
Time bar (total: 6.6s)
| 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)
| 1.1s | 8 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
ival-pow2: 197.0ms (22.5% of total)ival-add: 194.0ms (22.1% of total)ival-div: 187.0ms (21.3% of total)ival-mult: 107.0ms (12.2% of total)ival-fabs: 76.0ms (8.7% of total)ival-sqrt: 55.0ms (6.3% of total)ival-sub: 39.0ms (4.4% of total)exact: 12.0ms (1.4% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 150 | 0 | - | 1 | (-4.726729522251388e-249 3.1551746555087104e-280 1.6782796682340815e-162) | (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 | - | (*.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 | 146 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | overflow | 146 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | overflow | 59 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | overflow | 118 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | overflow | 60 | |
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 | 3 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | underflow | 3 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | underflow | 58 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | underflow | 10 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | underflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 149 | 1 |
| - | 0 | 106 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 149 | 0 | 1 |
| - | 0 | 0 | 106 |
| number | freq |
|---|---|
| 0 | 107 |
| 1 | 149 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 512× | 0 | valid |
Compiled 220 to 58 computations (73.6% saved)
ival-pow2: 10.0ms (26.1% of total)ival-add: 7.0ms (18.3% of total)ival-mult: 6.0ms (15.7% of total)ival-fabs: 5.0ms (13% of total)ival-sqrt: 4.0ms (10.4% of total)ival-div: 3.0ms (7.8% of total)ival-sub: 3.0ms (7.8% of total)ival-true: 1.0ms (2.6% of total)exact: 1.0ms (2.6% 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 |
|---|---|---|
| ▶ | 45.8% | (*.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 | 0.0078125 | (+.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 | 0.01171875 | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | |
| accuracy | 0.020195019536884032 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | |
| accuracy | 34.68324128997887 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 38.0ms | 256× | 0 | valid |
Compiled 99 to 20 computations (79.8% saved)
ival-mult: 6.0ms (27.2% of total)ival-pow2: 5.0ms (22.6% of total)ival-add: 4.0ms (18.1% of total)ival-div: 2.0ms (9.1% of total)ival-fabs: 2.0ms (9.1% of total)ival-sqrt: 2.0ms (9.1% of total)ival-sub: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #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))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
(pow.f64 (-.f64 p r) #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 | |
|---|---|---|---|---|
| 12.0ms | 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)))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 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)))) (* 4 (pow q 2)) (pow (- p r) 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)))) (* 4 (pow q 2)) (pow (- p r) 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)))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 2.0ms | r | @ | 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)))) (* 4 (pow q 2)) (pow (- p r) 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))))))) |
(*.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))))))))) |
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(*.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))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
(pow.f64 (-.f64 p r) #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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(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (sinh.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 (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 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.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 (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 (neg.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 p r))) (neg.f64 (+.f64 r p))) |
(/.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))))) |
Compiled 18 558 to 2 036 computations (89% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 384 | 10 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 385 | 10 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| 43.8% | (*.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 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q))) | |
| 35.8% | (*.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))) | |
| ▶ | 43.8% | #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)) |
| 55.2% | #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)) | |
| 52.6% | #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)) | |
| ▶ | 36.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) |
| ▶ | 58.4% | #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)) |
| 8.4% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) | |
| ▶ | 1.2% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
Compiled 662 to 500 computations (24.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) | |
| cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) | |
| cost-diff | 0 | (*.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)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) | |
| 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 | 330 |
| 0 | 69 | 330 |
| 1 | 143 | 330 |
| 2 | 366 | 330 |
| 3 | 1089 | 330 |
| 4 | 3052 | 320 |
| 0 | 8468 | 311 |
| 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 |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) |
(*.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)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
(fabs.f64 r) |
r |
(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)))))) (*.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 |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) |
(*.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)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
(fabs.f64 r) |
r |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) | |
| accuracy | 0.01171875 | (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) | |
| accuracy | 17.86846411745365 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) | |
| accuracy | 28.883105481642787 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) | |
| accuracy | 12.170234026609009 | (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) | |
| accuracy | 34.406213713296424 | #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 | 58.30799410305586 | #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 | 63.24270911333816 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) | |
| accuracy | 0.21417525179594424 | (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 7.82811339659247 | (*.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 | 20.722380519508974 | #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)))) |
| 120.0ms | 256× | 0 | valid |
Compiled 296 to 44 computations (85.1% saved)
ival-mult: 63.0ms (62.2% of total)ival-add: 12.0ms (11.8% of total)ival-fabs: 9.0ms (8.9% of total)ival-div: 5.0ms (4.9% of total)ival-pow2: 5.0ms (4.9% of total)ival-sqrt: 3.0ms (3% of total)ival-neg: 2.0ms (2% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% 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) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) |
(*.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)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
| 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) |
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) |
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q))))) |
(+ (fabs p) (+ (fabs r) (* 2 q))) |
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))) |
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))) |
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))) |
(+ (fabs r) (* 2 q)) |
(+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))) |
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) |
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) |
(/ (+ r (+ (fabs p) (fabs r))) p) |
(fabs p) |
(* 2 q) |
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(* 4 (pow q 2)) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(* -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 (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(* p (+ 1 (/ (fabs r) p))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p)))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))) |
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))) |
(pow p 2) |
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow 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 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))) |
(+ (* -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 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(/ (+ (fabs p) (fabs r)) p) |
(+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) |
(* 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 p) |
(* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) |
(* -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 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p)))) |
(* 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) |
(* 1/2 (+ p (+ (fabs p) (fabs r)))) |
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p)) |
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p)))) |
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p)))) |
(+ p (+ (fabs p) (fabs r))) |
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p))))) |
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))) |
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))) |
(+ p (fabs r)) |
(+ p (+ (fabs r) (* 2 (/ (pow q 2) p)))) |
(+ p (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) |
(+ p (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) |
(+ p (* 2 (/ (pow q 2) p))) |
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))) |
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))) |
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 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(* q (+ 2 (/ (fabs r) q))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q))))) |
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* (pow q 2) (+ 4 (/ (pow p 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))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 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 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (fabs r) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1/4 (/ (pow p 2) q))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 5.0ms | 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) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 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) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 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) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 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) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 3046 |
| 1 | 2190 | 2944 |
| 0 | 8582 | 2750 |
| 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) |
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) |
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q))))) |
(+ (fabs p) (+ (fabs r) (* 2 q))) |
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))) |
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))) |
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))) |
(+ (fabs r) (* 2 q)) |
(+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))) |
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) |
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) |
(/ (+ r (+ (fabs p) (fabs r))) p) |
(fabs p) |
(* 2 q) |
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(* 4 (pow q 2)) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(* -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 (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(* p (+ 1 (/ (fabs r) p))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p)))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))) |
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))) |
(pow p 2) |
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow 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 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))) |
(+ (* -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 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(/ (+ (fabs p) (fabs r)) p) |
(+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) |
(* 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 p) |
(* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) |
(* -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 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p)))) |
(* 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) |
(* 1/2 (+ p (+ (fabs p) (fabs r)))) |
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p)) |
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p)))) |
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p)))) |
(+ p (+ (fabs p) (fabs r))) |
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p))))) |
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))) |
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))) |
(+ p (fabs r)) |
(+ p (+ (fabs r) (* 2 (/ (pow q 2) p)))) |
(+ p (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) |
(+ p (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) |
