms (1% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 54 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 30 | 0 | - | 3 | (-5.486580698466481e-186 1.2598495154045887e-64 7.929380946036134e-195) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 1 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 117 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 117 | |
| ↳ | (*.f64 #s(literal 4 binary64) a) | overflow | 2 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 31 | |
| ↳ | (*.f64 b b) | overflow | 98 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 54 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 25 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 40 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 42 | |
| ↳ | (*.f64 b b) | underflow | 28 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 6 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 42 | |
| ↳ | (*.f64 b b) | underflow | 28 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 98 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 31 | |
| ↳ | (*.f64 #s(literal 4 binary64) a) | overflow | 2 | |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | n/o | 2 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) a) | overflow | 2 | |
*.f64 | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 137 | 0 |
| - | 23 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 137 | 0 | 0 |
| - | 23 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 113 |
| 2 | 45 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 326× | 0 | valid |
| 25.0ms | 86× | 2 | valid |
| 15.0ms | 80× | 1 | valid |
| 7.0ms | 20× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 15.0ms (26.8% of total)ival-div: 14.0ms (25% of total)adjust: 8.0ms (14.3% of total)ival-sqrt: 7.0ms (12.5% of total)ival-sub: 4.0ms (7.1% of total)ival-add: 4.0ms (7.1% of total)ival-neg: 3.0ms (5.4% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 175 |
| 1 | 183 | 168 |
| 2 | 524 | 168 |
| 3 | 1076 | 167 |
| 4 | 2241 | 160 |
| 5 | 6079 | 160 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 43 | 17 |
| 2 | 103 | 17 |
| 3 | 218 | 17 |
| 4 | 415 | 17 |
| 5 | 1173 | 16 |
| 6 | 5228 | 16 |
| 0 | 8140 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 43 | 70 |
| 2 | 103 | 70 |
| 3 | 218 | 70 |
| 4 | 415 | 70 |
| 5 | 1173 | 68 |
| 6 | 5228 | 68 |
| 0 | 8140 | 64 |
| 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 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8007812500000001 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 6.528937060709601 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.083414396532499 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 28.67427366253918 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 23.0ms | 163× | 0 | valid |
| 22.0ms | 40× | 1 | valid |
| 13.0ms | 43× | 2 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-add: 17.0ms (42.2% of total)ival-mult: 7.0ms (17.4% of total)ival-sqrt: 6.0ms (14.9% of total)adjust: 4.0ms (9.9% of total)ival-div: 3.0ms (7.4% of total)ival-sub: 2.0ms (5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 663 | 4489 |
| 0 | 674 | 4216 |
| 0 | 3800 | 3987 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 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 -4 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 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 4 binary64))) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 4 binary64))) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 1/4 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 -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) b) a))) a))) |
#s(approx (- (* b b) (* (* 4 a) c)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 c #s(literal 4 binary64))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))) a))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))) a))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.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 -4 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 -4 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 4 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 -4 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 -4 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 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 -4 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 -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (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 -4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 4 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (- (* b b) (* (* 4 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 -4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c)) |
#s(approx (sqrt (- (* b b) (* (* 4 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 -4 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 -4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) b) c))))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))) |
Compiled 5 173 to 833 computations (83.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 11 | 134 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 124 | 11 | 135 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.4% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| 29.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 20.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
| 38.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) | |
| 27.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) | |
| 36.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) | |
| 15.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) | |
| ▶ | 17.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
Compiled 576 to 440 computations (23.6% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) (*.f64 c a)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) | |
| cost-diff | 1 | (*.f64 (/.f64 c a) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 313 |
| 0 | 70 | 313 |
| 1 | 124 | 303 |
| 2 | 240 | 299 |
| 3 | 430 | 291 |
| 4 | 971 | 285 |
| 5 | 3107 | 285 |
| 6 | 7167 | 285 |
| 0 | 8032 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) |
(*.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 c a) |
c |
a |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(/.f64 b c) |
b |
c |
#s(literal -1 binary64) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(/.f64 a c) |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
a |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) |
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(*.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 c) a) |
(/.f64 c a) |
c |
a |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c (neg.f64 b)) |
