
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 24 to 20 computations (16.7% saved)
| 882.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
ival-pow2: 155.0ms (24.2% of total)ival-add: 115.0ms (18% of total)ival-mult: 103.0ms (16.1% of total)ival-fabs: 79.0ms (12.4% of total)ival-div: 62.0ms (9.7% of total)ival-sqrt: 58.0ms (9.1% of total)ival-sub: 44.0ms (6.9% of total)exact: 12.0ms (1.9% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 149 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 1 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 0 | 0 | - | 0 | - | q |
| 0 | 0 | - | 0 | - | (-.f64 p r) |
| 0 | 0 | - | 0 | - | (pow.f64 q #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (fabs.f64 p) |
| 0 | 0 | - | 0 | - | (+.f64 (fabs.f64 p) (fabs.f64 r)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | p |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (fabs.f64 r) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) | oflow-rescue | 144 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | overflow | 144 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | overflow | 63 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | overflow | 114 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | overflow | 63 | |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) | uflow-rescue | 5 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | underflow | 5 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | underflow | 68 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | underflow | 17 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | underflow | 68 | |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 149 | 0 |
| - | 0 | 107 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 149 | 0 | 0 |
| - | 0 | 0 | 107 |
| number | freq |
|---|---|
| 0 | 107 |
| 1 | 148 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 220 to 58 computations (73.6% saved)
ival-pow2: 11.0ms (27.7% of total)ival-add: 6.0ms (15.1% of total)ival-mult: 6.0ms (15.1% of total)ival-fabs: 4.0ms (10.1% of total)ival-div: 3.0ms (7.6% of total)ival-sqrt: 3.0ms (7.6% of total)ival-sub: 2.0ms (5% of total)ival-true: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 187 |
| 1 | 195 | 184 |
| 2 | 510 | 184 |
| 3 | 1425 | 184 |
| 4 | 2416 | 184 |
| 5 | 3647 | 184 |
| 6 | 4703 | 184 |
| 7 | 5751 | 184 |
| 8 | 6040 | 184 |
| 9 | 6330 | 184 |
| 10 | 6647 | 184 |
| 11 | 6782 | 184 |
| 12 | 7663 | 184 |
| 0 | 18 | 20 |
| 0 | 31 | 20 |
| 1 | 57 | 20 |
| 2 | 113 | 20 |
| 3 | 294 | 20 |
| 4 | 549 | 20 |
| 5 | 790 | 20 |
| 6 | 917 | 20 |
| 7 | 1179 | 20 |
| 8 | 1581 | 20 |
| 9 | 1881 | 20 |
| 10 | 2041 | 20 |
| 11 | 2111 | 20 |
| 0 | 2111 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64)) |
(abs q)
(sort p r)
Compiled 22 to 18 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
Compiled 22 to 18 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) | |
| cost-diff | 1 | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 93 |
| 0 | 31 | 93 |
| 1 | 57 | 93 |
| 2 | 113 | 93 |
| 3 | 294 | 93 |
| 4 | 549 | 93 |
| 5 | 790 | 93 |
| 6 | 917 | 93 |
| 7 | 1179 | 93 |
| 8 | 1581 | 93 |
| 9 | 1881 | 93 |
| 10 | 2041 | 93 |
| 11 | 2111 | 93 |
| 0 | 2111 | 89 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 p) |
p |
(fabs.f64 r) |
r |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(pow.f64 q #s(literal 2 binary64)) |
q |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 p) |
p |
(fabs.f64 r) |
r |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 q #s(literal 2 binary64)) |
(*.f64 q q) |
q |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.021816259768442016 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | |
| accuracy | 0.0234375 | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | |
| accuracy | 0.20040760058641027 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) | |
| accuracy | 34.52055749952509 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 52.0ms | 256× | 0 | valid |
Compiled 99 to 20 computations (79.8% saved)
ival-pow2: 6.0ms (24.8% of total)ival-assert: 5.0ms (20.7% of total)ival-add: 3.0ms (12.4% of total)ival-mult: 3.0ms (12.4% of total)ival-div: 2.0ms (8.3% of total)ival-fabs: 2.0ms (8.3% of total)ival-sqrt: 2.0ms (8.3% of total)ival-sub: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Outputs |
|---|
(+ (* 4 (pow q 2)) (pow r 2)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(pow r 2) |
(+ (* -2 (* p r)) (pow r 2)) |
(+ (* p (+ p (* -2 r))) (pow r 2)) |
(pow p 2) |
(* (pow p 2) (+ 1 (* -2 (/ r p)))) |
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2)))))) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
p |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2))))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p)))) |
(* -1/2 p) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 p) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p)))) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))))) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (* -2 (* p r)) (pow p 2)) |
(+ (* r (+ r (* -2 p))) (pow p 2)) |
(* (pow r 2) (+ 1 (* -2 (/ p r)))) |
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2)))))) |
(* 1/2 r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
r |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2))))) |
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r)))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r)))) |
(pow (- p r) 2) |
(+ (* 4 (pow q 2)) (pow (- p r) 2)) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
(* 4 (pow q 2)) |
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2)))) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* 2 q) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | q | @ | 0 | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | p | @ | 0 | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | r | @ | 0 | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | q | @ | inf | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | p | @ | inf | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 576 | 3228 |
| 1 | 2113 | 3014 |
| 0 | 8685 | 2798 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow q 2)) (pow r 2)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(pow r 2) |
(+ (* -2 (* p r)) (pow r 2)) |
(+ (* p (+ p (* -2 r))) (pow r 2)) |
(pow p 2) |
(* (pow p 2) (+ 1 (* -2 (/ r p)))) |
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2)))))) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
p |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2))))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p)))) |
(* -1/2 p) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 p) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p)))) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))))) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (* -2 (* p r)) (pow p 2)) |
(+ (* r (+ r (* -2 p))) (pow p 2)) |
(* (pow r 2) (+ 1 (* -2 (/ p r)))) |
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2)))))) |
(* 1/2 r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
r |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2))))) |
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r)))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r)))) |
(pow (- p r) 2) |
(+ (* 4 (pow q 2)) (pow (- p r) 2)) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
(* 4 (pow q 2)) |
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2)))) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* 2 q) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
| Outputs |
|---|
(+ (* 4 (pow q 2)) (pow r 2)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal -1/2 binary64) r))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/4 binary64) p))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+.f64 (fma.f64 (*.f64 p (neg.f64 r)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))) |
(+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) p))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(fma.f64 (*.f64 p (neg.f64 r)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) p))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(pow r 2) |
(*.f64 r r) |
(+ (* -2 (* p r)) (pow r 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) p r) r) |
(+ (* p (+ p (* -2 r))) (pow r 2)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 p p)) |
(pow p 2) |
(*.f64 p p) |
(* (pow p 2) (+ 1 (* -2 (/ r p)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) p) p) |
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) (*.f64 p p)) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 p p)) |
(* 1/2 p) |
(*.f64 #s(literal 1/2 binary64) p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64)))))) p) |
p |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) p p) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)) p p) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))))) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)) p p) |
(* p (+ 1 (* -1 (/ r p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 r p)) p) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p) |
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 r p) (/.f64 r p) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 p p)) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) r (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) (neg.f64 p))) p)) (*.f64 p p)) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) p)) p))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p)) (neg.f64 p))) p))) |
(* -1 p) |
(neg.f64 p) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (+.f64 (+.f64 r (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) (fabs.f64 r))) (fabs.f64 p)) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) p)) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) p)) p))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) r (/.f64 (*.f64 (neg.f64 r) r) p)) p)) (*.f64 p p)) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
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(* 2 q) |
(*.f64 #s(literal 2 binary64) q) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64))) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)))) q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) q) |
(* -1 q) |
(neg.f64 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(neg.f64 (fma.f64 (*.f64 q #s(literal -1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64))) (neg.f64 q)) q q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q)) (neg.f64 q)) |
(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (fabs.f64 r) (fabs.f64 p))) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64))) q)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 72 |
| 0 | 31 | 72 |
| 1 | 121 | 72 |
| 2 | 854 | 68 |
| 0 | 8530 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (*.f64 (neg.f64 (-.f64 p r)) (-.f64 p r)) #s(literal 3 binary64))) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 (neg.f64 (-.f64 p r)) (-.f64 p r)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 q #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 q q))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r))) (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 p r) (*.f64 (+.f64 r p) (-.f64 p r)))) (neg.f64 (+.f64 r p))) |
(/.f64 (neg.f64 (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (*.f64 p p))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (+.f64 r p) (-.f64 p r)))) (neg.f64 (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (+.f64 r p)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 r p) (-.f64 p r))) (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (neg.f64 (+.f64 r p)) (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 r p) (-.f64 p r))) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (*.f64 (neg.f64 (+.f64 r p)) (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 r p) (-.f64 p r)))) (*.f64 (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p))) (neg.f64 (+.f64 r p)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (*.f64 (+.f64 r p) (-.f64 p r))) (*.f64 (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p))) (+.f64 r p))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p))) (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (+.f64 r p) (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (neg.f64 (*.f64 (+.f64 r p) (-.f64 p r)))) (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (neg.f64 (+.f64 r p)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (neg.f64 (fma.f64 r (+.f64 r p) (*.f64 p p))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 r p) (-.f64 p r))) (*.f64 (+.f64 r p) (-.f64 p r))) (*.f64 (neg.f64 (+.f64 r p)) (+.f64 r p))) |
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (neg.f64 (*.f64 (+.f64 r p) (-.f64 p r)))) (*.f64 (+.f64 r p) (neg.f64 (+.f64 r p)))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 p r))) (fabs.f64 (+.f64 r p))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r))) (fabs.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 p r) (*.f64 (+.f64 r p) (-.f64 p r)))) (fabs.f64 (+.f64 r p))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (*.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (*.f64 p p))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (+.f64 r p) (-.f64 p r)))) (fabs.f64 (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (+.f64 r p)))) |
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64))) (pow.f64 (+.f64 r p) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 p r)) (+.f64 r p)) |
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r)) (fma.f64 r (+.f64 r p) (*.f64 p p))) |
(/.f64 (*.f64 (-.f64 p r) (*.f64 (+.f64 r p) (-.f64 p r))) (+.f64 r p)) |
(/.f64 (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 r (+.f64 r p) (*.f64 p p))) |
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (*.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (*.f64 p p)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (+.f64 r p) (-.f64 p r))) (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (+.f64 r p))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)) (pow.f64 (+.f64 r p) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) q)) q) |
(*.f64 (*.f64 #s(literal 4 binary64) q) q) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(*.f64 q (fabs.f64 (*.f64 q #s(literal 4 binary64)))) |
(*.f64 q (*.f64 q #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 q q)) |
(sqrt.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
Compiled 18 558 to 2 036 computations (89% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 385 | 9 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 386 | 9 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.2% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