(+ p (* 2 (/ (pow q 2) p))) |
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))) |
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))) |
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 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))) |
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))) |
(* q (+ 2 (/ (fabs r) q))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q)))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q))))) |
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* (pow q 2) (+ 4 (/ (pow p 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))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 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 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (fabs r) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1/4 (/ (pow p 2) q))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 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) |
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) |
(*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))) |
(fma.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 p p) q) #s(literal 1/8 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) q)) (*.f64 p p) (*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 1/1024 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/8 binary64) q)) (*.f64 p p) (*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(+ (fabs p) (+ (fabs r) (* 2 q))) |
(+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 r)) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (fma.f64 q #s(literal 2 binary64) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs r) (* 2 q)) |
(fma.f64 q #s(literal 2 binary64) (fabs.f64 r)) |
(+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))) |
(fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (fma.f64 q #s(literal 2 binary64) (fabs.f64 r))) |
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) |
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) (fabs.f64 r))) |
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) (fabs.f64 r))) |
(/ (+ r (+ (fabs p) (fabs r))) p) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(fabs p) |
(fabs.f64 p) |
(* 2 q) |
(*.f64 q #s(literal 2 binary64)) |
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q)) |
(fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (*.f64 q #s(literal 2 binary64))) |
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (*.f64 q #s(literal 2 binary64))) |
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (*.f64 q #s(literal 2 binary64))) |
(* 4 (pow q 2)) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) (/.f64 q 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 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #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)))))) #s(literal 1/2 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 (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.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)) p)) (/ (pow q 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p) |
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) p) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) p p) |
(* p (+ 1 (+ (* 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) (fabs.f64 p)) p)) p p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) p p) |
(* p (+ 1 (/ (fabs r) p))) |
(fma.f64 (/.f64 (fabs.f64 r) p) p p) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (/.f64 (fabs.f64 r) p)) p p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (/.f64 (fabs.f64 r) p)) p p) |
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))) |
(fma.f64 (*.f64 p #s(literal 2 binary64)) (*.f64 (/.f64 q p) (/.f64 q p)) p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) #s(literal 1 binary64)) p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (fma.f64 (/.f64 (pow.f64 q #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal 1 binary64))) p) |
(pow p 2) |
(*.f64 p p) |
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (*.f64 q q) p) #s(literal 1 binary64)) (*.f64 p 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 (+ 1/2 (* -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 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 (neg.f64 q) q) p)) p))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 q q (/.f64 (neg.f64 (pow.f64 q #s(literal 4 binary64))) (*.f64 p p))) (neg.f64 p))) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p))))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p))))) |
(neg.f64 (fma.f64 (neg.f64 p) (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) p) p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (*.f64 p p)) (*.f64 q q))) p)) p))) |
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs 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) (fabs.f64 r)) p))) |
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p))) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 r) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (*.f64 p p)) (*.f64 q q))) p)) p))) |
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) #s(literal 1 binary64))) |
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(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2)))) |
(*.f64 (fma.f64 (/.f64 p q) (/.f64 p q) #s(literal 4 binary64)) (*.f64 q 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)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 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 #s(literal -1/8 binary64) (/.f64 (*.f64 p p) q))) (neg.f64 q)) q q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 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 1/8 binary64) p) p (*.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) (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 2) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p p) 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 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) p (*.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) q)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (fabs r) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 r) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1/4 (/ (pow p 2) q))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p p) q) (fabs.f64 r)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fabs.f64 r) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) p (*.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) q)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64))) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #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 | 282 |
| 0 | 69 | 282 |
| 1 | 301 | 282 |
| 2 | 2388 | 247 |
| 0 | 9040 | 242 |
| 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) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))) |
(*.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)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) |
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) 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 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)) 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)) 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 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 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 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) p)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 p (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p) (*.f64 #s(literal 1/2 binary64) 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 p #s(literal -1/2 binary64)) (/.f64 (+.f64 p (+.f64 r r)) p) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 (*.f64 p (/.f64 (+.f64 p (+.f64 r r)) p)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 p (+.f64 r r)) p) p) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) (*.f64 #s(literal -1/2 binary64) p) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 p (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 p #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p) (*.f64 #s(literal -1/2 binary64) p)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p) (*.f64 #s(literal 1/2 binary64) p)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) p) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p)) p) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64)) p)) |
(*.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p))) |
(*.f64 (sqrt.f64 p) (sqrt.f64 p)) |
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) |
(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 p #s(literal 1 binary64)) |
(neg.f64 p) |
(sqrt.f64 (*.f64 p p)) |
(fabs.f64 p) |
(exp.f64 (/.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64))) |
p |
(/.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))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal 1/2 binary64))) |
(/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 r r)) p))) |
(+.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)) |
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(/.f64 (fma.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 p #s(literal 8 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 p #s(literal 12 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (-.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (pow.f64 p #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (neg.f64 q))) q (*.f64 p p)) |
(fma.f64 (fabs.f64 (*.f64 q #s(literal 4 binary64))) q (*.f64 p p)) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) (sqrt.f64 p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q) (*.f64 p p)) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 p p)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(fma.f64 (neg.f64 q) (*.f64 (neg.f64 q) #s(literal 4 binary64)) (*.f64 p p)) |
(fma.f64 q (fabs.f64 (*.f64 (neg.f64 q) #s(literal 4 binary64))) (*.f64 p p)) |
(fma.f64 q (fabs.f64 (*.f64 q #s(literal 4 binary64))) (*.f64 p p)) |
(fma.f64 q (*.f64 q #s(literal 4 binary64)) (*.f64 p p)) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 p p)) |
(fma.f64 p p (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 p p)) |
(-.f64 (*.f64 p p) (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64))) |
(-.f64 (*.f64 p p) (*.f64 (neg.f64 q) (*.f64 q #s(literal 4 binary64)))) |
(-.f64 (*.f64 p p) (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
(fabs.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (*.f64 p p)) |
(hypot.f64 (neg.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64))) (*.f64 p p)) |
(hypot.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 p p)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) (/.f64 (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 p p)) |
(+.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
Compiled 23 834 to 2 403 computations (89.9% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 10 | 453 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 449 | 14 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| 38.5% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (*.f64 (/.f64 (+.f64 p r) q) q) #s(literal 1/2 binary64)))) | |
| 52.4% | #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) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)) | |
| ▶ | 36.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) |
| ✓ | 58.4% | #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)))) |
| ▶ | 26.5% | #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 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| 43.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)) #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)) |
| ▶ | 8.4% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 1.2% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| ▶ | 46.2% | #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))) |
| 14.4% | #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))))) | |
| 40.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) | |
| 41.5% | #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)))) | |
| ▶ | 67.6% | #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 1 063 to 754 computations (29.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) | |
| cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 1 | (+.f64 p (+.f64 r r)) | |
| cost-diff | 2 | (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 5 | (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (+.f64 (fabs.f64 r) (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 | 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 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 416 |
| 0 | 87 | 416 |
| 1 | 192 | 416 |
| 2 | 504 | 407 |
| 3 | 1424 | 388 |
| 4 | 4473 | 386 |
| 0 | 8323 | 377 |
| 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 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 p (+.f64 r r)) p) |
(+.f64 p (+.f64 r r)) |
(+.f64 r r) |
r |
#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 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
r |
(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)) (*.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 (fabs.f64 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 (fabs.f64 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 (fabs.f64 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 (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(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 p) (fabs.f64 r)) #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 p) (fabs.f64 r)) #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 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(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 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) 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 (/.f64 r p) p)) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 r p) p) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 r) p) |