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(literal -1 binary64) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(/.f64 a c) |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.209595141968475 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.9589401600734195 | (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) | |
| accuracy | 8.22806696598864 | (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) | |
| accuracy | 30.125126405406785 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -4 binary64) (*.f64 c a)) | |
| accuracy | 3.209595141968475 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 11.457761425830645 | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) | |
| accuracy | 22.783431489063872 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) | |
| accuracy | 0.0 | (*.f64 (/.f64 c a) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) | |
| accuracy | 8.167368449698381 | (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) | |
| accuracy | 31.810311558590826 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 28.47257317383347 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.23425854851680633 | (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) | |
| accuracy | 3.209595141968475 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.957437010487174 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 16.807171731282377 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
| 38.0ms | 123× | 0 | valid |
| 28.0ms | 89× | 0 | invalid |
| 15.0ms | 18× | 2 | valid |
| 10.0ms | 21× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 266 to 39 computations (85.3% saved)
ival-mult: 33.0ms (48.6% of total)ival-div: 11.0ms (16.2% of total)ival-sqrt: 9.0ms (13.3% of total)ival-add: 6.0ms (8.8% of total)adjust: 5.0ms (7.4% of total)ival-sub: 2.0ms (2.9% of total)ival-neg: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(*.f64 (/.f64 c a) #s(literal -1 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
| Outputs |
|---|
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (* -4 (* c a)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 b))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | a | @ | 0 | ((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4))) |
| 7.0ms | c | @ | -inf | ((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4))) |
| 4.0ms | a | @ | inf | ((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4))) |
| 3.0ms | c | @ | 0 | ((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4))) |
| 3.0ms | c | @ | inf | ((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 822 | 8186 |
| 0 | 856 | 7631 |
| 0 | 4266 | 7427 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(*.f64 (/.f64 c a) #s(literal -1 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (* -4 (* c a)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 b))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a))) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(*.f64 (/.f64 c a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 c a)) |
(/.f64 (neg.f64 c) a) |
(neg.f64 (/.f64 c a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
(*.f64 c (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
(fma.f64 (/.f64 (neg.f64 b) c) c (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) |
(fma.f64 c (/.f64 (neg.f64 b) c) (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
(+.f64 (*.f64 (/.f64 (neg.f64 b) c) c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) |
(+.f64 (*.f64 c (/.f64 (neg.f64 b) c)) (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) c) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c) (-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (*.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))) |
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) |
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(-.f64 (/.f64 (neg.f64 b) c) (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) |
(+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) b) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 b b)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (neg b) a) (/.f64 (neg.f64 b) a)) |
#s(approx (* (/ c a) -1) (/.f64 (neg.f64 c) a)) |
#s(approx (neg (sqrt (* (/ c a) -1))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)) |
#s(approx (sqrt (* -4 (* c a))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (* -4 (* c a)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (sqrt (* (/ a c) -4)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 1/4 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 -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) a)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 1/4 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 -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) (*.f64 c a))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a)) b) a))) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))))) a))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a)) b) a))) a))) |
#s(approx (sqrt (* -4 (* c a))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) |
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.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 -4 binary64)) #s(literal -1 binary64)) (*.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 -4 binary64) #s(literal 3/2 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.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 -4 binary64) #s(literal 3/2 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.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 -4 binary64) #s(literal 5/2 binary64))) (*.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 -4 binary64)) #s(literal -3 binary64)))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.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 -4 binary64)) #s(literal -1 binary64)) (*.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 -4 binary64) #s(literal 3/2 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 b)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) b) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (neg.f64 b) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (pow.f64 c #s(literal -1 binary64))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 -2 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) b) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (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 -4 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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (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 -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (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 -4 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 -4 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (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 -4 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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) b) c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (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)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (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)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) b) c))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 b c)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) |