| 31.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q))) | |
| ▶ | 39.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
| 59.5% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) | |
| 54.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r)) | |
| ▶ | 62.5% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ▶ | 8.9% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
| 8.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) | |
| ▶ | 1.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
Compiled 574 to 434 computations (24.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (fabs.f64 p) (fabs.f64 r)) | |
| cost-diff | 0 | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) | |
| cost-diff | 0 | (*.f64 q #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) | |
| cost-diff | 4 | (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) r) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| cost-diff | 0 | (neg.f64 q) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (neg.f64 p) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 3 | (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 319 |
| 0 | 69 | 319 |
| 1 | 137 | 319 |
| 2 | 320 | 319 |
| 3 | 997 | 319 |
| 4 | 2955 | 309 |
| 0 | 8449 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 r (fabs.f64 r)) |
r |
(fabs.f64 r) |
(fabs.f64 p) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
(neg.f64 q) |
q |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
(*.f64 #s(literal 1/2 binary64) r) |
#s(literal 1/2 binary64) |
r |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) |
(*.f64 q #s(literal 1/2 binary64)) |
q |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
p |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 p) |
p |
(fabs.f64 r) |
r |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 p r) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) p))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) p)) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(/.f64 (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) p) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) |
(+.f64 r (fabs.f64 r)) |
(+.f64 (fabs.f64 r) r) |
r |
(fabs.f64 r) |
(fabs.f64 p) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
(neg.f64 q) |
q |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) r) |
(*.f64 r #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
r |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)) |
(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) |
(fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) |
(*.f64 q #s(literal 1/2 binary64)) |
q |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
p |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(*.f64 (+.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(+.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (fabs.f64 p)) (fabs.f64 r)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 p) |
p |
(fabs.f64 r) |
r |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 p r) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.20040760058641027 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) | |
| accuracy | 8.658989191562663 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) | |
| accuracy | 17.97788644075622 | #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) | |
| accuracy | 11.186982752143084 | (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) | |
| accuracy | 36.938065666380346 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) r) | |
| accuracy | 58.10084211904423 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| accuracy | 0.0 | (neg.f64 q) | |
| accuracy | 62.94696060997579 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) | |
| accuracy | 0.0078125 | (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.25289748356814457 | (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) | |
| accuracy | 5.9442383002176875 | (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 17.959262178806284 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| 62.0ms | 254× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
| 1.0ms | 1× | 3 | valid |
Compiled 276 to 39 computations (85.9% saved)
ival-mult: 12.0ms (26.2% of total)ival-div: 10.0ms (21.9% of total)ival-add: 8.0ms (17.5% of total)ival-pow2: 6.0ms (13.1% of total)ival-sub: 2.0ms (4.4% of total)ival-sqrt: 2.0ms (4.4% of total)ival-fabs: 2.0ms (4.4% of total)ival-neg: 2.0ms (4.4% of total)adjust: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 p) |
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
(neg.f64 q) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
(*.f64 #s(literal 1/2 binary64) r) |
(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
(*.f64 q #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(fabs.f64 p) |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
| Outputs |
|---|
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* -1 p) |
(* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) |
(/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(/ (+ (fabs p) (fabs r)) q) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))) |
(+ (fabs p) (fabs r)) |
(/ (+ r (+ (fabs p) (fabs r))) p) |
(fabs p) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
r |
(+ r (* -1 p)) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
1/2 |
(+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) |
p |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* p (- (/ r p) 1)) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))) |
(+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p)))) |
(* 1/2 r) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))))) |
(/ (+ (fabs p) (fabs r)) p) |
(+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* -1/2 (/ r p)) |
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))) |
(/ r p) |
(* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r))))) |
(* -1 (* r (- (* -1 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p)))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* -1 (* r (- (/ p r) 1))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* -1 q) |
(* 1/2 (+ (fabs p) (fabs r))) |
(* 1/2 q) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* 2 q) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | q | @ | inf | ((* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (/ 1 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r)) |
| 4.0ms | p | @ | -inf | ((* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (/ 1 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r)) |
| 3.0ms | r | @ | 0 | ((* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (/ 1 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r)) |
| 3.0ms | r | @ | -inf | ((* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (/ 1 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r)) |
| 3.0ms | p | @ | 0 | ((* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (/ 1 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 565 | 3204 |
| 1 | 2056 | 3001 |
| 0 | 8535 | 2809 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* -1 p) |
(* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) |
(/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(/ (+ (fabs p) (fabs r)) q) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))) |
(+ (fabs p) (fabs r)) |
(/ (+ r (+ (fabs p) (fabs r))) p) |
(fabs p) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
r |
(+ r (* -1 p)) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
1/2 |
(+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) |
p |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* p (- (/ r p) 1)) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))) |
(+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p)))) |
(* 1/2 r) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))))) |
(/ (+ (fabs p) (fabs r)) p) |
(+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* -1/2 (/ r p)) |
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))) |
(/ r p) |
(* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r))))) |
(* -1 (* r (- (* -1 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p)))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* -1 (* r (- (/ p r) 1))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* -1 q) |
(* 1/2 (+ (fabs p) (fabs r))) |
(* 1/2 q) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r) |
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* 2 q) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
| Outputs |
|---|
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal -1/2 binary64) r))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/4 binary64) p))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(* -1 p) |
(neg.f64 p) |
(* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) |
(*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)) p) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(/ (+ (fabs p) (fabs r)) q) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+.f64 (fma.f64 (*.f64 p (neg.f64 r)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r))) p (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))) |
(+.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) p))) p (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (fabs r)) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(/ (+ r (+ (fabs p) (fabs r))) p) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(fabs p) |
(fabs.f64 p) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(fma.f64 (*.f64 p (neg.f64 r)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (neg.f64 r)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) p))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
r |
(+ r (* -1 p)) |
(-.f64 r p) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) p) |
(* 1/2 p) |
(*.f64 #s(literal 1/2 binary64) p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64)))))) p) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) |
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
p |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) p p) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)) p p) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))))) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)) p p) |
(* p (+ 1 (* -1 (/ r p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 r p)) p) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p) |
(* p (- (/ r p) 1)) |
(*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) p)) p))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p)) (neg.f64 p))) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (+.f64 (+.f64 r (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 q q) p) (fabs.f64 r))) (fabs.f64 p)) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) p)) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 q q) p) r) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) p)) p))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p (*.f64 #s(literal 1/2 binary64) r)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 r p)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 #s(literal -1/2 binary64) p))) r (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal 1/4 binary64) r))) r (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p)))) |
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* 1/2 r) |
(*.f64 #s(literal 1/2 binary64) r) |
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) |
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(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(neg.f64 (fma.f64 (*.f64 q #s(literal -1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64))) (neg.f64 q)) q q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q)) (neg.f64 q)) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q)) |
(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (fabs.f64 r) (fabs.f64 p))) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 270 |
| 0 | 69 | 270 |
| 1 | 279 | 270 |
| 2 | 2171 | 241 |
| 0 | 10860 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 p) |
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
(neg.f64 q) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
(*.f64 #s(literal 1/2 binary64) r) |
(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
(*.f64 q #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(fabs.f64 p) |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) (neg.f64 p)) |
(*.f64 p (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 p) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 p)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 p)) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (neg.f64 p) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 p) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 p)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 p)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 p) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 p)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 p)))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) p)) |
(fma.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
(fma.f64 (*.f64 (neg.f64 p) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) (neg.f64 p) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 p) (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) (neg.f64 p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) (*.f64 #s(literal -1/2 binary64) (neg.f64 p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
(fma.f64 (neg.f64 p) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
(fma.f64 (neg.f64 p) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p))) |
(-.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 p #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 #s(literal -1/2 binary64) (neg.f64 p))) |
(-.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 (neg.f64 (neg.f64 p)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 p)) (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p))) |
(+.f64 (*.f64 (*.f64 (neg.f64 p) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 p))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) (neg.f64 p))) |
(neg.f64 p) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64)))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 p (+.f64 r r)) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/4 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
(neg.f64 q) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
(*.f64 #s(literal 1/2 binary64) r) |