(/.f64 (+.f64 p (+.f64 r r)) p) |
(/.f64 (fma.f64 r #s(literal 2 binary64) p) p) |
(+.f64 p (+.f64 r r)) |
(fma.f64 r #s(literal 2 binary64) p) |
(+.f64 r r) |
(*.f64 r #s(literal 2 binary64)) |
r |
#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 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 p) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (+.f64 (fabs.f64 p) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) |
(+.f64 (+.f64 (fabs.f64 p) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
r |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) | |
| accuracy | 0.01171875 | (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) | |
| accuracy | 17.86846411745365 | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) | |
| accuracy | 28.883105481642787 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 p (+.f64 r r)) p) | |
| accuracy | 15.926193190235825 | (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 20.39018836508166 | (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 40.96238210516782 | #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 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| 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 | 34.406213713296424 | #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 | 58.621155315272716 | #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 | 0.01953125 | (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) | |
| accuracy | 20.722380519508974 | #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)))))) |
| 46.0ms | 136× | 0 | valid |
| 45.0ms | 62× | 1 | valid |
| 42.0ms | 55× | 2 | valid |
| 3.0ms | 3× | 3 | valid |
Compiled 328 to 53 computations (83.8% saved)
ival-add: 33.0ms (31.9% of total)ival-mult: 25.0ms (24.1% of total)adjust: 18.0ms (17.4% of total)ival-div: 9.0ms (8.7% of total)ival-pow2: 6.0ms (5.8% of total)ival-sqrt: 5.0ms (4.8% of total)ival-sub: 3.0ms (2.9% of total)ival-fabs: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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)))) |
(-.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) |
#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 (fabs.f64 r) (fabs.f64 p)) |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 p (+.f64 r 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 p (+.f64 r r)) 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 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) |
(fabs.f64 p) |
(fabs.f64 r) |
(/.f64 (+.f64 p (+.f64 r r)) p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
| Outputs |
|---|
(* 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 (+ r (+ (fabs p) (fabs r)))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(* -1/2 p) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(+ (fabs p) (fabs r)) |
(* -1 (/ r p)) |
r |
(* 2 r) |
(+ p (* 2 r)) |
(* 1/2 (+ r (+ (fabs p) (* 2 q)))) |
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ r (+ (fabs p) (* 2 q))))) |
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))) |
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q))))) |
(+ r (+ (fabs p) (* 2 q))) |
(+ r (+ (fabs p) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))) |
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))) |
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))) |
(+ r (* 2 q)) |
(+ r (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))) |
(+ r (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) |
(+ r (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) |
(fabs p) |
(* 2 (/ r p)) |
(/ (+ p (* 2 r)) p) |
(* 2 q) |
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(* 4 (pow q 2)) |
(+ (* 4 (pow q 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 (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
p |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(* p (+ 1 (* 2 (/ r p)))) |
(* p (+ 1/2 (* 1/2 (/ (+ r (fabs p)) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (/ r p) (/ (fabs p) p)))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p)))))) |
(* p (+ 1 (/ r p))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p)))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p))))) |
1 |
(+ 1 (* 2 (/ r p))) |
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))) |
(pow p 2) |
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow 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 (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(* -1 (* p (- (* -2 (/ r p)) 1))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (fabs p)) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (fabs p)))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ r (fabs p)))) p))))) |
(* -1 p) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (fabs p)) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -2 (/ (pow q 2) p)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 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 4) (pow p 2))) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))) |
(* 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)) |
(- p (+ (fabs p) (fabs r))) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(+ r (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ r (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(fabs 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)))) |
(* -1 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 2 (/ p r))) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))) |
(* r (+ 1 (+ (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) (/ (fabs p) r)))) |
(* r (+ 1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* r (+ (* 2 (/ 1 p)) (/ 1 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 (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (- (* -1 (/ p r)) 2))) |
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1))) |
(* -1 (* r (- (* -1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 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 (+ r (fabs p)))) |
(+ (* 1/2 (+ p (+ r (fabs p)))) (/ (pow q 2) p)) |
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p)))) |
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p)))) |
(+ p (+ r (fabs p))) |
(+ p (+ r (+ (fabs p) (* 2 (/ (pow q 2) p))))) |
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))) |
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))) |
(+ p r) |
(+ p (+ r (* 2 (/ (pow q 2) p)))) |
(+ p (+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) |
(+ p (+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) |
(+ p (* 2 (/ (pow q 2) p))) |
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))) |
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))) |
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 (fabs p)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q)))))) |
(* q (+ 2 (+ (/ r q) (/ (fabs p) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q)))))) |
(* q (+ 2 (/ r q))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q)))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q))))) |
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* (pow q 2) (+ 4 (/ (pow p 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 (fabs p)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ r (fabs p)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ r (fabs p)))) q))))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (fabs p)) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1/4 (/ (pow p 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ r q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1/4 (/ (pow p 2) q))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | p | @ | inf | ((* (/ 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)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 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) (+ (fabs r) (fabs p)) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (* (neg p) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2)) (+ p (+ r r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (/ (+ p (+ r r)) p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 5.0ms | r | @ | 0 | ((* (/ 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)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 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) (+ (fabs r) (fabs p)) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (* (neg p) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2)) (+ p (+ r r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (/ (+ p (+ r r)) p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 4.0ms | p | @ | 0 | ((* (/ 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)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 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) (+ (fabs r) (fabs p)) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (* (neg p) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2)) (+ p (+ r r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (/ (+ p (+ r r)) p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 3.0ms | p | @ | -inf | ((* (/ 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)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 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) (+ (fabs r) (fabs p)) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (* (neg p) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2)) (+ p (+ r r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (/ (+ p (+ r r)) p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 3.0ms | r | @ | inf | ((* (/ 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)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 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) (+ (fabs r) (fabs p)) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (* (neg p) (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2)) (+ p (+ r r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (/ (+ p (+ r r)) p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 685 | 3250 |
| 1 | 2447 | 3136 |
| 0 | 8886 | 2934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (+ r (+ (fabs p) (fabs r)))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(* -1/2 p) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(+ (fabs p) (fabs r)) |
(* -1 (/ r p)) |
r |
(* 2 r) |
(+ p (* 2 r)) |
(* 1/2 (+ r (+ (fabs p) (* 2 q)))) |
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ r (+ (fabs p) (* 2 q))))) |
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))) |
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q))))) |
(+ r (+ (fabs p) (* 2 q))) |
(+ r (+ (fabs p) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))) |
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))) |
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))) |
(+ r (* 2 q)) |
(+ r (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))) |
(+ r (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) |
(+ r (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) |
(fabs p) |
(* 2 (/ r p)) |
(/ (+ p (* 2 r)) p) |
(* 2 q) |
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(* 4 (pow q 2)) |
(+ (* 4 (pow q 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 (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2)) |
p |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(* p (+ 1 (* 2 (/ r p)))) |
(* p (+ 1/2 (* 1/2 (/ (+ r (fabs p)) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2))))) |
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (/ r p) (/ (fabs p) p)))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p)))))) |
(* p (+ 1 (/ r p))) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p)))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p))))) |
1 |
(+ 1 (* 2 (/ r p))) |
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))) |
(pow p 2) |
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow 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 (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(* -1 (* p (- (* -2 (/ r p)) 1))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (fabs p)) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (fabs p)))) p))))) |
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ r (fabs p)))) p))))) |
(* -1 p) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (fabs p)) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -2 (/ (pow q 2) p)))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 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 4) (pow p 2))) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))) |
(* 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)) |
(- p (+ (fabs p) (fabs r))) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(+ r (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ r (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(fabs 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)))) |
(* -1 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 2 (/ p r))) |
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))) |
(* r (+ 1 (+ (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) (/ (fabs p) r)))) |
(* r (+ 1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* r (+ (* 2 (/ 1 p)) (/ 1 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 (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (- (* -1 (/ p r)) 2))) |
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1))) |
(* -1 (* r (- (* -1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 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 (+ r (fabs p)))) |
(+ (* 1/2 (+ p (+ r (fabs p)))) (/ (pow q 2) p)) |
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p)))) |