Compiled 10 648 to 1 215 computations (88.6% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 9 | 279 |
| Fresh | 6 | 0 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 278 | 12 | 290 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 48.4% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 29.8% | (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| 12.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 26.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 38.0% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 35.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) | |
| 27.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) | |
| ▶ | 36.3% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
| 17.0% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ▶ | 15.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
Compiled 640 to 477 computations (25.5% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 2 | (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) | |
| cost-diff | 1 | (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) | |
| cost-diff | 5 | (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) a) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (neg.f64 c) a)) | |
| cost-diff | 0 | #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 500 |
| 0 | 97 | 500 |
| 1 | 177 | 476 |
| 2 | 394 | 467 |
| 3 | 1070 | 452 |
| 4 | 3809 | 441 |
| 5 | 7360 | 441 |
| 0 | 8236 | 431 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(/.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
a |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) |
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(neg.f64 b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) |
(neg.f64 b) |
b |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -1 binary64) |
(pow.f64 a #s(literal -1 binary64)) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 c a) #s(literal -1 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(/.f64 (/.f64 b a) c) |
(/.f64 b a) |
b |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(/.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
a |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b) |
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
c |
(neg.f64 b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(neg.f64 b) |
b |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) |
(-.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 c (*.f64 b b))) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -1 binary64) |
(pow.f64 a #s(literal -1 binary64)) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) c) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (*.f64 #s(literal 2 binary64) a) (/.f64 b c)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) #s(literal 2 binary64) (/.f64 b (*.f64 c a))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 c a)) |
(pow.f64 (*.f64 c a) #s(literal -1 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(/.f64 (/.f64 b a) c) |
(/.f64 b (*.f64 c a)) |
(/.f64 b a) |
b |
(*.f64 #s(literal 2 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.190686605205327 | (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a) | |
| accuracy | 9.024540362118492 | #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) | |
| accuracy | 11.36954844964728 | (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 30.125126405406785 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) | |
| accuracy | 4.070445655645676 | (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) | |
| accuracy | 4.4971753080200125 | (/.f64 c (*.f64 b b)) | |
| accuracy | 28.326880656609337 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) | |
| accuracy | 3.209595141968475 | (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.957437010487174 | (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) | |
| accuracy | 16.807171731282377 | (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) | |
| accuracy | 20.712774669023588 | #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 8.167368449698381 | (sqrt.f64 (/.f64 (neg.f64 c) a)) | |
| accuracy | 31.810311558590826 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) | |
| accuracy | 40.989954994236314 | #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 29.935189890537885 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 613.0ms | 89× | 0 | invalid |
| 66.0ms | 123× | 0 | valid |
| 23.0ms | 18× | 2 | valid |
| 16.0ms | 21× | 1 | valid |
| 6.0ms | 5× | 3 | valid |
Compiled 338 to 56 computations (83.4% saved)
ival-mult: 126.0ms (63.9% of total)ival-div: 21.0ms (10.7% of total)ival-pow: 16.0ms (8.1% of total)ival-sqrt: 10.0ms (5.1% of total)adjust: 8.0ms (4.1% of total)ival-add: 8.0ms (4.1% of total)ival-neg: 6.0ms (3% of total)ival-sub: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(/.f64 (neg.f64 c) a) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
(neg.f64 b) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) |
(/.f64 c (*.f64 b b)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ 1 a))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (/ c (pow b 2))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* a (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b (* a c)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) (pow b 2)))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ b c))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* b (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* b (- (* -2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | inf | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (/ (neg c) a)) (/ (neg c) a) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* (/ c (* b b)) -1) (pow a -1)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg b) (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (* (pow (* c a) -1) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ c (* b b)) (sqrt (* (pow (* c a) -1) -1)) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4)))) |