(*.f64 r #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) q) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) q) q)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) q) q) (*.f64 q q))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) q) q) (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) q) q))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 p r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (-.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 2 binary64))) (-.f64 (+.f64 p r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (*.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 p r))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (-.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) (+.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(fma.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r)) |
(fma.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r)) |
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) (+.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r)) |
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) (+.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r)) |
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (+.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r)) |
(-.f64 (/.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (-.f64 (+.f64 p r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 2 binary64)) (-.f64 (+.f64 p r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))) |
(+.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) p) r) |
(+.f64 (/.f64 (pow.f64 (+.f64 p r) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (-.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (-.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r) p) |
(+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 p r)) |
(+.f64 (+.f64 p r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(+.f64 p (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) r)) |
(+.f64 r (+.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(/.f64 (-.f64 (*.f64 (*.f64 r r) (-.f64 r p)) (*.f64 (-.f64 r p) (*.f64 p p))) (pow.f64 (-.f64 r p) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 p p) (-.f64 p r)) (*.f64 (-.f64 p r) (*.f64 r r))) (pow.f64 (-.f64 r p) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)) (*.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 r (-.f64 r p) (*.f64 p p)) (*.f64 (fma.f64 r (-.f64 r p) (*.f64 p p)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (-.f64 r p) (*.f64 p p)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 p r) (-.f64 r p))) (neg.f64 (-.f64 r p))) |
(/.f64 (neg.f64 (*.f64 (+.f64 p r) (-.f64 p r))) (neg.f64 (-.f64 p r))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (fma.f64 r (-.f64 r p) (*.f64 p p)))) |
(/.f64 (*.f64 (+.f64 p r) (-.f64 r p)) (-.f64 r p)) |
(/.f64 (*.f64 (+.f64 p r) (-.f64 p r)) (-.f64 p r)) |
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (-.f64 p r) (*.f64 r r))) |
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 r (-.f64 r p) (*.f64 p p))) |
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) p) |
(fma.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)) r) |
(fma.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p)) r) |
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) p) |
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) |
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) p) |
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) r) |
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) p) |
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) r) |
(-.f64 (/.f64 (*.f64 r r) (-.f64 r p)) (/.f64 (*.f64 p p) (-.f64 r p))) |
(-.f64 (/.f64 (*.f64 p p) (-.f64 p r)) (/.f64 (*.f64 r r) (-.f64 p r))) |
(+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(+.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 r (-.f64 r p) (*.f64 p p))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r (-.f64 r p) (*.f64 p p)))) |
(+.f64 p r) |
(+.f64 r p) |
(/.f64 (fma.f64 p r (*.f64 p (+.f64 p r))) (*.f64 p p)) |
(/.f64 (fma.f64 p p (*.f64 (neg.f64 p) (neg.f64 (+.f64 r r)))) (*.f64 p p)) |
(/.f64 (fma.f64 (neg.f64 p) (*.f64 (-.f64 r r) p) (*.f64 (neg.f64 p) (*.f64 r (-.f64 r r)))) (*.f64 (neg.f64 p) (*.f64 (-.f64 r r) p))) |
(/.f64 (fma.f64 (neg.f64 p) (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p) (*.f64 (neg.f64 p) (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (neg.f64 p) (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p))) |
(/.f64 (fma.f64 (neg.f64 p) p (*.f64 (neg.f64 p) (+.f64 r r))) (*.f64 (neg.f64 p) p)) |
(/.f64 (fma.f64 p (neg.f64 p) (*.f64 p (neg.f64 (+.f64 r r)))) (*.f64 p (neg.f64 p))) |
(/.f64 (fma.f64 p (*.f64 (-.f64 r r) p) (*.f64 p (*.f64 r (-.f64 r r)))) (*.f64 p (*.f64 (-.f64 r r) p))) |
(/.f64 (fma.f64 p (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p) (*.f64 p (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 p (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p))) |
(/.f64 (fma.f64 (neg.f64 (+.f64 r r)) (neg.f64 p) (*.f64 p p)) (*.f64 p p)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 r r)) p (*.f64 (neg.f64 p) p)) (*.f64 (neg.f64 p) p)) |
(/.f64 (fma.f64 (*.f64 r (-.f64 r r)) (neg.f64 p) (*.f64 (*.f64 (-.f64 r r) p) (neg.f64 p))) (*.f64 (*.f64 (-.f64 r r) p) (neg.f64 p))) |
(/.f64 (fma.f64 (*.f64 r (-.f64 r r)) p (*.f64 (*.f64 (-.f64 r r) p) p)) (*.f64 (*.f64 (-.f64 r r) p) p)) |
(/.f64 (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (neg.f64 p) (*.f64 (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p) (neg.f64 p))) (*.f64 (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p) (neg.f64 p))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) p (*.f64 (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p) p)) (*.f64 (*.f64 (fma.f64 r (-.f64 r r) (*.f64 r r)) p) p)) |
(/.f64 (fma.f64 (+.f64 r r) (neg.f64 p) (*.f64 p (neg.f64 p))) (*.f64 p (neg.f64 p))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 r r) p) #s(literal 2 binary64)) (pow.f64 (/.f64 p p) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (fma.f64 p p (*.f64 p (+.f64 r r))) (*.f64 p p)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 r r) p) #s(literal 3 binary64)) (pow.f64 (/.f64 p p) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 r r) p) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 p p) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 r r) p) (/.f64 p p))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 p (+.f64 r r)))) (neg.f64 (neg.f64 p))) |
(/.f64 (fma.f64 p (+.f64 r r) (*.f64 p p)) (*.f64 p p)) |
(/.f64 (-.f64 (pow.f64 (+.f64 r r) #s(literal 2 binary64)) (*.f64 p p)) (*.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (+.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 (fma.f64 p (-.f64 p (+.f64 r r)) (pow.f64 (+.f64 r r) #s(literal 2 binary64))) p)) |
(/.f64 (neg.f64 (+.f64 p (+.f64 r r))) (neg.f64 p)) |
(/.f64 (+.f64 p (+.f64 r r)) p) |
(neg.f64 (/.f64 (neg.f64 (+.f64 p (+.f64 r r))) p)) |
(neg.f64 (/.f64 (+.f64 p (+.f64 r r)) (neg.f64 p))) |
(+.f64 (/.f64 r p) (/.f64 (+.f64 p r) p)) |
(+.f64 (/.f64 p p) (/.f64 (+.f64 r r) p)) |
(+.f64 (/.f64 (+.f64 r r) p) (/.f64 p p)) |
(*.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p))) |
(*.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p))) |
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p))) |
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 p) (sqrt.f64 p)) |
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) |
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64)) |
(pow.f64 p #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 p p)) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p)))) |
(fabs.f64 (neg.f64 (neg.f64 p))) |
(fabs.f64 p) |
(fabs.f64 (neg.f64 p)) |
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) |
p |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64))) r) (fma.f64 (/.f64 p r) (+.f64 (/.f64 p r) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)))) (+.f64 (/.f64 p r) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)))) (fma.f64 (/.f64 p r) (+.f64 (/.f64 p r) #s(literal 1 binary64)) #s(literal 1 binary64))) |
Compiled 17 674 to 1 757 computations (90.1% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 5 | 387 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 386 | 10 | 396 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
| ▶ | 59.5% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
| 54.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r)) | |
| ✓ | 8.9% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
| ▶ | 8.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 1.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| ▶ | 42.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
| 14.9% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) | |
| 43.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) | |
| ▶ | 71.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
Compiled 709 to 507 computations (28.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5 | (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) | |
| cost-diff | 1 | (-.f64 p (fabs.f64 p)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) | |
| cost-diff | 0 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) | |
| cost-diff | 1 | (+.f64 (fabs.f64 r) (fabs.f64 p)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) p) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) | |
| cost-diff | 0 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) | |
| cost-diff | 1 | (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 431 |
| 0 | 90 | 419 |
| 1 | 189 | 419 |
| 2 | 477 | 416 |
| 3 | 1475 | 392 |
| 4 | 5282 | 391 |
| 0 | 8062 | 380 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) |
#s(literal -1/2 binary64) |
(-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) |
p |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 r (fabs.f64 r)) |
r |
(fabs.f64 r) |
(fabs.f64 p) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
#s(literal -1/2 binary64) |
p |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
p |
q |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) |
(-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) |
(fabs.f64 r) |
r |
(-.f64 p (fabs.f64 p)) |
p |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) |
(sqrt.f64 (neg.f64 p)) |
(neg.f64 p) |
p |
r |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 p r) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (+.f64 p p) r) (fabs.f64 r)) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (+.f64 p p) r) (fabs.f64 r)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) |
(*.f64 (-.f64 (-.f64 (+.f64 p p) r) (fabs.f64 r)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) |
(-.f64 (-.f64 (+.f64 p p) r) (fabs.f64 r)) |
p |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 (-.f64 r p) (fabs.f64 r)) |
(+.f64 r (fabs.f64 r)) |
(+.f64 (fabs.f64 r) r) |
r |
(fabs.f64 r) |
(fabs.f64 p) |
(neg.f64 p) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
#s(literal -1/2 binary64) |
p |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(-.f64 (fabs.f64 r) p) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
(neg.f64 p) |
p |
q |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 r) p) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 r) p) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 r) p) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) |
(/.f64 (-.f64 (-.f64 (fabs.f64 r) p) p) r) |
(-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) |
(-.f64 (-.f64 (fabs.f64 r) p) p) |
(fabs.f64 r) |
r |
(-.f64 p (fabs.f64 p)) |
(+.f64 p p) |
p |
(fabs.f64 p) |
(neg.f64 p) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(*.f64 (-.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (-.f64 p r)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(-.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (-.f64 p r)) |
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) |
(-.f64 r p) |
(sqrt.f64 (neg.f64 p)) |
(neg.f64 p) |
p |
r |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 p r) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 p) | |
| accuracy | 0.23828125 | (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) | |
| accuracy | 8.655082941562663 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) | |
| accuracy | 13.612033273354776 | #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) | |
| accuracy | 8.655082941562663 | (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) | |
| accuracy | 13.597822141340453 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) | |
| accuracy | 0.0 | (fabs.f64 r) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.0 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) | |
| accuracy | 25.15683262305945 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) p) | |
| accuracy | 39.51787757278386 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.0 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))) | |
| accuracy | 0.0078125 | (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) | |
| accuracy | 13.597822141340453 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
| 70.0ms | 178× | 0 | valid |
| 25.0ms | 77× | 0 | invalid |
| 1.0ms | 1× | 3 | valid |
Compiled 335 to 53 computations (84.2% saved)
ival-mult: 23.0ms (36.6% of total)ival-add: 13.0ms (20.7% of total)ival-div: 8.0ms (12.7% of total)ival-pow2: 6.0ms (9.5% of total)ival-sub: 5.0ms (8% of total)ival-sqrt: 3.0ms (4.8% of total)ival-fabs: 2.0ms (3.2% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(-.f64 p (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) |
(fabs.f64 p) |
(fabs.f64 r) |
(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(neg.f64 p) |
| Outputs |
|---|
(+ r (+ (fabs p) (fabs r))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(* -1/2 p) |
(+ (fabs p) (fabs r)) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(* -1 (fabs p)) |
(- p (fabs p)) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) |
(+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))) |
(+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
r |
(+ r (* p (pow (sqrt -1) 2))) |
(* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))) (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))))) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))) (pow (sqrt -1) 2)))))) |
(* -1 (+ r (+ (fabs p) (fabs r)))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(fabs p) |
(/ (+ (fabs p) (fabs r)) r) |
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(+ r (* -1 p)) |
(* -1 p) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
p |
(* p (+ 1 (* -1 (/ (fabs p) p)))) |
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)) |
(* -1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))) |
(* p (pow (sqrt -1) 2)) |
(* p (+ (/ r p) (pow (sqrt -1) 2))) |
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ (+ r (* -1 r)) p)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (pow (sqrt -1) 2))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ r p) (pow (sqrt -1) 2))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (pow (sqrt -1) 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (pow (sqrt -1) 2))))))) |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(* -1 (/ p r)) |
(* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* p (- (/ r p) 1)) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (- (/ (fabs p) p) 1))) |
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))) |
(* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p))) p))))) |
(* -2 p) |
(* -1 (* p (+ 2 (* -2 (/ r p))))) |
(* -1 (* p (+ 2 (* -1 (/ (+ (* -2 (/ (pow q 2) p)) (* 2 r)) p))))) |
(* -1 (* p (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)) (* 2 r)) p))))) |
(* -1 (* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r)))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(* -1/2 (- p (+ (fabs p) (fabs r)))) |
(+ (* -1/2 (- p (+ (fabs p) (fabs r)))) (* 1/2 r)) |
(* 1/2 (- (+ (fabs p) (fabs r)) p)) |
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) |
(* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) |
(/ (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r) |
(* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) |
(+ (* 1/2 (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (+ (* p (pow (sqrt -1) 2)) (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (+ (* p (pow (sqrt -1) 2)) (* r (+ 1 (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (+ (* p (pow (sqrt -1) 2)) (* r (+ 1 (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))))) |
(- p (+ (fabs p) (fabs r))) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(fabs r) |
(/ (- (+ (fabs p) (fabs r)) p) r) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r)))) |
(* 1/2 r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(* r (+ 1/2 (* -1/2 (/ (- p (+ (fabs p) (fabs r))) r)))) |
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) |
1/2 |
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))) |
(* r (+ 1 (/ (* p (pow (sqrt -1) 2)) r))) |
(* r (+ 1 (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* 2 r) |
(* r (+ 2 (+ (* -1 (/ p r)) (/ (* p (pow (sqrt -1) 2)) r)))) |
(* r (+ 2 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (/ (* p (pow (sqrt -1) 2)) r))))) |
(* r (+ 2 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (/ (* p (pow (sqrt -1) 2)) r)))))) |
(* -1 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(* -1 (* r (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (* p (pow (sqrt -1) 2)) r)) 1))) |
(* 1/2 (+ p (* p (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ p (* p (pow (sqrt -1) 2))) |
(+ p (+ (* -2 (/ (pow q 2) r)) (* p (pow (sqrt -1) 2)))) |
(+ p (+ (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)) (* p (pow (sqrt -1) 2)))) |
(+ p (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* p (pow q 2))) (* 1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (* 2 (pow q 2))) r)) (* p (pow (sqrt -1) 2)))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* -1 (* r (- (/ p r) 1))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* 1/2 (+ (fabs p) (fabs r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(+ p (+ (* 2 (/ (pow q 2) (- p r))) (* p (pow (sqrt -1) 2)))) |
(+ p (+ (* p (pow (sqrt -1) 2)) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))))) |
(+ p (+ (* p (pow (sqrt -1) 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r))))))) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* q (+ 1 (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))))) |
(* 2 q) |
(* q (+ 2 (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (* -1/4 (/ (pow (- p r) 2) q)) (* p (pow (sqrt -1) 2)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (* p (pow (sqrt -1) 2)))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | r | @ | 0 | ((+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (- p (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (/ 1 2) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- p (+ (+ r (fabs r)) (fabs p))) (fabs p) (fabs r) (/ (- (fabs r) (- p (fabs p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (neg p)) |
| 4.0ms | p | @ | 0 | ((+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (- p (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (/ 1 2) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- p (+ (+ r (fabs r)) (fabs p))) (fabs p) (fabs r) (/ (- (fabs r) (- p (fabs p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (neg p)) |
| 4.0ms | r | @ | -inf | ((+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (- p (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (/ 1 2) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- p (+ (+ r (fabs r)) (fabs p))) (fabs p) (fabs r) (/ (- (fabs r) (- p (fabs p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (neg p)) |
| 3.0ms | p | @ | inf | ((+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (- p (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (/ 1 2) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- p (+ (+ r (fabs r)) (fabs p))) (fabs p) (fabs r) (/ (- (fabs r) (- p (fabs p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (neg p)) |
| 3.0ms | r | @ | inf | ((+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (- p (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (/ 1 2) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- p (+ (+ r (fabs r)) (fabs p))) (fabs p) (fabs r) (/ (- (fabs r) (- p (fabs p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (neg p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 752 | 4670 |
| 1 | 2797 | 4185 |
| 0 | 8968 | 3928 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ r (+ (fabs p) (fabs r))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(* -1/2 p) |
(+ (fabs p) (fabs r)) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(* -1 (fabs p)) |
(- p (fabs p)) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) |
(+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))) |
(+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
r |
(+ r (* p (pow (sqrt -1) 2))) |
(* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))) (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))))) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))) (pow (sqrt -1) 2)))))) |
(* -1 (+ r (+ (fabs p) (fabs r)))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(fabs p) |
(/ (+ (fabs p) (fabs r)) r) |
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(+ r (* -1 p)) |
(* -1 p) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
p |
(* p (+ 1 (* -1 (/ (fabs p) p)))) |
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)) |
(* -1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))) |
(* p (pow (sqrt -1) 2)) |
(* p (+ (/ r p) (pow (sqrt -1) 2))) |
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ (+ r (* -1 r)) p)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (pow (sqrt -1) 2))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ r p) (pow (sqrt -1) 2))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (pow (sqrt -1) 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (pow (sqrt -1) 2))))))) |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(* -1 (/ p r)) |
(* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* p (- (/ r p) 1)) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (- (/ (fabs p) p) 1))) |
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))) |
(* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p))) p))))) |
(* -2 p) |
(* -1 (* p (+ 2 (* -2 (/ r p))))) |
(* -1 (* p (+ 2 (* -1 (/ (+ (* -2 (/ (pow q 2) p)) (* 2 r)) p))))) |
(* -1 (* p (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)) (* 2 r)) p))))) |
(* -1 (* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r)))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(* -1/2 (- p (+ (fabs p) (fabs r)))) |
(+ (* -1/2 (- p (+ (fabs p) (fabs r)))) (* 1/2 r)) |
(* 1/2 (- (+ (fabs p) (fabs r)) p)) |
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) |
(* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) |
(/ (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r) |
(* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) |
(+ (* 1/2 (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (+ (* p (pow (sqrt -1) 2)) (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (+ (* p (pow (sqrt -1) 2)) (* r (+ 1 (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (+ (* p (pow (sqrt -1) 2)) (* r (+ 1 (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))))) |
(- p (+ (fabs p) (fabs r))) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(fabs r) |
(/ (- (+ (fabs p) (fabs r)) p) r) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r)))) |
(* 1/2 r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(* r (+ 1/2 (* -1/2 (/ (- p (+ (fabs p) (fabs r))) r)))) |
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) |
1/2 |
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))) |
(* r (+ 1 (/ (* p (pow (sqrt -1) 2)) r))) |
(* r (+ 1 (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* 2 r) |
(* r (+ 2 (+ (* -1 (/ p r)) (/ (* p (pow (sqrt -1) 2)) r)))) |
(* r (+ 2 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (/ (* p (pow (sqrt -1) 2)) r))))) |
(* r (+ 2 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (/ (* p (pow (sqrt -1) 2)) r)))))) |
(* -1 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(* -1 (* r (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (* p (pow (sqrt -1) 2)) r)) 1))) |
(* 1/2 (+ p (* p (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ p (* p (pow (sqrt -1) 2))) |
(+ p (+ (* -2 (/ (pow q 2) r)) (* p (pow (sqrt -1) 2)))) |
(+ p (+ (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)) (* p (pow (sqrt -1) 2)))) |
(+ p (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* p (pow q 2))) (* 1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (* 2 (pow q 2))) r)) (* p (pow (sqrt -1) 2)))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* -1 (* r (- (/ p r) 1))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* 1/2 (+ (fabs p) (fabs r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(+ p (+ (* 2 (/ (pow q 2) (- p r))) (* p (pow (sqrt -1) 2)))) |
(+ p (+ (* p (pow (sqrt -1) 2)) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))))) |
(+ p (+ (* p (pow (sqrt -1) 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r))))))) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* q (+ 1 (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))))) |
(* 2 q) |
(* q (+ 2 (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (* -1/4 (/ (pow (- p r) 2) q)) (* p (pow (sqrt -1) 2)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (* p (pow (sqrt -1) 2)))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
| Outputs |
|---|
(+ r (+ (fabs p) (fabs r))) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 p r)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (*.f64 #s(literal -1/2 binary64) r))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 (*.f64 p r) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (*.f64 #s(literal -1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(+ (fabs p) (fabs r)) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(* -1 (fabs p)) |
(neg.f64 (fabs.f64 p)) |
(- p (fabs p)) |
(-.f64 p (fabs.f64 p)) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p)) |
(+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(fma.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
r |
(+ r (* p (pow (sqrt -1) 2))) |
(-.f64 r p) |
(* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))) (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)) p (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(fma.f64 (fma.f64 (*.f64 p (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) p (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 (*.f64 p r) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (fma.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) p (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) #s(literal 1/2 binary64))) |
(+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)) p (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r)) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (neg.f64 r)) #s(literal -1 binary64)) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r) |
(+ r (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))) (pow (sqrt -1) 2)))))) |
(+.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) r (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 (*.f64 p r) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p #s(literal -1 binary64))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r) |
(* -1 (+ r (+ (fabs p) (fabs r)))) |
(neg.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(-.f64 (-.f64 p r) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(fabs p) |
(fabs.f64 p) |
(/ (+ (fabs p) (fabs r)) r) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r))) |
(/.f64 (+.f64 (-.f64 (fabs.f64 r) p) (fabs.f64 p)) r) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(fma.f64 (neg.f64 (*.f64 p r)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (neg.f64 r))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
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(-.f64 (fma.f64 (/.f64 (*.f64 q q) (-.f64 p r)) #s(literal 2 binary64) p) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(fma.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)) q q) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) q q) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)))) q q) |
(* q (+ 1 (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64))) q q) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64)))) q q) |
(* 2 q) |
(*.f64 q #s(literal 2 binary64)) |
(* q (+ 2 (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q)))) |
(*.f64 (+.f64 (/.f64 (-.f64 r p) q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (/.f64 (-.f64 r p) q)) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ r q) (/ (* p (pow (sqrt -1) 2)) q)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (-.f64 r p) q))) #s(literal 2 binary64)) q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) q) |
(* -1 q) |
(neg.f64 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64))) q)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q)) (neg.f64 q)) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 r p) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (*.f64 (-.f64 r p) #s(literal 1/2 binary64))) q)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q)) (neg.f64 q)) |
(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 r p) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (* -1/4 (/ (pow (- p r) 2) q)) (* p (pow (sqrt -1) 2)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)) p) r) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (* p (pow (sqrt -1) 2)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 r p) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 385 |