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p)))) |
(+ p (+ r (fabs p))) |
(+ p (+ r (+ (fabs p) (* 2 (/ (pow q 2) p))))) |
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))) |
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))) |
(+ p r) |
(+ p (+ r (* 2 (/ (pow q 2) p)))) |
(+ p (+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) |
(+ p (+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) |
(+ p (* 2 (/ (pow q 2) p))) |
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))) |
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))) |
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 (fabs p)) q)))) |
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q))))) |
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q)))))) |
(* q (+ 2 (+ (/ r q) (/ (fabs p) q)))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q)))))) |
(* q (+ 2 (/ r q))) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q)))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q))))) |
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* (pow q 2) (+ 4 (/ (pow p 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 (fabs p)) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ r (fabs p)))) q))))) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ r (fabs p)))) q))))) |
(* -2 q) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (fabs p)) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1/4 (/ (pow p 2) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ r q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1/4 (/ (pow p 2) q))) q))))) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))) |
| Outputs |
|---|
(* 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))) |
(* 1/2 (+ 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 (+.f64 r (fabs.f64 p))) (fabs.f64 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r)) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) 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)) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(* -1 (/ r p)) |
(/.f64 (neg.f64 r) p) |
r |
(* 2 r) |
(*.f64 r #s(literal 2 binary64)) |
(+ p (* 2 r)) |
(fma.f64 r #s(literal 2 binary64) p) |
(* 1/2 (+ r (+ (fabs p) (* 2 q)))) |
(*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 p)) r) #s(literal 1/2 binary64)) |
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ r (+ (fabs p) (* 2 q))))) |
(fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/8 binary64) (*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 p)) r) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) q)) (*.f64 p p) (*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 p)) r) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/8 binary64) q)) (*.f64 p p) (*.f64 (+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 p)) r) #s(literal 1/2 binary64))) |
(+ r (+ (fabs p) (* 2 q))) |
(+.f64 (fma.f64 q #s(literal 2 binary64) (fabs.f64 p)) r) |
(+ r (+ (fabs p) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (fma.f64 q #s(literal 2 binary64) (fabs.f64 p))) r) |
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) r)) (fabs.f64 p)) |
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))) |
(+.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) r)) (fabs.f64 p)) |
(+ r (* 2 q)) |
(fma.f64 q #s(literal 2 binary64) r) |
(+ r (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))) |
(fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (fma.f64 q #s(literal 2 binary64) r)) |
(+ r (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) |
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) r)) |
(+ r (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (fma.f64 q #s(literal 2 binary64) r)) |
(fabs p) |
(fabs.f64 p) |
(* 2 (/ r p)) |
(*.f64 (/.f64 r p) #s(literal 2 binary64)) |
(/ (+ p (* 2 r)) p) |
(/.f64 (fma.f64 r #s(literal 2 binary64) p) p) |
(* 2 q) |
(*.f64 q #s(literal 2 binary64)) |
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q)) |
(fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (*.f64 q #s(literal 2 binary64))) |
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (*.f64 q #s(literal 2 binary64))) |
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (*.f64 p p) (*.f64 q #s(literal 2 binary64))) |
(* 4 (pow q 2)) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(+ (* 4 (pow q 2)) (pow p 2)) |
(fma.f64 (*.f64 q q) #s(literal 4 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 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) (/.f64 q 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 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #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)))))) #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) |
p |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(fma.f64 (neg.f64 p) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) p) |
(* p (+ 1 (* 2 (/ r p)))) |
(*.f64 (/.f64 (fma.f64 r #s(literal 2 binary64) p) p) p) |
(* p (+ 1/2 (* 1/2 (/ (+ r (fabs p)) p)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p) |
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) p) |
(* p (+ 1 (+ (/ r p) (/ (fabs p) p)))) |
(fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) p) p p) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (/.f64 (+.f64 r (fabs.f64 p)) p)) p p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (/.f64 (+.f64 r (fabs.f64 p)) p)) p p) |
(* p (+ 1 (/ r p))) |
(fma.f64 (/.f64 r p) p p) |
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) p) (/.f64 r p)) p p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (/.f64 r p)) p p) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ r p))) |
(/.f64 (fma.f64 r #s(literal 2 binary64) p) p) |
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))) |
(fma.f64 (*.f64 p #s(literal 2 binary64)) (*.f64 (/.f64 q p) (/.f64 q p)) p) |
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))) |
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(+.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal 2 binary64) (+.f64 r (fabs.f64 p))) p) |
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))) |
(+.f64 (+.f64 r p) (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 p #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) (fabs.f64 p))) |
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))) |
(+.f64 (+.f64 r p) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) (fabs.f64 p))) |
(+ p r) |
(+.f64 r p) |
(+ p (+ r (* 2 (/ (pow q 2) p)))) |
(fma.f64 (/.f64 (*.f64 q q) p) #s(literal 2 binary64) (+.f64 r p)) |
(+ p (+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 p #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) (+.f64 r p)) |
(+ p (+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) (+.f64 r p)) |
(+ p (* 2 (/ (pow q 2) p))) |
(fma.f64 (/.f64 (*.f64 q q) p) #s(literal 2 binary64) p) |
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 p #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) p) |
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) p) |
q |
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) |
(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q) |
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))))) |
(*.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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)))) q) |
(* q (+ 1 (* 1/2 (/ (+ r (fabs p)) q)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q) |
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)))) q) |
(* q (+ 2 (+ (/ r q) (/ (fabs p) q)))) |
(*.f64 (+.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 2 binary64))) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 2 binary64)))) q) |
(* q (+ 2 (/ r q))) |
(*.f64 (+.f64 (/.f64 r q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/4 binary64) (+.f64 (/.f64 r q) #s(literal 2 binary64))) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/4 binary64) (+.f64 (/.f64 r q) #s(literal 2 binary64)))) q) |
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64)) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64))) q) |
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) q) |
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2)))) |
(*.f64 (fma.f64 (/.f64 p q) (/.f64 p q) #s(literal 4 binary64)) (*.f64 q 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 #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)) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (fabs p)) q))))) |
(*.f64 (fma.f64 (/.f64 (+.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 2) q)) (* 1/2 (+ r (fabs p)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 p p) q) (*.f64 (+.f64 r (fabs.f64 p)) #s(literal 1/2 binary64))) q)) (neg.f64 q)) |
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ r (fabs p)))) q))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 r (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) p) p (*.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) (neg.f64 q))) q)) (neg.f64 q)) |
(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (fabs p)) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 r (fabs.f64 p)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1/4 (/ (pow p 2) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p p) q) (+.f64 r (fabs.f64 p))) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 r (fabs.f64 p)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) p (*.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) q)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ r q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 r q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1/4 (/ (pow p 2) q))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p p) q) r) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 r (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) p (*.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) q)) q)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64)))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 370 |
| 0 | 87 | 370 |
| 1 | 398 | 370 |
| 2 | 3333 | 325 |
| 0 | 8784 | 307 |
| 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)))) |
(-.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) |
#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 (fabs.f64 r) (fabs.f64 p)) |
(fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 p (+.f64 r r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 p (+.f64 r 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 p (+.f64 r r)) 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 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) |
(fabs.f64 p) |
(fabs.f64 r) |
(/.f64 (+.f64 p (+.f64 r r)) p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
| 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 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (fma.f64 r #s(literal 2 binary64) p))) |
(/.f64 (*.f64 (-.f64 (*.f64 p p) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p)) |
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 r #s(literal 2 binary64) p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 p p) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 2 binary64)))) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 3 binary64)))) (fma.f64 (fma.f64 r #s(literal 2 binary64) p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 p r) r) #s(literal 2 binary64)) (*.f64 p p)) (+.f64 (-.f64 (-.f64 p r) r) p)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 p r) r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (-.f64 p r) r) #s(literal 2 binary64)) (fma.f64 p p (*.f64 (-.f64 (-.f64 p r) r) p)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 p p) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 r #s(literal 2 binary64) p) p))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 r #s(literal 2 binary64) p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p)))) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 2 binary64))) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p)) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 3 binary64))) (fma.f64 (fma.f64 r #s(literal 2 binary64) p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p))) |
(-.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 (fma.f64 r #s(literal 2 binary64) p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p))) (/.f64 (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 3 binary64)) (fma.f64 (fma.f64 r #s(literal 2 binary64) p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p)))) |
(-.f64 (-.f64 p p) (*.f64 r #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 p p) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p)) (/.f64 (pow.f64 (fma.f64 r #s(literal 2 binary64) p) #s(literal 2 binary64)) (+.f64 (fma.f64 r #s(literal 2 binary64) p) p))) |
(-.f64 (-.f64 (-.f64 p r) r) p) |
(-.f64 (-.f64 p r) (+.f64 r p)) |
(-.f64 p (fma.f64 r #s(literal 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) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
(*.f64 p #s(literal -1/2 binary64)) |
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(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 3/2 binary64)) (fma.f64 r (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) |
(+.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(*.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p))) |
(*.f64 (sqrt.f64 p) (sqrt.f64 p)) |
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) |
(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 p #s(literal 1 binary64)) |
(neg.f64 p) |
(sqrt.f64 (*.f64 p p)) |
(fabs.f64 p) |
(exp.f64 (/.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64))) |