| 6.0ms | a | @ | -inf | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (/ (neg c) a)) (/ (neg c) a) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* (/ c (* b b)) -1) (pow a -1)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg b) (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (* (pow (* c a) -1) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ c (* b b)) (sqrt (* (pow (* c a) -1) -1)) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4)))) |
| 5.0ms | c | @ | 0 | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (/ (neg c) a)) (/ (neg c) a) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* (/ c (* b b)) -1) (pow a -1)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg b) (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (* (pow (* c a) -1) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ c (* b b)) (sqrt (* (pow (* c a) -1) -1)) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4)))) |
| 5.0ms | a | @ | 0 | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (/ (neg c) a)) (/ (neg c) a) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* (/ c (* b b)) -1) (pow a -1)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg b) (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (* (pow (* c a) -1) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ c (* b b)) (sqrt (* (pow (* c a) -1) -1)) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4)))) |
| 5.0ms | c | @ | inf | ((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (/ (neg c) a)) (/ (neg c) a) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* (/ c (* b b)) -1) (pow a -1)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg b) (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (* (pow (* c a) -1) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ c (* b b)) (sqrt (* (pow (* c a) -1) -1)) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 878 | 8717 |
| 0 | 917 | 8146 |
| 0 | 4584 | 7834 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(/.f64 (neg.f64 c) a) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
(neg.f64 b) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) |
(/.f64 c (*.f64 b b)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a)))) |
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#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ 1 a))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a))) |
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#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (/ c (pow b 2))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* a (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b (* a c)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) (pow b 2)))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))))) |
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ b c))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* b (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* b (- (* -2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1)))) |
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 c b) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 c b)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 (/.f64 c b)) |
(*.f64 #s(literal -1 binary64) c) |
(*.f64 c #s(literal -1 binary64)) |
(neg.f64 c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) |
(sqrt.f64 (/.f64 (neg.f64 c) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 c a)) |
(*.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a)) |
(/.f64 (neg.f64 c) a) |
(neg.f64 (/.f64 c a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 b b)) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b))))) |
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(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
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#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) |
#s(approx (sqrt (+ (* (* -4 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 -4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a)) |
#s(approx (sqrt (+ (* (* -4 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 -4 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 -4 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 -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) a)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (/.f64 (neg.f64 c) (*.f64 b b))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64)))) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b) a))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 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 -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64)))) a))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))))) a))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 b) (*.f64 c a))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b) a))) a))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) (neg.f64 a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (neg c) b) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (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 -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 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 -4 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 -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b)) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (/.f64 (fma.f64 #s(literal -1 binary64) c (/.f64 (*.f64 b b) a)) (*.f64 b b))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (/ c (* b b)) (/.f64 (/.f64 c b) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b)) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b)) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (/.f64 b c)) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) b) #s(literal 2 binary64) (pow.f64 c #s(literal -1 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (neg.f64 b) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (pow.f64 c #s(literal -1 binary64))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) b) #s(literal -2 binary64)) (pow.f64 c #s(literal -1 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (neg c) (neg.f64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)) |
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (sqrt (+ (* (* -4 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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (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 -4 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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (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 -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c)) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (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 -4 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 -4 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c)) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (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 -4 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 -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))) |