| 0 | 90 | 374 |
| 1 | 400 | 374 |
| 2 | 3378 | 322 |
| 0 | 11873 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(-.f64 p (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) |
(-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) |
(fabs.f64 p) |
(fabs.f64 r) |
(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(neg.f64 p) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64))) (*.f64 (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (+.f64 r r) #s(literal 2 binary64))) (-.f64 (-.f64 p r) r)) |
(/.f64 (-.f64 (*.f64 r r) (pow.f64 (-.f64 r p) #s(literal 2 binary64))) (-.f64 r (-.f64 r p))) |
(/.f64 (-.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 r r) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 r r) p) p))) |
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 r p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (*.f64 r (-.f64 r p))))) |
(/.f64 (neg.f64 (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 r r) p))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64)) (-.f64 (+.f64 r r) p)) |
(/.f64 (+.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (+.f64 r r) #s(literal 2 binary64)) (*.f64 p (+.f64 r r))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) (-.f64 r p)) |
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) (-.f64 r p)) |
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) (-.f64 r p)) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)) (+.f64 r r)) |
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (-.f64 r p)) |
(fma.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)) (+.f64 r r)) |
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (-.f64 r p)) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (+.f64 r r)) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (+.f64 r r)) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (+.f64 r r)) |
(-.f64 (/.f64 (pow.f64 (+.f64 r r) #s(literal 2 binary64)) (-.f64 (+.f64 r r) p)) (/.f64 (*.f64 p p) (-.f64 (+.f64 r r) p))) |
(-.f64 (+.f64 r r) p) |
(+.f64 (/.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 (-.f64 p r) r) (pow.f64 (+.f64 r r) #s(literal 2 binary64))))) |
(+.f64 (-.f64 r p) r) |
(+.f64 p (+.f64 r r)) |
(+.f64 (+.f64 r r) p) |
(+.f64 r (-.f64 r p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (-.f64 p r) r) p) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (-.f64 p r) r) p) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (-.f64 (-.f64 p r) r) p) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 p r) r) p)) |
(/.f64 (*.f64 (-.f64 (*.f64 p p) (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 (+.f64 r r) p) (+.f64 (-.f64 (+.f64 r r) p) p) (*.f64 p p))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 p p) (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64)))) (+.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 r r) p) (+.f64 (-.f64 (+.f64 r r) p) p) (*.f64 p p))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
(*.f64 p #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)) (*.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 r (-.f64 r p) (*.f64 p p)) (*.f64 (fma.f64 r (-.f64 r p) (*.f64 p p)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (-.f64 r p) (*.f64 p p)) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 p p) (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (+.f64 r r) p) p))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (+.f64 r r) p) (+.f64 (-.f64 (+.f64 r r) p) p) (*.f64 p p)))) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64))) (+.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 3 binary64))) (fma.f64 (-.f64 (+.f64 r r) p) (+.f64 (-.f64 (+.f64 r r) p) p) (*.f64 p p))) |
(-.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 r r) p) (+.f64 (-.f64 (+.f64 r r) p) p) (*.f64 p p))) (/.f64 (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 r r) p) (+.f64 (-.f64 (+.f64 r r) p) p) (*.f64 p p)))) |
(-.f64 (/.f64 (*.f64 p p) (+.f64 (-.f64 (+.f64 r r) p) p)) (/.f64 (pow.f64 (hypot.f64 (+.f64 r r) p) #s(literal 2 binary64)) (+.f64 (-.f64 (+.f64 r r) p) p))) |
(-.f64 (-.f64 (-.f64 p r) r) p) |
(-.f64 (-.f64 p r) (-.f64 r p)) |
(-.f64 (-.f64 p p) (+.f64 r r)) |
(-.f64 p (-.f64 (+.f64 r r) p)) |
(*.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 p) (sqrt.f64 p)) |
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) |
(pow.f64 p #s(literal 1 binary64)) |
(neg.f64 p) |
(sqrt.f64 (*.f64 p p)) |
(fabs.f64 p) |
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 p)) |
(+.f64 (cosh.f64 (log.f64 p)) (sinh.f64 (log.f64 p))) |
p |
(*.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r))) |
(*.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r))) |
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r))) |
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 r) (sqrt.f64 r)) |
(pow.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) |
(pow.f64 r #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 r r)) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r)))) |
(fabs.f64 (neg.f64 (neg.f64 r))) |
(fabs.f64 (neg.f64 r)) |
(fabs.f64 r) |
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64))) |
r |
(/.f64 (fma.f64 (-.f64 r p) r (*.f64 p r)) (*.f64 r r)) |
(/.f64 (-.f64 (neg.f64 r) (neg.f64 (-.f64 p p))) (neg.f64 r)) |
(/.f64 (-.f64 (pow.f64 (/.f64 r r) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 p p) r) #s(literal 2 binary64))) (+.f64 (/.f64 r r) (/.f64 (-.f64 p p) r))) |
(/.f64 (-.f64 (pow.f64 (/.f64 r r) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 p p) r) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 r r) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 p p) r) #s(literal 2 binary64)) (*.f64 (/.f64 r r) (/.f64 (-.f64 p p) r))))) |
(/.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 r) p) p)) (neg.f64 (neg.f64 r))) |
(/.f64 (-.f64 (*.f64 r r) (*.f64 (-.f64 p p) r)) (*.f64 r r)) |
(/.f64 (-.f64 (*.f64 r r) (pow.f64 (-.f64 p p) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 r p) p) r)) |
(/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 p p) #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 p p) (-.f64 (-.f64 r p) p) (*.f64 r r)) r)) |
(/.f64 (+.f64 (+.f64 (neg.f64 r) p) p) (neg.f64 r)) |
(/.f64 (-.f64 r (-.f64 p p)) r) |
(neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 r) p) p) r)) |
(neg.f64 (/.f64 (-.f64 r (-.f64 p p)) (neg.f64 r))) |
(-.f64 (/.f64 r r) (/.f64 (-.f64 p p) r)) |
(+.f64 (/.f64 (-.f64 r p) r) (/.f64 p r)) |
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64))) r) (fma.f64 (/.f64 p r) (+.f64 (/.f64 p r) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)))) (+.f64 (/.f64 p r) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)))) (fma.f64 (/.f64 p r) (+.f64 (/.f64 p r) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 p) (sqrt.f64 p)) |
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) |
(pow.f64 p #s(literal 1 binary64)) |
(neg.f64 p) |
(sqrt.f64 (*.f64 p p)) |
(fabs.f64 p) |
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 p)) |
(+.f64 (cosh.f64 (log.f64 p)) (sinh.f64 (log.f64 p))) |
p |
Compiled 25 861 to 2 502 computations (90.3% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 9 | 516 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 510 | 16 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| 48.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))))) | |
| 54.3% | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64))) r r)) | |
| ▶ | 59.1% | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) |
| 54.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r)) | |
| 41.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(approx (/ (- (fabs r) (- p (fabs p))) r) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) | |
| ✓ | 8.9% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
| ✓ | 8.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 1.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 42.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q))) | |
| ▶ | 35.6% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
| ▶ | 14.9% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
| 42.4% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal 1/2 binary64)))) | |
| ▶ | 43.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
| ▶ | 71.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
| 37.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p p) (+.f64 r r))))) | |
| ✓ | 71.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
Compiled 1 192 to 828 computations (30.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) p) r) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) | |
| cost-diff | 3 | (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) | |
| cost-diff | 1 | (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) | |
| cost-diff | 0 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) | |
| cost-diff | 1 | (+.f64 (fabs.f64 r) (fabs.f64 p)) | |
| cost-diff | 0 | (+.f64 r p) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q) | |
| cost-diff | 0 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))) | |
| cost-diff | 0 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p)))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) | |
| cost-diff | 1 | (-.f64 (-.f64 p r) (-.f64 r p)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 420 |
| 0 | 84 | 415 |
| 1 | 187 | 412 |
| 2 | 488 | 408 |
| 3 | 1510 | 382 |
| 4 | 5589 | 381 |
| 0 | 8386 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 p r) (-.f64 r p)) |
(-.f64 p r) |
p |
r |
(-.f64 r p) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q) |
#s(literal 1/2 binary64) |
(+.f64 r p) |
r |
p |
q |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
p |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 r (fabs.f64 r)) |
r |
(fabs.f64 r) |
(fabs.f64 p) |
p |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) p) r) |
(*.f64 #s(literal -2 binary64) p) |
#s(literal -2 binary64) |
p |
r |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (fma.f64 p #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) r)) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (fma.f64 p #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) r)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))) |
(*.f64 (fma.f64 p #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) r)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 p r) (-.f64 r p)) |
(fma.f64 p #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) r)) |
(-.f64 p r) |
p |
r |
(-.f64 r p) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q)) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q) |
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) |
#s(literal 1/2 binary64) |
(+.f64 r p) |
r |
p |
q |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(*.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(-.f64 (fabs.f64 r) p) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
(neg.f64 p) |
p |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) r) p) #s(literal 1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) r) p) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) r) p) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
(-.f64 (+.f64 (fabs.f64 r) r) p) |
(+.f64 r (fabs.f64 r)) |
(+.f64 (fabs.f64 r) r) |
r |
(fabs.f64 r) |
(fabs.f64 p) |
(neg.f64 p) |
p |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 (*.f64 #s(literal -2 binary64) p) r) |
(*.f64 #s(literal -2 binary64) p) |
#s(literal -2 binary64) |
p |
r |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 (*.f64 #s(literal -2 binary64) p) r) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) p) | |
| accuracy | 8.655082941562663 | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) | |
| accuracy | 13.597822142621377 | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) | |
| accuracy | 0.0 | (fabs.f64 r) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 13.597822141340453 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) | |
| accuracy | 25.33618482365937 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (fabs.f64 r) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 13.997939329595479 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| accuracy | 25.15683262305945 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) | |
| accuracy | 0.0 | (+.f64 r p) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q) | |
| accuracy | 22.52100260184475 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q)) | |
| accuracy | 25.15683262305945 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) | |
| accuracy | 0.0 | (-.f64 p r) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))) | |
| accuracy | 0.1911594837239907 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p)))) | |
| accuracy | 13.597822141340453 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
| 140.0ms | 178× | 0 | valid |
| 48.0ms | 77× | 0 | invalid |
| 1.0ms | 1× | 3 | valid |
Compiled 292 to 53 computations (81.8% saved)
ival-mult: 64.0ms (46% of total)ival-add: 28.0ms (20.1% of total)ival-fabs: 16.0ms (11.5% of total)ival-sqrt: 15.0ms (10.8% of total)ival-div: 7.0ms (5% of total)ival-pow2: 5.0ms (3.6% of total)ival-sub: 3.0ms (2.2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (-.f64 p r) (-.f64 r p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q) |
(+.f64 r p) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(/.f64 (*.f64 #s(literal -2 binary64) p) r) |
(-.f64 p r) |
(fabs.f64 p) |
(fabs.f64 r) |
(*.f64 #s(literal -2 binary64) p) |
| Outputs |
|---|
(* -2 r) |
(- (* 2 p) (* 2 r)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
r |
(+ r (* -1 p)) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(+ q (* 1/2 r)) |
(+ q (+ (* 1/2 p) (* 1/2 r))) |
(+ p r) |
(+ (fabs p) (fabs r)) |
(* 1/2 (+ (fabs p) (fabs r))) |
(+ r (+ (fabs p) (fabs r))) |
1 |
(+ 1 (* -1 (/ p r))) |
(* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))) (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* -2 (/ p r)) |
(* -1 r) |
(- p r) |
(fabs p) |
(* -2 p) |
(* 2 p) |
(* p (+ 2 (* -2 (/ r p)))) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
(* -1 p) |
(* p (- (/ r p) 1)) |
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p)))) |
p |
(* p (+ 1 (/ r p))) |
(* -1 (/ p r)) |
(* p (- (/ 1 p) (/ 1 r))) |
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ (+ r (* -1 r)) p)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* -1 (* p (- (* 2 (/ r p)) 2))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ r p)) 1))) |
(* -1 (* p (- (/ 1 r) (/ 1 p)))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p))) p))))) |
(* -1 (* p (- (/ r p) 1))) |
(+ (* -2 r) (* 2 p)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(+ q (* 1/2 p)) |