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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r #s(literal 2 binary64)) p))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 r #s(literal 2 binary64)) p) p)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r #s(literal 2 binary64)) p))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 r p) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 r #s(literal 2 binary64) p))) p) |
(/.f64 (-.f64 (*.f64 p p) (*.f64 r #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 p r) r) p)) |
(/.f64 (fma.f64 r #s(literal 2 binary64) (*.f64 p p)) (*.f64 (-.f64 (*.f64 r #s(literal 2 binary64)) p) p)) |
(/.f64 (*.f64 (fma.f64 r #s(literal 2 binary64) p) p) (*.f64 p p)) |
(/.f64 (fma.f64 r #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 (fma.f64 p p (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) p)) #s(literal 0 binary64))) p)) |
(/.f64 (fma.f64 r #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 (fma.f64 p (-.f64 (-.f64 p r) r) (*.f64 r #s(literal 2 binary64))) p)) |
(/.f64 (neg.f64 (fma.f64 r #s(literal 2 binary64) p)) p) |
(/.f64 (fma.f64 r #s(literal 2 binary64) p) p) |
(neg.f64 (/.f64 (fma.f64 r #s(literal 2 binary64) p) p)) |
(fma.f64 #s(literal 2 binary64) (/.f64 r p) #s(literal 1 binary64)) |
(+.f64 (/.f64 (+.f64 r p) p) (/.f64 r p)) |
(+.f64 (/.f64 r p) (/.f64 (+.f64 r p) p)) |
(+.f64 (/.f64 (*.f64 r #s(literal 2 binary64)) p) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 r #s(literal 2 binary64)) p)) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/2 binary64)) |
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))))) (sqrt.f64 (-.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 p #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 p #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 p #s(literal 8 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 p #s(literal 12 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (-.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (pow.f64 p #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (neg.f64 q))) q (*.f64 p p)) |
(fma.f64 (fabs.f64 (*.f64 q #s(literal 4 binary64))) q (*.f64 p p)) |
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) (sqrt.f64 p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q) (*.f64 p p)) |
(fma.f64 (sqrt.f64 p) (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 p p)) |
(fma.f64 (neg.f64 q) (*.f64 (neg.f64 q) #s(literal 4 binary64)) (*.f64 p p)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(fma.f64 q (fabs.f64 (*.f64 (neg.f64 q) #s(literal 4 binary64))) (*.f64 p p)) |
(fma.f64 q (fabs.f64 (*.f64 q #s(literal 4 binary64))) (*.f64 p p)) |
(fma.f64 q (*.f64 q #s(literal 4 binary64)) (*.f64 p p)) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 p p)) |
(fma.f64 p p (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 p p)) |
(-.f64 (*.f64 p p) (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64))) |
(-.f64 (*.f64 p p) (*.f64 (neg.f64 q) (*.f64 q #s(literal 4 binary64)))) |
(-.f64 (*.f64 p p) (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
(fabs.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (*.f64 p p)) |
(hypot.f64 (neg.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64))) (*.f64 p p)) |
(hypot.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 p p)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))) (/.f64 (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 p p)) |
(+.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
Compiled 28 168 to 2 999 computations (89.4% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 12 | 565 |
| Fresh | 4 | 2 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 562 | 17 | 579 |
| Status | Accuracy | Program |
|---|---|---|
| 52.4% | #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) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)) | |
| 8.6% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (+.f64 r p)) (fabs.f64 p)) #s(literal 1/2 binary64))) | |
| 32.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 p)) #s(literal 1/2 binary64))) | |
| 26.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (/.f64 (neg.f64 r) p)))) | |
| ✓ | 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)) |
| ✓ | 8.4% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 1.2% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| ▶ | 40.0% | #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))) |
| ▶ | 39.8% | #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 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) |
| 46.2% | #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 (fabs.f64 p)) q))) | |
| 43.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))) | |
| 40.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) | |
| ▶ | 35.7% | #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 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) |
| 41.5% | #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)))) | |
| ▶ | 67.6% | #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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
| ▶ | 67.6% | #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) (fabs.f64 p)))))) |
| 40.1% | #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) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)))))) |
Compiled 1 445 to 1 000 computations (30.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 q) | |
| cost-diff | 0 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r 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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) | |
| cost-diff | 4 | (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r 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 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 r) (fabs.f64 p)))))) | |
| cost-diff | 1 | (+.f64 (+.f64 r r) (fabs.f64 p)) | |
| cost-diff | 0 | (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) 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 p (fma.f64 r #s(literal 2 binary64) 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 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) | |
| cost-diff | 3 | (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) | |
| cost-diff | 0 | (+.f64 r p) | |
| cost-diff | 0 | (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) | |
| cost-diff | 0 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) 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 (+.f64 r p) #s(literal 1/2 binary64) q))) | |
| cost-diff | 0 | (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))) | |
| 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r)))) | |
| 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 481 |
| 0 | 83 | 469 |
| 1 | 168 | 469 |
| 2 | 427 | 465 |
| 3 | 1674 | 435 |
| 4 | 6437 | 435 |
| 0 | 8139 | 415 |
| 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)) |
(-.f64 p (+.f64 r (fabs.f64 p))) |
p |
(+.f64 r (fabs.f64 p)) |
r |
(fabs.f64 p) |
(fabs.f64 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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) 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 (+.f64 r p) #s(literal 1/2 binary64) q) |
(+.f64 r p) |
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 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) p)) |
p |
(fma.f64 r #s(literal 2 binary64) p) |
r |
#s(literal 2 binary64) |
#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 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 r) (fabs.f64 p))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p)))) |
#s(literal -1/2 binary64) |
(-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))) |
p |
(+.f64 (+.f64 r r) (fabs.f64 p)) |
(+.f64 r r) |
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 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))) |
(sqrt.f64 q) |
q |
(*.f64 (+.f64 r p) #s(literal 1/2 binary64)) |
(+.f64 r p) |
r |
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)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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 (-.f64 p (fabs.f64 r)) r) (fabs.f64 p)) #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 (+.f64 r (fabs.f64 p))) (fabs.f64 r)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (-.f64 (-.f64 p (fabs.f64 r)) r) (fabs.f64 p)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))) |
(*.f64 (-.f64 (-.f64 (-.f64 p (fabs.f64 r)) r) (fabs.f64 p)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)) |
(-.f64 (-.f64 (-.f64 p (fabs.f64 r)) r) (fabs.f64 p)) |
(-.f64 p (+.f64 r (fabs.f64 p))) |
(-.f64 p (+.f64 (fabs.f64 p) r)) |
p |
(+.f64 r (fabs.f64 p)) |
(+.f64 (fabs.f64 p) r) |
r |
(fabs.f64 p) |
(fabs.f64 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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) 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 (+.f64 r p) #s(literal 1/2 binary64) q) |
(+.f64 r p) |
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 p (fma.f64 r #s(literal 2 binary64) 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 #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 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (*.f64 #s(literal -2 binary64) r) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) r) #s(literal -1/2 binary64)) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) p)) |
(*.f64 #s(literal -2 binary64) r) |
p |
(fma.f64 r #s(literal 2 binary64) p) |
r |
#s(literal 2 binary64) |
#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 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 p (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) #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 r) (fabs.f64 p))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p)))) |
(*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) |
p |
(+.f64 (+.f64 r r) (fabs.f64 p)) |
(fma.f64 r #s(literal 2 binary64) (fabs.f64 p)) |
(+.f64 r r) |
(*.f64 r #s(literal 2 binary64)) |
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 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)) |
(fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) |
(sqrt.f64 q) |
q |
(*.f64 (+.f64 r p) #s(literal 1/2 binary64)) |
(+.f64 r p) |
r |
p |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 q) | |
| accuracy | 0.14453125 | (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))) | |
| accuracy | 20.813792080828097 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64)))) | |
| accuracy | 34.406213713296424 | #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 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.01953125 | (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))) | |
| accuracy | 0.2472085921825725 | #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) (fabs.f64 p))))) | |
| accuracy | 20.722380519508974 | #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) (fabs.f64 p)))))) | |
| accuracy | 0.0 | (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)) | |
| accuracy | 20.722380519508974 | #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 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) | |
| accuracy | 28.51724846742694 | (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) | |
| accuracy | 30.621048097744257 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) | |
| accuracy | 0.0 | (+.f64 r p) | |
| accuracy | 20.813792080828097 | #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)) | |
| accuracy | 34.406213713296424 | #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))) | |
| accuracy | 0.0 | #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)))) | |
| accuracy | 0.015625 | (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)) | |
| accuracy | 0.015625 | (-.f64 p (+.f64 r (fabs.f64 p))) | |
| accuracy | 20.722380519508974 | #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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
| 66.0ms | 81× | 1 | valid |
| 43.0ms | 138× | 0 | valid |
| 30.0ms | 37× | 2 | valid |
Compiled 319 to 52 computations (83.7% saved)
adjust: 24.0ms (24.7% of total)ival-add: 21.0ms (21.6% of total)ival-mult: 21.0ms (21.6% of total)ival-sub: 9.0ms (9.2% of total)ival-div: 8.0ms (8.2% of total)ival-pow2: 6.0ms (6.2% of total)ival-sqrt: 5.0ms (5.1% of total)ival-fabs: 2.0ms (2.1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))) |
(-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) 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 (+.f64 r p) #s(literal 1/2 binary64) q) |
(+.f64 r p) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) 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 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)) |
(+.f64 (+.f64 r 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 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 r) (fabs.f64 p))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p)))) |
(fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 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) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64)))) |
(sqrt.f64 q) |
(-.f64 p (+.f64 r (fabs.f64 p))) |
(-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))) |
(fabs.f64 p) |
| Outputs |
|---|
(* 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 (+ r (+ (fabs p) (fabs r)))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(+ q (* 1/2 r)) |
(+ q (+ (* 1/2 p) (* 1/2 r))) |
r |
(+ p r) |
(* -2 r) |
(+ (fabs p) (* 2 r)) |
(* 1/2 (+ (fabs p) (* 2 r))) |
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (* 2 r)))) |
(* -1 (+ r (fabs p))) |
(- p (+ r (fabs p))) |
(* -1 (+ (fabs p) (* 2 r))) |
(- p (+ (fabs p) (* 2 r))) |
(fabs 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)) |
p |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p)))) |
(* p (+ 1 (/ r p))) |
(* p (- (* 1/2 (/ (+ (fabs p) (* 2 r)) p)) 1/2)) |
(* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))) |