#s(approx (sqrt (/ (neg c) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c))))) |
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 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 -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (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)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (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)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))) |
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64))))) |
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (*.f64 (neg.f64 c) (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 c a) #s(literal -1 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
Compiled 11 954 to 1 281 computations (89.3% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 5 | 283 |
| Fresh | 0 | 4 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 280 | 15 | 295 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 48.4% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 29.8% | (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 12.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
| 26.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 38.0% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 35.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) | |
| ▶ | 27.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
| 17.0% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) | |
| ▶ | 37.3% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
| ▶ | 37.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
| ▶ | 12.6% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 14.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) | |
| ✓ | 15.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
Compiled 816 to 580 computations (28.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) | |
| cost-diff | 2 | (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 2 | (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (fma.f64 a (/.f64 c b) (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) | |
| cost-diff | 2 | (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) | |
| cost-diff | 1 | (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 473 |
| 0 | 85 | 470 |
| 1 | 165 | 450 |
| 2 | 413 | 428 |
| 3 | 1224 | 398 |
| 4 | 4090 | 394 |
| 5 | 7806 | 394 |
| 0 | 8013 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(/.f64 b a) |
b |
a |
#s(literal -1 binary64) |
(/.f64 c b) |
c |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
a |
(/.f64 c b) |
c |
b |
(neg.f64 b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(/.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(neg.f64 c) |
c |
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 b a) c) |
(/.f64 b a) |
b |
a |
#s(literal 1/2 binary64) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 c a) #s(literal -1 binary64)) |
(*.f64 c a) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(literal -1 binary64) |
(/.f64 c b) |
c |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
a |
(/.f64 c b) |
c |
b |
(neg.f64 b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 a c) #s(literal -4 binary64)) |
(/.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)) (neg.f64 c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)) (neg.f64 c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(neg.f64 c) |
c |
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) c) b (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a))) |
(/.f64 (/.f64 b a) c) |
(/.f64 (/.f64 b c) a) |
(/.f64 b a) |
b |
a |
#s(literal 1/2 binary64) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) c) a) |
(pow.f64 (*.f64 c a) #s(literal -1 binary64)) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) c) |
(*.f64 c a) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.790143445037124 | (/.f64 (/.f64 b a) c) | |
| accuracy | 5.061662214003124 | (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 11.36954844964728 | (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 18.87333058652335 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) | |
| accuracy | 5.9589401600734195 | (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) | |
| accuracy | 8.22806696598864 | (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) | |
| accuracy | 23.29323499649867 | #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) | |
| accuracy | 30.125126405406785 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) | |
| accuracy | 0.0 | #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)) | |
| accuracy | 0.7466821744975627 | (fma.f64 a (/.f64 c b) (neg.f64 b)) | |
| accuracy | 3.582749352504767 | (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) | |
| accuracy | 28.326880656609337 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 23.129665231839994 | #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) | |
| accuracy | 28.326880656609337 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 0.0 | #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) | |
| accuracy | 28.326880656609337 | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
| 50.0ms | 123× | 0 | valid |
| 45.0ms | 89× | 0 | invalid |
| 17.0ms | 18× | 2 | valid |
| 16.0ms | 21× | 1 | valid |
| 9.0ms | 5× | 3 | valid |
Compiled 312 to 53 computations (83% saved)
ival-mult: 38.0ms (36% of total)ival-div: 17.0ms (16.1% of total)ival-add: 14.0ms (13.3% of total)adjust: 12.0ms (11.4% of total)ival-sqrt: 10.0ms (9.5% of total)ival-pow: 10.0ms (9.5% of total)ival-neg: 2.0ms (1.9% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(/.f64 b a) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(neg.f64 c) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 b a) c) |
| Outputs |
|---|
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 b))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (- (/ (* a c) b) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
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#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a))))) |
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#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))) |
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#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))) |
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#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))) |
#s(approx (neg c) #s(hole binary64 (* -1 c))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (/ a b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (/ b c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | a | @ | -inf | ((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c)) |