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) |
(/ (+ r (* -1 p)) r) |
(* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) |
(+ (* 1/2 (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ p (* -1 r)) |
(fabs r) |
(* r (- (* 2 (/ p r)) 2)) |
(* 1/2 r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r)))) |
(* r (+ 1 (/ p r))) |
(* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r)))) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(* r (+ 1 (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* r (- (/ p r) 1)) |
(* -1 (* r (+ 2 (* -2 (/ p r))))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(* -1 (* r (- (/ p r) 1))) |
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ p r)) 1))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1))) |
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))) |
(* 1/2 (+ p (* p (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* 1/2 (+ p r)) |
(+ q (* 1/2 (+ p r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* q (+ 1 (* 1/2 (/ (+ p r) q)))) |
(* q (+ 1 (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))))) |
(* -1 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1))) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | p | @ | 0 | ((- (- p r) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p r) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ r p)) q) (+ r p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (+ (+ r (fabs r)) (fabs p)) 1/2) (+ (* (/ (* -2 p) r) 1/2) 1) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (* -2 p) r) 1/2) 1) r) (/ (* -2 p) r) (- p r) (fabs p) (fabs r) (* -2 p)) |
| 3.0ms | p | @ | inf | ((- (- p r) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p r) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ r p)) q) (+ r p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (+ (+ r (fabs r)) (fabs p)) 1/2) (+ (* (/ (* -2 p) r) 1/2) 1) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (* -2 p) r) 1/2) 1) r) (/ (* -2 p) r) (- p r) (fabs p) (fabs r) (* -2 p)) |
| 3.0ms | r | @ | 0 | ((- (- p r) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p r) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ r p)) q) (+ r p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (+ (+ r (fabs r)) (fabs p)) 1/2) (+ (* (/ (* -2 p) r) 1/2) 1) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (* -2 p) r) 1/2) 1) r) (/ (* -2 p) r) (- p r) (fabs p) (fabs r) (* -2 p)) |
| 3.0ms | p | @ | -inf | ((- (- p r) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p r) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ r p)) q) (+ r p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (+ (+ r (fabs r)) (fabs p)) 1/2) (+ (* (/ (* -2 p) r) 1/2) 1) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (* -2 p) r) 1/2) 1) r) (/ (* -2 p) r) (- p r) (fabs p) (fabs r) (* -2 p)) |
| 3.0ms | r | @ | inf | ((- (- p r) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p r) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ r p)) q) (+ r p) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (+ r (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (+ (+ r (fabs r)) (fabs p)) 1/2) (+ (* (/ (* -2 p) r) 1/2) 1) (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (* -2 p) r) 1/2) 1) r) (/ (* -2 p) r) (- p r) (fabs p) (fabs r) (* -2 p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 500 | 2588 |
| 1 | 1744 | 2296 |
| 2 | 7138 | 2272 |
| 0 | 8066 | 2128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 r) |
(- (* 2 p) (* 2 r)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
r |
(+ r (* -1 p)) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(+ q (* 1/2 r)) |
(+ q (+ (* 1/2 p) (* 1/2 r))) |
(+ p r) |
(+ (fabs p) (fabs r)) |
(* 1/2 (+ (fabs p) (fabs r))) |
(+ r (+ (fabs p) (fabs r))) |
1 |
(+ 1 (* -1 (/ p r))) |
(* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))) (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* -2 (/ p r)) |
(* -1 r) |
(- p r) |
(fabs p) |
(* -2 p) |
(* 2 p) |
(* p (+ 2 (* -2 (/ r p)))) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
(* -1 p) |
(* p (- (/ r p) 1)) |
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p)))) |
p |
(* p (+ 1 (/ r p))) |
(* -1 (/ p r)) |
(* p (- (/ 1 p) (/ 1 r))) |
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ (+ r (* -1 r)) p)))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (* -1 (/ r p)))) |
(* -1 (* p (- (* 2 (/ r p)) 2))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ r p)) 1))) |
(* -1 (* p (- (/ 1 r) (/ 1 p)))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p))) p))))) |
(* -1 (* p (- (/ r p) 1))) |
(+ (* -2 r) (* 2 p)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(+ q (* 1/2 p)) |
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) |
(/ (+ r (* -1 p)) r) |
(* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) |
(+ (* 1/2 (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ p (* -1 r)) |
(fabs r) |
(* r (- (* 2 (/ p r)) 2)) |
(* 1/2 r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r)))) |
(* r (+ 1 (/ p r))) |
(* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r)))) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(* r (+ 1 (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(* r (- (/ p r) 1)) |
(* -1 (* r (+ 2 (* -2 (/ p r))))) |
(* -1/2 r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(* -1 (* r (- (/ p r) 1))) |
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ p r)) 1))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1))) |
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))) |
(* 1/2 (+ p (* p (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* 1/2 (+ p r)) |
(+ q (* 1/2 (+ p r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (/ (pow q 2) (- p r))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* q (+ 1 (* 1/2 (/ (+ p r) q)))) |
(* q (+ 1 (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))))) |
(* -1 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1))) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
| Outputs |
|---|
(* -2 r) |
(*.f64 #s(literal -2 binary64) r) |
(- (* 2 p) (* 2 r)) |
(*.f64 (-.f64 p r) #s(literal 2 binary64)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal -1/2 binary64) r))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal -1/2 binary64) r)) (*.f64 (*.f64 p #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(* 1/2 (+ r (+ (fabs p) (fabs r)))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))) |
r |
(+ r (* -1 p)) |
(-.f64 r p) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q) |
(+ q (* 1/2 r)) |
(fma.f64 #s(literal 1/2 binary64) r q) |
(+ q (+ (* 1/2 p) (* 1/2 r))) |
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) |
(+ p r) |
(+.f64 r p) |
(+ (fabs p) (fabs r)) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(* 1/2 (+ (fabs p) (fabs r))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(+ r (+ (fabs p) (fabs r))) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ p r))) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))) (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)) p (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal -1/2 binary64) r)) #s(literal -1/2 binary64)) p (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (sqrt -1) 2))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal -1/2 binary64) r)) #s(literal -1/2 binary64)) (*.f64 (*.f64 p #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))))) p (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) #s(literal 1/2 binary64))) |
(* -2 (/ p r)) |
(*.f64 (/.f64 p r) #s(literal -2 binary64)) |
(* -1 r) |
(neg.f64 r) |
(- p r) |
(-.f64 p r) |
(fabs p) |
(fabs.f64 p) |
(* -2 p) |
(*.f64 #s(literal -2 binary64) p) |
(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
(* p (+ 2 (* -2 (/ r p)))) |
(*.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 2 binary64)) p) |
(* 1/2 p) |
(*.f64 #s(literal 1/2 binary64) p) |
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q p) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))) p) #s(literal 1/2 binary64)) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 q q) (/.f64 (fma.f64 q (/.f64 q p) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))) p)) #s(literal 1/2 binary64)) p) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) p) |
(* -1 p) |
(neg.f64 p) |
(* p (- (/ r p) 1)) |
(*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p) |
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) r q) p) #s(literal 1/2 binary64)) p) |
p |
(* p (+ 1 (/ r p))) |
(fma.f64 (/.f64 r p) p p) |
(* -1 (/ p r)) |
(/.f64 (neg.f64 p) r) |
(* p (- (/ 1 p) (/ 1 r))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 #s(literal 1 binary64) r)) p) |
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 0 binary64) p) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ (+ r (* -1 r)) p)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) p)) p) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (/ (pow q 2) (pow p 2))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 q (/.f64 q p) #s(literal 0 binary64)) p) #s(literal 0 binary64)) p) |
(* p (+ (* 1/2 (+ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ (+ r (* -1 r)) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 q q) (/.f64 (fma.f64 q (/.f64 q p) #s(literal 0 binary64)) p)) #s(literal 0 binary64)) p) |
(* p (+ 1 (* -1 (/ r p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 r p)) p) |
(* -1 (* p (- (* 2 (/ r p)) 2))) |
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 r p) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) p)) p))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 q q (*.f64 r (*.f64 q (/.f64 q p)))) (neg.f64 p))) p))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))) |
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) r q) (neg.f64 p)) #s(literal 1/2 binary64))) |
(* -1 (* p (- (* -1 (/ r p)) 1))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 (neg.f64 r) p) #s(literal 1 binary64))) |
(* -1 (* p (- (/ 1 r) (/ 1 p)))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (pow q 2) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (*.f64 q (/.f64 q p))) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (/.f64 (fma.f64 q q (*.f64 r (*.f64 q (/.f64 q p)))) p)) p))) |
(* -1 (* p (- (/ r p) 1))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 r p) #s(literal 1 binary64))) |
(+ (* -2 r) (* 2 p)) |
(*.f64 (-.f64 p r) #s(literal 2 binary64)) |
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 r p)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal -1/2 binary64) p))) r (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 (*.f64 r #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))) r (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p) |
(+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r)) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p (*.f64 #s(literal 1/2 binary64) r)) |
(+ q (* 1/2 p)) |
(fma.f64 #s(literal 1/2 binary64) p q) |
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(/ (+ r (* -1 p)) r) |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* r (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1 binary64)) r (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal -1/2 binary64) p)))) r (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* p (pow (sqrt -1) 2)))) (* r (+ (* 1/2 (+ 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 (*.f64 r #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))))))) r (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal 1/2 binary64))) |
(+ p (* -1 r)) |
(-.f64 p r) |
(fabs r) |
(fabs.f64 r) |
(* r (- (* 2 (/ p r)) 2)) |
(*.f64 (-.f64 (*.f64 (/.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) r) |
(* 1/2 r) |
(*.f64 #s(literal 1/2 binary64) r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))) r) #s(literal 1/2 binary64)) r) |
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 q (/.f64 q r)) p (*.f64 q q)) r) r) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) |
(* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r)))) |
(*.f64 (fma.f64 (neg.f64 p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) #s(literal 1/2 binary64)) r) |
(* r (+ 1 (* -1 (/ p r)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r) |
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p q) r) #s(literal 1/2 binary64)) r) |
(* r (+ 1 (/ p r))) |
(fma.f64 (/.f64 p r) r r) |
(* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r)))) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) r r) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r) |
(* r (+ 1 (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 p r) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (/ (pow q 2) (pow r 2))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) p) #s(literal 1/2 binary64) (*.f64 q (/.f64 q r))) r) r r) |
(* r (+ 1 (+ (* 1/2 (/ (+ (* -1 p) (* p (pow (sqrt -1) 2))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 p r) #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 q (/.f64 q r)) p (*.f64 q q)) r) r)) r r) |
(* r (- (/ p r) 1)) |
(*.f64 (-.f64 (/.f64 p r) #s(literal 1 binary64)) r) |
(* -1 (* r (+ 2 (* -2 (/ p r))))) |
(*.f64 (neg.f64 r) (fma.f64 (/.f64 p r) #s(literal -2 binary64) #s(literal 2 binary64))) |
(* -1/2 r) |
(*.f64 #s(literal -1/2 binary64) r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(*.f64 (neg.f64 r) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)) r))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(*.f64 (neg.f64 r) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 q (/.f64 q r)) p (*.f64 q q)) (neg.f64 r))) r))) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(*.f64 (neg.f64 r) (-.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 p r)) #s(literal 1/2 binary64))) |
(* -1 (* r (- (/ p r) 1))) |
(*.f64 (neg.f64 r) (-.f64 (/.f64 p r) #s(literal 1 binary64))) |
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2))) |
(*.f64 (neg.f64 r) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) p (neg.f64 q)) r) #s(literal 1/2 binary64))) |
(* -1 (* r (- (* -1 (/ p r)) 1))) |
(*.f64 (neg.f64 r) (-.f64 (/.f64 (neg.f64 p) r) #s(literal 1 binary64))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1))) |
(*.f64 (neg.f64 r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 r)) #s(literal 1 binary64))) |
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))) |
(*.f64 (neg.f64 r) (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(* 1/2 (+ p (* p (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 0 binary64) p) |
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 0 binary64) p (/.f64 (*.f64 (neg.f64 q) q) r)) |
(+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 0 binary64) p (/.f64 (fma.f64 (*.f64 q (/.f64 q r)) p (*.f64 q q)) (neg.f64 r))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r))) r)) (pow q 2)) r)) (* 1/2 (+ p (* p (pow (sqrt -1) 2))))) |