(* p (+ 1 (* -1 (/ (+ (fabs p) (* 2 r)) 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 (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ r p)) 1))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (* 2 r)) p))))) |
(* -1 (* p (- (+ (/ r p) (/ (fabs p) p)) 1))) |
(* -1 (* p (- (+ (* 2 (/ r p)) (/ (fabs p) p)) 1))) |
(* 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)) |
(- p (+ (fabs p) (fabs r))) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(+ q (* 1/2 p)) |
(* -1/2 (- p (fabs p))) |
(+ r (* -1/2 (- p (fabs p)))) |
(- p (fabs p)) |
(- (+ p (* -1 r)) (fabs p)) |
(- (+ p (* -2 r)) (fabs p)) |
(* 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)))) |
(* -1 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r)))) |
(* r (+ 1 (/ p r))) |
(* 2 r) |
(* r (+ 2 (/ (fabs p) r))) |
(* r (+ 1 (* -1/2 (/ (- p (fabs p)) r)))) |
(* r (- (/ p r) (+ 1 (/ (fabs p) r)))) |
(* r (- (/ p r) (+ 2 (/ (fabs 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 (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ p r)) 1))) |
(* -1 (* r (- (* -1 (/ (fabs p) r)) 2))) |
(* -1 (* r (- (* 1/2 (/ (- p (fabs p)) r)) 1))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (fabs p)) r))))) |
(* -1 (* r (+ 2 (* -1 (/ (- p (fabs 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 (+ (fabs p) (fabs r))) |
(* 1/2 (+ p r)) |
(+ q (* 1/2 (+ p r))) |
(sqrt q) |
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)))) |
(* -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 (pow (sqrt -1) 2))) |
(* -1 (* q (+ (* -1/2 (/ (+ p r) q)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt q) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | p | @ | inf | ((* (/ 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 p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (- p (+ (* r 2) 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)) (* (- p (+ (* r 2) p)) -1/2) (+ (+ r 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 r) (fabs p)))) (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (sqrt q) (- p (+ r (fabs p))) (- p (+ (+ r r) (fabs p))) (fabs p)) |
| 3.0ms | r | @ | inf | ((* (/ 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 p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (- p (+ (* r 2) 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)) (* (- p (+ (* r 2) p)) -1/2) (+ (+ r 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 r) (fabs p)))) (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (sqrt q) (- p (+ r (fabs p))) (- p (+ (+ r r) (fabs p))) (fabs p)) |
| 2.0ms | r | @ | -inf | ((* (/ 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 p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (- p (+ (* r 2) 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)) (* (- p (+ (* r 2) p)) -1/2) (+ (+ r 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 r) (fabs p)))) (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (sqrt q) (- p (+ r (fabs p))) (- p (+ (+ r r) (fabs p))) (fabs p)) |
| 2.0ms | p | @ | 0 | ((* (/ 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 p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (- p (+ (* r 2) 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)) (* (- p (+ (* r 2) p)) -1/2) (+ (+ r 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 r) (fabs p)))) (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (sqrt q) (- p (+ r (fabs p))) (- p (+ (+ r r) (fabs p))) (fabs p)) |
| 2.0ms | p | @ | -inf | ((* (/ 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 p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (- p (+ (* r 2) 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)) (* (- p (+ (* r 2) p)) -1/2) (+ (+ r 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 r) (fabs p)))) (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (sqrt q) (- p (+ r (fabs p))) (- p (+ (+ r r) (fabs p))) (fabs p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 1729 |
| 1 | 1432 | 1639 |
| 2 | 5277 | 1616 |
| 0 | 8235 | 1524 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (+ r (+ (fabs p) (fabs r)))) |
(- p (+ r (+ (fabs p) (fabs r)))) |
(+ q (* 1/2 (+ (fabs p) (fabs r)))) |
(+ q (* 1/2 r)) |
(+ q (+ (* 1/2 p) (* 1/2 r))) |
r |
(+ p r) |
(* -2 r) |
(+ (fabs p) (* 2 r)) |
(* 1/2 (+ (fabs p) (* 2 r))) |
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (* 2 r)))) |
(* -1 (+ r (fabs p))) |
(- p (+ r (fabs p))) |
(* -1 (+ (fabs p) (* 2 r))) |
(- p (+ (fabs p) (* 2 r))) |
(fabs 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)) |
p |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p)))) |
(* p (+ 1 (/ r p))) |
(* p (- (* 1/2 (/ (+ (fabs p) (* 2 r)) p)) 1/2)) |
(* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))) |
(* p (+ 1 (* -1 (/ (+ (fabs p) (* 2 r)) 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 (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ r p)) 1))) |
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (* 2 r)) p))))) |
(* -1 (* p (- (+ (/ r p) (/ (fabs p) p)) 1))) |
(* -1 (* p (- (+ (* 2 (/ r p)) (/ (fabs p) p)) 1))) |
(* 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)) |
(- p (+ (fabs p) (fabs r))) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(+ q (* 1/2 p)) |
(* -1/2 (- p (fabs p))) |
(+ r (* -1/2 (- p (fabs p)))) |
(- p (fabs p)) |
(- (+ p (* -1 r)) (fabs p)) |
(- (+ p (* -2 r)) (fabs p)) |
(* 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)))) |
(* -1 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r)))) |
(* r (+ 1 (/ p r))) |
(* 2 r) |
(* r (+ 2 (/ (fabs p) r))) |
(* r (+ 1 (* -1/2 (/ (- p (fabs p)) r)))) |
(* r (- (/ p r) (+ 1 (/ (fabs p) r)))) |
(* r (- (/ p r) (+ 2 (/ (fabs 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 (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ p r)) 1))) |
(* -1 (* r (- (* -1 (/ (fabs p) r)) 2))) |
(* -1 (* r (- (* 1/2 (/ (- p (fabs p)) r)) 1))) |
(* -1 (* r (+ 1 (* -1 (/ (- p (fabs p)) r))))) |
(* -1 (* r (+ 2 (* -1 (/ (- p (fabs 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 (+ (fabs p) (fabs r))) |
(* 1/2 (+ p r)) |
(+ q (* 1/2 (+ p r))) |
(sqrt q) |
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)))) |
(* -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 (pow (sqrt -1) 2))) |
(* -1 (* q (+ (* -1/2 (/ (+ p r) q)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt q) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* 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 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r)) |
(+ 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) |
r |
(+ p r) |
(+.f64 r p) |
(* -2 r) |
(*.f64 #s(literal -2 binary64) r) |
(+ (fabs p) (* 2 r)) |
(fma.f64 r #s(literal 2 binary64) (fabs.f64 p)) |
(* 1/2 (+ (fabs p) (* 2 r))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r) |
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (* 2 r)))) |
(fma.f64 #s(literal -1/2 binary64) p (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)) |
(* -1 (+ r (fabs p))) |
(neg.f64 (+.f64 r (fabs.f64 p))) |
(- p (+ r (fabs p))) |
(-.f64 p (+.f64 r (fabs.f64 p))) |
(* -1 (+ (fabs p) (* 2 r))) |
(neg.f64 (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) |
(- p (+ (fabs p) (* 2 r))) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) |
(fabs p) |
(fabs.f64 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) |
p |
(* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)) 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 (+ 1 (/ r p))) |
(fma.f64 (/.f64 r p) p p) |
(* p (- (* 1/2 (/ (+ (fabs p) (* 2 r)) p)) 1/2)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r) p) #s(literal 1/2 binary64)) p) |
(* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))) |
(fma.f64 (neg.f64 p) (/.f64 (+.f64 r (fabs.f64 p)) p) p) |
(* p (+ 1 (* -1 (/ (+ (fabs p) (* 2 r)) p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 r #s(literal 2 binary64) (fabs.f64 p)) p)) 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 (neg.f64 q) (/.f64 q p) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) 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 (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1 binary64))) |
(* -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 (+ 1/2 (* -1/2 (/ (+ (fabs p) (* 2 r)) p))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r) p))) |
(* -1 (* p (- (+ (/ r p) (/ (fabs p) p)) 1))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 r (fabs.f64 p)) p) #s(literal 1 binary64))) |
(* -1 (* p (- (+ (* 2 (/ r p)) (/ (fabs p) p)) 1))) |
(*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 r #s(literal 2 binary64) (fabs.f64 p)) p) #s(literal 1 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)) |
(* -1/2 (- p (+ (fabs p) (fabs r)))) |
(*.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (- p (+ (fabs p) (fabs r)))) (* 1/2 r)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))) |
(- p (+ (fabs p) (fabs r))) |
(-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) |
(- (+ p (* -1 r)) (+ (fabs p) (fabs r))) |
(-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)) |
(+ q (* 1/2 p)) |
(fma.f64 #s(literal 1/2 binary64) p q) |
(* -1/2 (- p (fabs p))) |
(*.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64)) |
(+ r (* -1/2 (- p (fabs p)))) |
(fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r) |
(- p (fabs p)) |
(-.f64 p (fabs.f64 p)) |
(- (+ p (* -1 r)) (fabs p)) |
(-.f64 p (+.f64 r (fabs.f64 p))) |
(- (+ p (* -2 r)) (fabs p)) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) (fabs.f64 p))) |
(* 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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 p (neg.f64 r)) #s(literal 1/2 binary64)) r) |
(* r (+ 1/2 (* -1/2 (/ (- p (+ (fabs p) (fabs r))) r)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) |
(* -1 r) |
(neg.f64 r) |
(* r (- (/ p r) (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)) 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) |
(* 2 r) |
(*.f64 r #s(literal 2 binary64)) |
(* r (+ 2 (/ (fabs p) r))) |
(*.f64 (+.f64 (/.f64 (fabs.f64 p) r) #s(literal 2 binary64)) r) |
(* r (+ 1 (* -1/2 (/ (- p (fabs p)) r)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 p (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1 binary64)) r) |
(* r (- (/ p r) (+ 1 (/ (fabs p) r)))) |
(*.f64 (-.f64 (/.f64 (-.f64 p (fabs.f64 p)) r) #s(literal 1 binary64)) r) |
(* r (- (/ p r) (+ 2 (/ (fabs p) r)))) |
(*.f64 (-.f64 (/.f64 (-.f64 p (fabs.f64 p)) r) #s(literal 2 binary64)) r) |
(* -1/2 r) |
(*.f64 #s(literal -1/2 binary64) r) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 r)) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 q) (/.f64 q r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) r)) (neg.f64 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 (-.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)) (neg.f64 r)) |
(* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2))) |
(*.f64 (-.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)) (neg.f64 r)) |
(* -1 (* r (- (* 1/2 (/ (- p (+ (fabs p) (fabs r))) r)) 1/2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 r)) |
(* -1 (* r (+ 1 (* -1 (/ (- p (+ (fabs p) (fabs r))) r))))) |
(fma.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) r (neg.f64 r)) |
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p q) (neg.f64 r)) #s(literal 1/2 binary64)) (neg.f64 r)) |
(* -1 (* r (- (* -1 (/ p r)) 1))) |
(*.f64 (-.f64 (/.f64 p (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 r)) |
(* -1 (* r (- (* -1 (/ (fabs p) r)) 2))) |
(*.f64 (-.f64 (/.f64 (fabs.f64 p) (neg.f64 r)) #s(literal 2 binary64)) (neg.f64 r)) |
(* -1 (* r (- (* 1/2 (/ (- p (fabs p)) r)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 p (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 r)) |
(* -1 (* r (+ 1 (* -1 (/ (- p (fabs p)) r))))) |
(fma.f64 (/.f64 (-.f64 p (fabs.f64 p)) r) r (neg.f64 r)) |
(* -1 (* r (+ 2 (* -1 (/ (- p (fabs p)) r))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 p (fabs.f64 p)) r)) (neg.f64 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 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (fma.f64 q (/.f64 q (-.f64 p r)) (/.f64 (neg.f64 (pow.f64 q #s(literal 4 binary64))) (pow.f64 (-.f64 p r) #s(literal 3 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 (pow.f64 q #s(literal 4 binary64)) (-.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)))) (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 (+ (fabs p) (fabs r))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(* 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) |
(sqrt q) |
(sqrt.f64 q) |
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) |
(* -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))))) |
(fma.f64 (/.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) 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))))) |
(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))) 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 (- (* -1/2 (/ (+ p r) q)) 1))) |
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* -1 (* q (pow (sqrt -1) 2))) |
q |
(* -1 (* q (+ (* -1/2 (/ (+ p r) q)) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) |
(* -1 (* (sqrt q) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 q) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 440 |
| 0 | 83 | 428 |
| 1 | 396 | 428 |
| 2 | 3416 | 428 |
| 0 | 8522 | 408 |
| 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))) |
(-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) 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 (+.f64 r p) #s(literal 1/2 binary64) q) |
(+.f64 r p) |
(-.f64 p (fma.f64 r #s(literal 2 binary64) 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 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 p (fma.f64 r #s(literal 2 binary64) p)) #s(literal -1/2 binary64)) |