| 7.0ms | c | @ | inf | ((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c)) |
| 5.0ms | c | @ | 0 | ((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c)) |
| 5.0ms | a | @ | 0 | ((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c)) |
| 4.0ms | b | @ | -inf | ((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 751 | 6548 |
| 0 | 777 | 6106 |
| 0 | 3976 | 5957 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(/.f64 b a) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(neg.f64 c) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 b a) c) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (/ b a) #s(hole binary64 (/ b a))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 b))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (- (/ (* a c) b) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (/ (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))) a)))) |
#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c)))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4)))) |
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c)))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ c b))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ c b))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b)))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (/ (* a c) b))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (/ c b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
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#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))) |
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#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b)))))) |
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (/ b c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (/.f64 c b) (/.f64 c b))) (-.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (pow.f64 (/.f64 c b) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 c b) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c b) a (neg.f64 b))) (neg.f64 a)) |
(/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 c b) a) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 (*.f64 (/.f64 c b) a) a)) |
(+.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (neg.f64 b) a)) |
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 (/.f64 c b) a) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 c b) a) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))) (-.f64 (neg.f64 b) (*.f64 (/.f64 c b) a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) (neg.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a)) (*.f64 (neg.f64 b) (*.f64 (/.f64 c b) a))))) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (*.f64 (/.f64 c b) a)) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(fma.f64 b #s(literal -1 binary64) (*.f64 (/.f64 c b) a)) |
(+.f64 (*.f64 (/.f64 c b) a) (neg.f64 b)) |
(+.f64 (neg.f64 b) (*.f64 (/.f64 c b) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c) |
(*.f64 c #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c) #s(literal -1 binary64)) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 c)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)) |
(fma.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)) (neg.f64 c) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 c))) |
(fma.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)) (neg.f64 c)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 c))) |
(+.f64 (*.f64 (neg.f64 c) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 c a) #s(literal -1 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(*.f64 c #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) c) |
(neg.f64 c) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) |
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 c)) |
(/.f64 (/.f64 b a) c) |
(/.f64 (neg.f64 b) (neg.f64 (*.f64 c a))) |
(/.f64 b (*.f64 c a)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 (neg.f64 b) a)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (neg.f64 b) a)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) |
#s(approx (+ (* a (/ c b)) (neg b)) (neg.f64 b)) |
#s(approx (+ (* a (/ c b)) (neg b)) (-.f64 (*.f64 (/.f64 c b) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 c b) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (neg.f64 (*.f64 c (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) a)))) |
#s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a))) |
#s(approx (sqrt (* (/ a c) -4)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
#s(approx (sqrt (* (pow (* c a) -1) -1)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (/ b a) c) (/.f64 (/.f64 b a) c)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (/.f64 c b)) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (/.f64 c b) a)) |
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)) a)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) (*.f64 c a))) a)) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (+ (* a (/ c b)) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 c b) #s(literal -1 binary64) (/.f64 b a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) b) a))) a))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) |
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b)) |
#s(approx (/ c b) (/.f64 c b)) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b)) |
#s(approx (+ (* a (/ c b)) (neg b)) (/.f64 (fma.f64 c a (neg.f64 (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 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 -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/2 binary64))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b)) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b)) |
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 b)) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) #s(literal 1 binary64)) b)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (neg.f64 b) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (pow.f64 c #s(literal -1 binary64))) b)) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) b)) (/.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64))))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 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 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) c)) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (neg.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) |
#s(approx (neg c) (neg.f64 c)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 a b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 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 -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (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 -4 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 -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c)) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c)) |