(fma.f64 #s(literal 0 binary64) p (/.f64 (fma.f64 q q (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 q q) p) p) (pow.f64 q #s(literal 4 binary64)))) r) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 p) q) q)) (neg.f64 r))) (neg.f64 r))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(*.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r))) |
(fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (*.f64 q (/.f64 q (-.f64 p r)))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(fma.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))) |
(* 1/2 (+ p r)) |
(*.f64 (+.f64 r p) #s(literal 1/2 binary64)) |
(+ q (* 1/2 (+ p r))) |
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (/ (pow q 2) (- p r))) |
(fma.f64 q (/.f64 q (-.f64 p r)) (*.f64 #s(literal 0 binary64) p)) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r))))) |
(fma.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 #s(literal 0 binary64) p)) |
(+ (* 1/2 (+ p (* p (pow (sqrt -1) 2)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 #s(literal 0 binary64) p)) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q) q q) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)) q q) |
(* q (+ 1 (* 1/2 (/ (+ p r) q)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* q (+ 1 (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q))) q) q q) |
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q)))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q))) q)) q q) |
(* -1 q) |
(neg.f64 q) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) q q)) |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (* p (pow (sqrt -1) 2))) q))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 r p) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (*.f64 (-.f64 r p) #s(literal 1/2 binary64))) q)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ r (* p (pow (sqrt -1) 2))))) q))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) q q)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 391 |
| 0 | 84 | 384 |
| 1 | 378 | 381 |
| 2 | 3220 | 336 |
| 0 | 13574 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 p r) (-.f64 r p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q)) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q) |
(+.f64 r p) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) |
(/.f64 (*.f64 #s(literal -2 binary64) p) r) |
(-.f64 p r) |
(fabs.f64 p) |
(fabs.f64 r) |
(*.f64 #s(literal -2 binary64) p) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (neg.f64 r) p)) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 2 binary64))) (+.f64 p (-.f64 (+.f64 r r) p))) |
(/.f64 (-.f64 (pow.f64 (-.f64 p (+.f64 r r)) #s(literal 2 binary64)) (*.f64 p p)) (-.f64 (-.f64 p (+.f64 r r)) p)) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 3 binary64))) (fma.f64 p p (+.f64 (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 2 binary64)) (*.f64 p (-.f64 (+.f64 r r) p))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 p r)) |
(/.f64 (+.f64 (pow.f64 (-.f64 p (+.f64 r r)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 p (+.f64 r r)) #s(literal 2 binary64)) (-.f64 (*.f64 p p) (*.f64 (-.f64 p (+.f64 r r)) p)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (+.f64 r r) p) p))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 p r) (-.f64 (-.f64 (+.f64 r r) p) p) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (-.f64 p r) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r)) (*.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (-.f64 p r) (*.f64 r r))) (*.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (fma.f64 (-.f64 p r) (-.f64 (-.f64 (+.f64 r r) p) p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)) (-.f64 p (+.f64 r r))) |
(fma.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)) (-.f64 p (+.f64 r r))) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (-.f64 p (+.f64 r r))) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (-.f64 p (+.f64 r r))) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 p (+.f64 r r))) |
(-.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 r r) p) p)) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 r r) p) p))) |
(-.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (fma.f64 (-.f64 p r) (-.f64 (-.f64 (+.f64 r r) p) p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (fma.f64 (-.f64 p r) (-.f64 (-.f64 (+.f64 r r) p) p) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(-.f64 p (-.f64 (+.f64 r r) p)) |
(-.f64 (-.f64 p r) (-.f64 p r)) |
(+.f64 (-.f64 p (+.f64 r r)) p) |
(+.f64 p (-.f64 p (+.f64 r r))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (-.f64 (+.f64 r r) p))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (-.f64 (+.f64 r r) p)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (-.f64 (+.f64 r r) p))) |
(*.f64 (-.f64 p (-.f64 (+.f64 r r) p)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 p r) (-.f64 (-.f64 (+.f64 r r) p) p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (-.f64 (-.f64 (+.f64 r r) p) p)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (fma.f64 (-.f64 p r) (-.f64 (-.f64 (+.f64 r r) p) p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 p (+.f64 r r)) #s(literal -1/2 binary64) (*.f64 p #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 r r)) (*.f64 #s(literal -1/2 binary64) p)) |
(+.f64 (*.f64 (-.f64 p (+.f64 r r)) #s(literal -1/2 binary64)) (*.f64 p #s(literal -1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 r r))) (*.f64 #s(literal -1/2 binary64) p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 p r) #s(literal 1/2 binary64) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 p r) #s(literal 1/2 binary64) q)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))) (pow.f64 q #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 q q) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 q) q))) (neg.f64 (-.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)) q))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 q #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 q) q)) (-.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)) q)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 q #s(literal 3 binary64))) (fma.f64 q q (-.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)) q)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 q #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 q)) (neg.f64 (sqrt.f64 q)) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 (sqrt.f64 q)) (fabs.f64 (sqrt.f64 q)) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (sqrt.f64 q) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 q) #s(literal 1 binary64)) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 p r) #s(literal 1/2 binary64) q) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 p r) q) |
(fma.f64 #s(literal 1/2 binary64) r (fma.f64 p #s(literal 1/2 binary64) q)) |
(fma.f64 r #s(literal 1/2 binary64) (fma.f64 p #s(literal 1/2 binary64) q)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)) q)) (/.f64 (*.f64 q q) (-.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)) q))) |
(-.f64 q (*.f64 (+.f64 (neg.f64 r) p) #s(literal 1/2 binary64))) |
(-.f64 q (*.f64 #s(literal -1/2 binary64) (-.f64 p r))) |
(+.f64 (+.f64 q (*.f64 #s(literal 1/2 binary64) r)) (*.f64 p #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 q #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 q (-.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) r) (fma.f64 p #s(literal 1/2 binary64) q)) |
(+.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)) q) |
(+.f64 q (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 p r))) (neg.f64 (sqrt.f64 (-.f64 p r)))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (-.f64 p r)) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 p r))) (fabs.f64 (sqrt.f64 (-.f64 p r)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 p r)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 p r)) |
(*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p (-.f64 p r) (*.f64 r r))) |
(*.f64 (sqrt.f64 (-.f64 p r)) (sqrt.f64 (-.f64 p r))) |
(pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 p r) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r))) (*.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)) (*.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 p (-.f64 p r) (*.f64 r r))))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 p p (*.f64 r (-.f64 p r)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fabs.f64 (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fabs.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 p p (*.f64 r (-.f64 p r)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (neg.f64 r) p)) |
(/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 p r)) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (-.f64 p r) (*.f64 r r))) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p p (*.f64 r (-.f64 p r)))) |
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) p) |
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) p) |
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) p) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)) r) |
(fma.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)) r) |
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) p) |
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) r) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) r) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) r) |
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(-.f64 (/.f64 (*.f64 p p) (-.f64 p r)) (/.f64 (*.f64 r r) (-.f64 p r))) |
(-.f64 (/.f64 (*.f64 r r) (-.f64 p r)) (/.f64 (*.f64 p p) (-.f64 p r))) |
(-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(-.f64 p r) |
(-.f64 r p) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))))) |
(fabs.f64 (+.f64 (neg.f64 r) p)) |
(fabs.f64 (-.f64 p r)) |
(hypot.f64 (neg.f64 (neg.f64 r)) (pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 r)) p) |
(hypot.f64 (neg.f64 r) (pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(hypot.f64 (neg.f64 r) p) |
(hypot.f64 r (pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(hypot.f64 r p) |
(exp.f64 (log.f64 (-.f64 p r))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 p r))) (sinh.f64 (log.f64 (-.f64 p r)))) |
(+.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(+.f64 p r) |
(+.f64 r p) |
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(-.f64 (/.f64 (*.f64 p p) (-.f64 p r)) (/.f64 (*.f64 r r) (-.f64 p r))) |
(-.f64 (/.f64 (*.f64 r r) (-.f64 p r)) (/.f64 (*.f64 p p) (-.f64 p r))) |
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(-.f64 p r) |
(-.f64 r p) |
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(+.f64 p r) |
(+.f64 r p) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 p r)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p (-.f64 p r) (*.f64 r r))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p p (*.f64 r (-.f64 p r)))) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) (sqrt.f64 p) (*.f64 #s(literal 1/2 binary64) r)) |
(fma.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) r)) |
(fma.f64 p #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) r)) |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) r)) |
(fma.f64 #s(literal 1/2 binary64) r (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 r #s(literal 1/2 binary64) (*.f64 p #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) r) (*.f64 #s(literal -1/2 binary64) p)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) r) (*.f64 p #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) p) (*.f64 #s(literal 1/2 binary64) r))) |
(fabs.f64 (-.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) r))) |
(fabs.f64 (neg.f64 (*.f64 (-.f64 p r) #s(literal 1/2 binary64)))) |
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(/.f64 (-.f64 (*.f64 r r) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 r (-.f64 p r))) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (+.f64 r r) #s(literal 2 binary64))) (-.f64 p (+.f64 r r))) |
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(/.f64 (pow.f64 (-.f64 (+.f64 r r) p) #s(literal 2 binary64)) (-.f64 (+.f64 r r) p)) |
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(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (+.f64 r r) #s(literal 3 binary64))) (fma.f64 p (-.f64 p (+.f64 r r)) (pow.f64 (+.f64 r r) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 p r))) (neg.f64 (sqrt.f64 (-.f64 p r))) r) |
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) (-.f64 p r)) |
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(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 p r))) (fabs.f64 (sqrt.f64 (-.f64 p r))) r) |
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) (-.f64 p r)) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)) (+.f64 r r)) |
(fma.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)) (+.f64 r r)) |
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (-.f64 p r)) |
(fma.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 p r) r) |
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(fma.f64 (pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 1 binary64)) r) |
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(fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p (-.f64 p r) (*.f64 r r)) r) |
(fma.f64 (sqrt.f64 (-.f64 p r)) (sqrt.f64 (-.f64 p r)) r) |
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (-.f64 p r)) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (+.f64 r r)) |
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(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (+.f64 r r)) |
(-.f64 (/.f64 (pow.f64 (+.f64 r r) #s(literal 2 binary64)) (-.f64 (+.f64 r r) p)) (/.f64 (*.f64 p p) (-.f64 (+.f64 r r) p))) |
(-.f64 (+.f64 r r) p) |
(+.f64 (/.f64 (pow.f64 (+.f64 r r) #s(literal 3 binary64)) (fma.f64 p (-.f64 p (+.f64 r r)) (pow.f64 (+.f64 r r) #s(literal 2 binary64)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p (+.f64 r r)) (pow.f64 (+.f64 r r) #s(literal 2 binary64))))) |
(+.f64 (+.f64 r r) p) |
(+.f64 p (+.f64 r r)) |
(+.f64 (-.f64 p r) r) |
(+.f64 r (-.f64 p r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (+.f64 r r) p) #s(literal 1/2 binary64)))) |
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(*.f64 (-.f64 (+.f64 r r) p) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 r r) p)) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) (sqrt.f64 p) (*.f64 #s(literal 1/2 binary64) (+.f64 r r))) |
(fma.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) #s(literal 1/2 binary64)) (*.f64 (+.f64 r r) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 r r))) |