(+.f64 (+.f64 r 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 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 r) (fabs.f64 p))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p)))) |
(fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 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) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64)))) |
(sqrt.f64 q) |
(-.f64 p (+.f64 r (fabs.f64 p))) |
(-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))) |
(fabs.f64 p) |
| 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 (-.f64 (-.f64 p (+.f64 (fabs.f64 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 (-.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) (fabs.f64 r)) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) (fabs.f64 r)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) (fabs.f64 r))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal -1/2 binary64)) (-.f64 (-.f64 p r) (-.f64 (fabs.f64 p) (fabs.f64 r)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (fabs.f64 r) (-.f64 (-.f64 p r) (-.f64 (fabs.f64 p) (fabs.f64 r))) (pow.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) #s(literal 2 binary64)) (*.f64 r r))) (-.f64 (-.f64 p r) (-.f64 (fabs.f64 p) (fabs.f64 r)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 (fabs.f64 r) (-.f64 (-.f64 p r) (-.f64 (fabs.f64 p) (fabs.f64 r))) (pow.f64 (-.f64 p (+.f64 (fabs.f64 p) r)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) #s(literal 2 binary64))) (+.f64 p (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)))) |
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(-.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) |
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#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))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
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(-.f64 (-.f64 (-.f64 p r) r) (fabs.f64 p)) |
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(*.f64 (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64))) |
(*.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 (fabs.f64 p) #s(literal 1 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 (fabs.f64 p))) |
(fabs.f64 (neg.f64 (neg.f64 p))) |
(fabs.f64 (fabs.f64 p)) |
(fabs.f64 (neg.f64 p)) |
(fabs.f64 p) |
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) |
Compiled 21 308 to 2 033 computations (90.5% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 8 | 384 |
| Fresh | 4 | 5 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 385 | 16 | 401 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | #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)) | |
| 32.0% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 p)) #s(literal 1/2 binary64))) | |
| 26.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (/.f64 (neg.f64 r) p)))) | |
| ✓ | 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)) |
| ✓ | 8.4% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 39.8% | #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 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) |
| 37.6% | #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 (sqrt.f64 q) (exp.f64 (*.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))))) | |
| 46.2% | #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 (fabs.f64 p)) q))) | |
| 41.2% | #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 (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))) | |
| 38.7% | #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 (+ (* (+ r p) 1/2) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)))) | |
| 35.8% | #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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) | |
| 43.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))) | |
| 40.8% | #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) | |
| 67.6% | #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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) | |
| 41.5% | #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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) | |
| 34.3% | #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) (fabs p)))) (*.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64))))) |
Compiled 2 593 to 783 computations (69.8% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.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) (*.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)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (+.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 (-.f64 p (fma.f64 r #s(literal 2 binary64) 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) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (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 (* (/ 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) (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 (* (/ 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (/.f64 (neg.f64 r) 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) (+ (+ (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 (+ (* (+ r p) 1/2) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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)) |
#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 p (+.f64 r r)) 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 #s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)) #s(literal 1/2 binary64))) |
#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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #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)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)))))) (*.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))) |
(*.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 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (*.f64 (/.f64 (+.f64 p r) q) q) #s(literal 1/2 binary64)))) |
#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)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) |
#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)) |
#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) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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 (sqrt.f64 q) (exp.f64 (*.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 r p) #s(literal 1/2 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))))))) |
| 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) 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))))))) |
#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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) |
7 calls:
| 34.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 22.0ms | (*.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))))))) |
| 21.0ms | r |
| 10.0ms | q |
| 10.0ms | p |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 4 | (pow.f64 q #s(literal 2 binary64)) |
| 85.1% | 4 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 81.6% | 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)))))) |
| 81.6% | 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))))))) |
| 77.0% | 3 | p |
| 72.4% | 3 | r |
| 85.8% | 4 | q |
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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.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) (*.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)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (+.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 (-.f64 p (fma.f64 r #s(literal 2 binary64) 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) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (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 (* (/ 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) (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 (* (/ 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (/.f64 (neg.f64 r) 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) (+ (+ (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 (+ (* (+ r p) 1/2) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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)) |
#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 p (+.f64 r r)) 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 #s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)) #s(literal 1/2 binary64))) |
#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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #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)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)))))) (*.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))) |
(*.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 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (*.f64 (/.f64 (+.f64 p r) q) q) #s(literal 1/2 binary64)))) |
#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)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) |
#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)) |
#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) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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 (sqrt.f64 q) (exp.f64 (*.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 r 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))) |
5 calls:
| 19.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 10.0ms | (*.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))))))) |
| 10.0ms | (+.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)))))) |
| 10.0ms | q |
| 9.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 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)))))) |
| 74.0% | 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))))))) |
| 83.3% | 4 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 83.7% | 4 | (pow.f64 q #s(literal 2 binary64)) |
| 84.0% | 4 | q |
Compiled 49 to 48 computations (2% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.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) (*.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)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (+.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 (-.f64 p (fma.f64 r #s(literal 2 binary64) 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) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (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 (* (/ 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) (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 (* (/ 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (/.f64 (neg.f64 r) 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) (+ (+ (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 (+ (* (+ r p) 1/2) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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)) |
#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 p (+.f64 r r)) 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 #s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)) #s(literal 1/2 binary64))) |
#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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #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)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)))))) (*.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))) |
(*.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 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (*.f64 (/.f64 (+.f64 p r) q) q) #s(literal 1/2 binary64)))) |
#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)) |
| 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))) |
1 calls:
| 9.0ms | q |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 4 | q |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.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) (*.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)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (+.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 (-.f64 p (fma.f64 r #s(literal 2 binary64) 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) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (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 (* (/ 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) (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 (* (/ 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 (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ p (+ r r)) p) -1/2) 1/2) (/.f64 (neg.f64 r) 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) (+ (+ (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 (+ (* (+ r p) 1/2) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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)) |
#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 p (+.f64 r r)) 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 #s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)) #s(literal 1/2 binary64))) |
#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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (sqrt.f64 q) (sqrt.f64 q) (*.f64 (+.f64 r p) #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)))) |
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))) |
1 calls:
| 9.0ms | q |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 2 | q |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.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) (*.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)))))) (*.f64 (+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (+.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 (-.f64 p (fma.f64 r #s(literal 2 binary64) 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) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (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 (* (/ 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) (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)))))) |