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64))))) |
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64))))) |
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal -1 binary64) (/.f64 b c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c))))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 b c)))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) |
Compiled 10 701 to 1 060 computations (90.1% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 2 | 238 |
| Fresh | 0 | 4 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 238 | 15 | 253 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 48.4% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 29.8% | (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 12.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
| 26.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 38.0% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 35.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) | |
| 27.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a))))))) | |
| 17.0% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) | |
| ✓ | 37.2% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
| ✓ | 12.6% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
| 37.3% | #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) | |
| ✓ | 37.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 14.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) | |
| ✓ | 15.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
Compiled 1 368 to 518 computations (62.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a))))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 16.0ms | a |
| 8.0ms | c |
| 7.0ms | b |
| 7.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 56.2% | 5 | a |
| 86.3% | 3 | b |
| 50.4% | 2 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
4 calls:
| 8.0ms | c |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 1 | c |
| 37.0% | 1 | a |
| 37.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 46.6% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
4 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 12.6% | 1 | c |
| 12.6% | 1 | a |
| 12.6% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.0385051596979885e-67 | 1.2598495154045887e-64 |
| 33.0ms | -2.126903401277472e+72 | -2.0031821050102792e+65 |
| 33.0ms | 210× | 0 | valid |
| 6.0ms | 30× | 2 | valid |
| 5.0ms | 32× | 1 | valid |
| 3.0ms | 33× | 0 | invalid |
Compiled 837 to 645 computations (22.9% saved)
ival-mult: 9.0ms (39.5% of total)ival-div: 3.0ms (13.2% of total)ival-sqrt: 3.0ms (13.2% of total)adjust: 2.0ms (8.8% of total)ival-sub: 2.0ms (8.8% of total)ival-add: 2.0ms (8.8% of total)ival-neg: 2.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0385051596979885e-67 | 1.2598495154045887e-64 |
| 23.0ms | -8.650787864957404e-75 | -2.2060025571142e-83 |
| 13.0ms | 144× | 0 | valid |
| 3.0ms | 39× | 0 | invalid |
Compiled 956 to 730 computations (23.6% saved)
ival-mult: 4.0ms (41.9% of total)ival-div: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% of total)ival-sub: 1.0ms (10.5% of total)ival-sqrt: 1.0ms (10.5% of total)ival-neg: 1.0ms (10.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0385051596979885e-67 | 1.2598495154045887e-64 |
| 1.0ms | -8.650787864957404e-75 | -2.2060025571142e-83 |
Compiled 973 to 747 computations (23.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 2.8716327699783007e-195 | 1.0985642574361446e-165 |
| 14.0ms | -4.244173642897106e-107 | -1.697755112302803e-107 |
| 21.0ms | 226× | 0 | valid |
| 7.0ms | 90× | 0 | invalid |
| 7.0ms | 29× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 979 to 769 computations (21.5% saved)
ival-mult: 9.0ms (39.8% of total)ival-div: 5.0ms (22.1% of total)ival-sub: 2.0ms (8.9% of total)ival-sqrt: 2.0ms (8.9% of total)ival-add: 2.0ms (8.9% of total)ival-neg: 2.0ms (8.9% of total)adjust: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.257524634857935e-204 | 1.1785484392909874e-202 |
| 1.0ms | -4.244173642897106e-107 | -1.697755112302803e-107 |
| 10.0ms | 92× | 0 | valid |
| 4.0ms | 52× | 0 | invalid |
| 3.0ms | 20× | 1 | valid |
Compiled 751 to 581 computations (22.6% saved)
ival-mult: 4.0ms (31.8% of total)ival-sub: 4.0ms (31.8% of total)adjust: 1.0ms (7.9% of total)ival-div: 1.0ms (7.9% of total)ival-add: 1.0ms (7.9% of total)ival-sqrt: 1.0ms (7.9% of total)ival-neg: 1.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.257524634857935e-204 | 1.1785484392909874e-202 |
| 1.0ms | -4.244173642897106e-107 | -1.697755112302803e-107 |
Compiled 656 to 536 computations (18.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 9.793855801810466e-273 | 3.405835484166091e-268 |
| 12.0ms | 126× | 0 | valid |
| 6.0ms | 79× | 0 | invalid |
| 0.0ms | 2× | 1 | valid |
Compiled 372 to 308 computations (17.2% saved)
ival-mult: 5.0ms (45.3% of total)ival-div: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% of total)ival-sub: 1.0ms (9.1% of total)ival-sqrt: 1.0ms (9.1% of total)ival-neg: 1.0ms (9.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.2395380621786987e-12 | 3.962187855038437e-11 |
| 9.0ms | 41× | 2 | valid |
| 4.0ms | 27× | 1 | valid |
| 2.0ms | 28× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
Compiled 368 to 272 computations (26.1% saved)
adjust: 3.0ms (25.4% of total)ival-mult: 3.0ms (25.4% of total)ival-sqrt: 2.0ms (16.9% of total)ival-div: 1.0ms (8.5% of total)ival-sub: 1.0ms (8.5% of total)ival-add: 1.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 709 |
| 1 | 163 | 699 |
| 2 | 343 | 692 |
| 3 | 859 | 650 |
| 4 | 2747 | 650 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 8962953628782945/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 4015394847538247/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 4015394847538247/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal 6090821257124999/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal 2630622583481433/309485009821345068724781056 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))) |
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
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(if (<=.f64 b #s(literal 6090821257124999/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))) |
(if (<=.f64 b #s(literal 2630622583481433/309485009821345068724781056 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))) |
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))) |
| 1× | fuel |
Compiled 709 to 99 computations (86% saved)
Compiled 1 452 to 226 computations (84.4% saved)
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