(fma.f64 (+.f64 r r) #s(literal 1/2 binary64) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 p #s(literal 1/2 binary64) (*.f64 (+.f64 r r) #s(literal 1/2 binary64))) |
(fma.f64 p #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 r r))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 r r) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 (+.f64 r r) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r r))) |
(fma.f64 #s(literal 1/2 binary64) r (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(fma.f64 r #s(literal 1/2 binary64) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (+.f64 r r) #s(literal 1/2 binary64)) (*.f64 p #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 r r)) (*.f64 p #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) r) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 (+.f64 r r) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 r r))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 p r))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 p r))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) p) (/.f64 #s(literal 1/2 binary64) r) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) p) r))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))) |
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)) r)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)) r) |
(*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) r) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal 1 binary64)) r) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) r (*.f64 #s(literal 1 binary64) r)) |
(fma.f64 #s(literal 1 binary64) r (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) r)) |
(fma.f64 r (*.f64 #s(literal -1 binary64) (/.f64 p r)) (*.f64 r #s(literal 1 binary64))) |
(fma.f64 r #s(literal 1 binary64) (*.f64 r (*.f64 #s(literal -1 binary64) (/.f64 p r)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) r) (*.f64 #s(literal 1 binary64) r)) |
(+.f64 (*.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 p r)) r)) |
(+.f64 (*.f64 r (*.f64 #s(literal -1 binary64) (/.f64 p r))) (*.f64 r #s(literal 1 binary64))) |
(+.f64 (*.f64 r #s(literal 1 binary64)) (*.f64 r (*.f64 #s(literal -1 binary64) (/.f64 p r)))) |
(*.f64 (/.f64 p r) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 p r)) |
(*.f64 p (/.f64 #s(literal -2 binary64) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) p) (neg.f64 (neg.f64 r))) |
(/.f64 (*.f64 #s(literal -2 binary64) p) (neg.f64 r)) |
(/.f64 (*.f64 #s(literal -2 binary64) p) r) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 p r))) (neg.f64 (sqrt.f64 (-.f64 p r)))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (-.f64 p r)) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 p r))) (fabs.f64 (sqrt.f64 (-.f64 p r)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 p r)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 p r)) |
(*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p (-.f64 p r) (*.f64 r r))) |
(*.f64 (sqrt.f64 (-.f64 p r)) (sqrt.f64 (-.f64 p r))) |
(pow.f64 (sqrt.f64 (-.f64 p r)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 p r) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r))) (*.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 p p (*.f64 r (-.f64 p r))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)) (*.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 p (-.f64 p r) (*.f64 r r))))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 p p (*.f64 r (-.f64 p r)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fabs.f64 (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fabs.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 p p (*.f64 r (-.f64 p r)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (neg.f64 r) p)) |
(/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 p r)) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (-.f64 p r) (*.f64 r r))) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p p (*.f64 r (-.f64 p r)))) |
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) p) |
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) p) |
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) p) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)) r) |
(fma.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)) r) |
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) p) |
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) r) |
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) r) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) r) |
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(-.f64 (/.f64 (*.f64 p p) (-.f64 p r)) (/.f64 (*.f64 r r) (-.f64 p r))) |
(-.f64 (/.f64 (*.f64 r r) (-.f64 p r)) (/.f64 (*.f64 p p) (-.f64 p r))) |
(-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(-.f64 p r) |
(-.f64 r p) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))))) |
(fabs.f64 (+.f64 (neg.f64 r) p)) |
(fabs.f64 (-.f64 p r)) |
(hypot.f64 (neg.f64 (neg.f64 r)) (pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 r)) p) |
(hypot.f64 (neg.f64 r) (pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(hypot.f64 (neg.f64 r) p) |
(hypot.f64 r (pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(hypot.f64 r p) |
(exp.f64 (log.f64 (-.f64 p r))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 p r))) (sinh.f64 (log.f64 (-.f64 p r)))) |
(+.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p p (*.f64 r (-.f64 p r))))) |
(+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p r) (*.f64 r r)))) |
(+.f64 p r) |
(+.f64 r p) |
(*.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 p) (sqrt.f64 p)) |
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) |
(pow.f64 p #s(literal 1 binary64)) |
(neg.f64 p) |
(sqrt.f64 (*.f64 p p)) |
(fabs.f64 p) |
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 p)) |
(+.f64 (cosh.f64 (log.f64 p)) (sinh.f64 (log.f64 p))) |
p |
(*.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r))) |
(*.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r))) |
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r))) |
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 r) (sqrt.f64 r)) |
(pow.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) |
(pow.f64 r #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 r r)) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r)))) |
(fabs.f64 (neg.f64 (neg.f64 r))) |
(fabs.f64 (neg.f64 r)) |
(fabs.f64 r) |
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64))) |
r |
(*.f64 #s(literal -2 binary64) p) |
(*.f64 p #s(literal -2 binary64)) |
(*.f64 p #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) p) |
(neg.f64 (*.f64 #s(literal -2 binary64) p)) |
Compiled 23 645 to 2 116 computations (91.1% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 449 | 9 | 458 |
| Fresh | 5 | 2 | 7 |
| Picked | 5 | 0 | 5 |
| Done | 3 | 1 | 4 |
| Total | 462 | 12 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) p) #s(literal 1/2 binary64) (*.f64 q (/.f64 q r))) r) r r)) | |
| 36.3% | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))) r)) | |
| 59.5% | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (*.f64 q (/.f64 q p))) p)))) | |
| 37.6% | #s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (* -2 p) r) 1/2) 1) #s(literal 1 binary64)) r)) | |
| 54.7% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r)) | |
| 54.6% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))) r) #s(literal 1/2 binary64)) r)) | |
| ✓ | 1.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 42.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q))) | |
| 37.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q)))) | |
| 36.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r r) p) #s(literal 1/2 binary64)))) | |
| 71.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) | |
| 36.3% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
Compiled 1 844 to 563 computations (69.5% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (* -2 p) r) 1/2) 1) #s(literal 1 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r r) p) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p p) (+.f64 r r))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q))) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))) r)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(approx (/ (- (fabs r) (- p (fabs p))) r) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (*.f64 q (/.f64 q p))) p)))) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) p) #s(literal 1/2 binary64) (*.f64 q (/.f64 q r))) r) r r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))) r) #s(literal 1/2 binary64)) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))))) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) r) #s(literal 1/2 binary64))) r r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q))) |
7 calls:
| 22.0ms | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 12.0ms | r |
| 9.0ms | p |
| 9.0ms | q |
| 9.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 3 | p |
| 77.0% | 4 | r |
| 82.9% | 2 | q |
| 81.8% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 81.8% | 2 | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 82.9% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 82.9% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 51 to 54 computations (-5.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (* -2 p) r) 1/2) 1) #s(literal 1 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r r) p) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p p) (+.f64 r r))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p r) (-.f64 r p))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q))) |
3 calls:
| 36.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 5.0ms | q |
| 5.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 2 | q |
| 82.8% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 82.8% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (* -2 p) r) 1/2) 1) #s(literal 1 binary64)) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r p) q))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
3 calls:
| 29.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 3.0ms | q |
| 3.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 2 | q |
| 82.0% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 82.0% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) |
#s(approx (* (/ 1 2) (+ (+ (* (sqrt (neg p)) (sqrt (neg p))) r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (* -2 p) r) 1/2) 1) #s(literal 1 binary64)) r)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
7 calls:
| 13.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 8.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 3.0ms | p |
| 3.0ms | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 2.0ms | q |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 1 | r |
| 71.3% | 1 | p |
| 71.3% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 71.3% | 1 | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 71.3% | 1 | q |
| 71.3% | 1 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 71.3% | 1 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 51 to 54 computations (-5.9% saved)
Total -22.4b remaining (-55%)
Threshold costs -22.4b (-55%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
7 calls:
| 19.0ms | p |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 1.0ms | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 1.0ms | q |
| 1.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.3% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 36.3% | 1 | (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 36.3% | 1 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 36.3% | 1 | (pow.f64 q #s(literal 2 binary64)) |
| 36.3% | 1 | p |
| 36.3% | 1 | q |
| 36.3% | 1 | r |
Compiled 51 to 54 computations (-5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.496106938368914e+188 | 9.131076229953669e+188 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.496106938368914e+188 | 9.131076229953669e+188 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.496106938368914e+188 | 9.131076229953669e+188 |
Compiled 25 to 25 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 399 |
| 1 | 147 | 399 |
| 2 | 362 | 399 |
| 3 | 1047 | 399 |
| 4 | 3108 | 385 |
| 5 | 7936 | 385 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 800000000000000018474473042158297239143870579881359420344451662523873751743566151092609437494360608888625908350606859357279352090508698805500823773322952148569625145157308519007173335842816 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q)))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 800000000000000018474473042158297239143870579881359420344451662523873751743566151092609437494360608888625908350606859357279352090508698805500823773322952148569625145157308519007173335842816 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q)))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 800000000000000018474473042158297239143870579881359420344451662523873751743566151092609437494360608888625908350606859357279352090508698805500823773322952148569625145157308519007173335842816 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
| Outputs |
|---|
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 800000000000000018474473042158297239143870579881359420344451662523873751743566151092609437494360608888625908350606859357279352090508698805500823773322952148569625145157308519007173335842816 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q)))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 800000000000000018474473042158297239143870579881359420344451662523873751743566151092609437494360608888625908350606859357279352090508698805500823773322952148569625145157308519007173335842816 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) q)))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 800000000000000018474473042158297239143870579881359420344451662523873751743566151092609437494360608888625908350606859357279352090508698805500823773322952148569625145157308519007173335842816 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* 1/2 (+ r p)) q) (fma.f64 #s(literal 1/2 binary64) r q))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (-.f64 r p)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- (- p r) (- r p))) (neg.f64 p)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 385 |
| 0 | 90 | 374 |
| 1 | 400 | 374 |
| 2 | 3378 | 322 |
| 0 | 11873 | 311 |
| 0 | 565 | 3204 |
| 1 | 2056 | 3001 |
| 0 | 8535 | 2809 |
| 0 | 576 | 3228 |
| 1 | 2113 | 3014 |
| 0 | 8685 | 2798 |
| 0 | 500 | 2588 |
| 1 | 1744 | 2296 |
| 2 | 7138 | 2272 |
| 0 | 8066 | 2128 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 571 to 235 computations (58.8% saved)
Compiled 1 274 to 380 computations (70.2% saved)
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