| 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))) |
1 calls:
| 5.0ms | q |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 2 | q |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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 (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
2 calls:
| 24.0ms | q |
| 3.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 2 | (pow.f64 q #s(literal 2 binary64)) |
| 80.4% | 2 | q |
Compiled 4 to 8 computations (-100% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (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)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 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) (fabs p)))) (*.f64 (-.f64 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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) |
7 calls:
| 6.0ms | (+.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)))))) |
| 3.0ms | r |
| 3.0ms | q |
| 3.0ms | p |
| 3.0ms | (*.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 |
|---|---|---|
| 66.0% | 3 | r |
| 47.7% | 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)))))) |
| 47.7% | 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))))))) |
| 69.5% | 3 | p |
| 60.1% | 3 | (pow.f64 q #s(literal 2 binary64)) |
| 60.1% | 3 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 62.3% | 4 | q |
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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) 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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q))) |
| Outputs |
|---|
#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 (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) |
3 calls:
| 2.0ms | p |
| 2.0ms | q |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 2 | q |
| 58.6% | 2 | r |
| 52.7% | 3 | p |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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) (+ (+ (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 (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
| Outputs |
|---|
#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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))) |
7 calls:
| 3.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 2.0ms | r |
| 2.0ms | q |
| 2.0ms | 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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 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)))))) |
| 41.2% | 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))))))) |
| 43.0% | 2 | p |
| 41.2% | 1 | q |
| 41.2% | 1 | (pow.f64 q #s(literal 2 binary64)) |
| 41.2% | 1 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 41.2% | 1 | r |
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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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)))))) (*.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)) |
| Outputs |
|---|
#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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
7 calls:
| 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)))))) |
| 3.0ms | q |
| 3.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 2.0ms | r |
| 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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.8% | 1 | (pow.f64 q #s(literal 2 binary64)) |
| 35.8% | 1 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 35.8% | 1 | q |
| 35.8% | 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)))))) |
| 35.8% | 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))))))) |
| 35.8% | 1 | r |
| 37.8% | 2 | p |
Compiled 51 to 54 computations (-5.9% saved)
Total -22.1b remaining (-53.9%)
Threshold costs -22.1b (-53.9%)
| Inputs |
|---|
#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 (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
#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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
2 calls:
| 1.0ms | p |
| 1.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.8% | 1 | r |
| 35.8% | 1 | p |
Compiled 2 to 6 computations (-200% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 1.6047457087975466e+156 | 1.9395442427183157e+170 |
| 19.0ms | 4.681365583200282e+87 | 1.1883900129386874e+92 |
| 7.0ms | 58588.890995934904 | 64366.395287692765 |
| 36.0ms | 320× | 0 | valid |
Compiled 2 015 to 1 404 computations (30.3% saved)
ival-pow2: 6.0ms (24.7% of total)ival-add: 4.0ms (16.5% of total)ival-mult: 4.0ms (16.5% of total)ival-fabs: 3.0ms (12.4% of total)ival-div: 2.0ms (8.2% of total)ival-sub: 2.0ms (8.2% of total)ival-sqrt: 2.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.6047457087975466e+156 | 1.9395442427183157e+170 |
| 1.0ms | 4.681365583200282e+87 | 1.1883900129386874e+92 |
| 9.0ms | 2158065498037631200.0 | 2703978246395751000.0 |
| 7.0ms | 48× | 0 | valid |
Compiled 2 282 to 1 583 computations (30.6% saved)
ival-add: 2.0ms (38.2% of total)ival-mult: 1.0ms (19.1% of total)ival-fabs: 1.0ms (19.1% of total)ival-pow2: 1.0ms (19.1% of total)ival-div: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.6047457087975466e+156 | 1.9395442427183157e+170 |
| 2.0ms | 4.681365583200282e+87 | 1.1883900129386874e+92 |
| 1.0ms | 2158065498037631200.0 | 2703978246395751000.0 |
Compiled 2 112 to 1 483 computations (29.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.6047457087975466e+156 | 1.9395442427183157e+170 |
Compiled 975 to 704 computations (27.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.6047457087975466e+156 | 1.9395442427183157e+170 |
Compiled 1 045 to 724 computations (30.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.6047457087975466e+156 | 1.9395442427183157e+170 |
Compiled 1 095 to 744 computations (32.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.55305468584168e-285 | 4.282324973834666e-283 |
| 9.0ms | -1.237019609603576e+78 | -6.654673534355467e+77 |
| 19.0ms | 176× | 0 | valid |
Compiled 1 184 to 809 computations (31.7% saved)
ival-mult: 3.0ms (21.3% of total)ival-pow2: 3.0ms (21.3% of total)ival-add: 2.0ms (14.2% of total)ival-fabs: 2.0ms (14.2% of total)ival-div: 1.0ms (7.1% of total)ival-sub: 1.0ms (7.1% of total)ival-sqrt: 1.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 6.996622553374378e-20 | 6.517340740441934e-15 |
| 25.0ms | 144× | 0 | valid |
Compiled 970 to 663 computations (31.6% saved)
ival-sqrt: 9.0ms (47.6% of total)ival-pow2: 3.0ms (15.9% of total)ival-add: 2.0ms (10.6% of total)ival-mult: 2.0ms (10.6% of total)ival-div: 1.0ms (5.3% of total)ival-fabs: 1.0ms (5.3% of total)ival-sub: 1.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -3.2688888593521217e+204 | -4.1220996784080696e+200 |
| 31.0ms | 128× | 0 | valid |
Compiled 625 to 464 computations (25.8% saved)
ival-add: 2.0ms (21.7% of total)ival-pow2: 2.0ms (21.7% of total)ival-div: 1.0ms (10.8% of total)ival-mult: 1.0ms (10.8% of total)ival-fabs: 1.0ms (10.8% of total)ival-sub: 1.0ms (10.8% of total)ival-sqrt: 1.0ms (10.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.2688888593521217e+204 | -4.1220996784080696e+200 |
Compiled 633 to 464 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1392 |
| 1 | 243 | 1392 |
| 2 | 575 | 1392 |
| 3 | 1920 | 1392 |
| 4 | 6478 | 1392 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 q #s(literal 64000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 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))))))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))))) |
(if (<=.f64 q #s(literal 2700000000000000000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))))) |
(if (<=.f64 q #s(literal 2700000000000000000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))))) |
(if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))) |
(if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))) |
(if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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 (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q))))) |
(if (<=.f64 p #s(literal -679999999999999993434378394999952707618962679547028431438080397586052920901632 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) (fabs p)))) (*.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64))))) (if (<=.f64 p #s(literal 4821788732338203/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 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) #s(approx (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))))) |
(if (<=.f64 r #s(literal 8239728901483491/1267650600228229401496703205376 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) #s(approx (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))) |
(if (<=.f64 p #s(literal -2200000000000000114526675314097842167203968934740434148633934920883700221207045234984330128975265497209105245576489991785917226330269000887127252407911224293893555603045533913876912597438081378874583678976 binary64)) #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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q))))) |
(if (<=.f64 p #s(literal -2200000000000000114526675314097842167203968934740434148633934920883700221207045234984330128975265497209105245576489991785917226330269000887127252407911224293893555603045533913876912597438081378874583678976 binary64)) #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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) 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) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q))) |
| Outputs |
|---|
(if (<=.f64 q #s(literal 64000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 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))))))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))))) |
(if (<=.f64 q #s(literal 64000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 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))))))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))))) |
(if (<=.f64 q #s(literal 2700000000000000000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 r (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))))) |
(if (<=.f64 q #s(literal 2700000000000000000 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 7999999999999999675333795650802901851935968717187611517357912078453631383607635404128256 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))))) |
(if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))) |
(if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))) |
(if (<=.f64 q #s(literal 44999999999999997952466935791076021521856967325113472721571193456113939855904095422267714680125686570943963818223312663501677188363478715016848709460758286565376 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) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 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 (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q))))) |
(if (<=.f64 p #s(literal -679999999999999993434378394999952707618962679547028431438080397586052920901632 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) (fabs p)))) (*.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64))))) (if (<=.f64 p #s(literal 4821788732338203/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 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) #s(approx (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))))) |
(if (<=.f64 r #s(literal 8239728901483491/1267650600228229401496703205376 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) #s(approx (+ (* (+ r p) 1/2) 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) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))) |
(if (<=.f64 p #s(literal -2200000000000000114526675314097842167203968934740434148633934920883700221207045234984330128975265497209105245576489991785917226330269000887127252407911224293893555603045533913876912597438081378874583678976 binary64)) #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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q))))) |
(if (<=.f64 p #s(literal -2200000000000000114526675314097842167203968934740434148633934920883700221207045234984330128975265497209105245576489991785917226330269000887127252407911224293893555603045533913876912597438081378874583678976 binary64)) #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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) q)))) |
(if (<=.f64 p #s(literal -2200000000000000114526675314097842167203968934740434148633934920883700221207045234984330128975265497209105245576489991785917226330269000887127252407911224293893555603045533913876912597438081378874583678976 binary64)) #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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) 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) #s(approx (+ (* (sqrt q) (sqrt q)) (* (+ r p) 1/2)) 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) #s(approx (+ (* (+ r p) 1/2) q) q))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 282 |
| 0 | 69 | 282 |
| 1 | 301 | 282 |
| 2 | 2388 | 247 |
| 0 | 9040 | 242 |
| 0 | 61 | 370 |
| 0 | 87 | 370 |
| 1 | 398 | 370 |
| 2 | 3333 | 325 |
| 0 | 8784 | 307 |
| 0 | 685 | 3250 |
| 1 | 2447 | 3136 |
| 0 | 8886 | 2934 |
| 0 | 429 | 1729 |
| 1 | 1432 | 1639 |
| 2 | 5277 | 1616 |
| 0 | 8235 | 1524 |
| 0 | 607 | 3046 |
| 1 | 2190 | 2944 |
| 0 | 8582 | 2750 |
| 0 | 576 | 3228 |
| 1 | 2113 | 3014 |
| 0 | 8685 | 2798 |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 736 to 1 209 computations (55.8% saved)
Compiled 4 624 to 972 computations (79% saved)
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