
Time bar (total: 9.0s)
| 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)
| 707.0ms | 3 141× | 1 | valid |
| 647.0ms | 2 183× | 2 | valid |
| 326.0ms | 2 932× | 0 | valid |
adjust: 249.0ms (19.3% of total)ival-pow2: 244.0ms (18.9% of total)ival-mult: 172.0ms (13.3% of total)ival-sub: 166.0ms (12.8% of total)ival-add: 164.0ms (12.7% of total)ival-sqrt: 135.0ms (10.4% of total)ival-fabs: 81.0ms (6.3% of total)ival-div: 59.0ms (4.6% of total)exact: 13.0ms (1% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 158 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 126 | 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 | - | q |
| 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 | - | (-.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 | - | #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 | 156 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | overflow | 156 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | overflow | 65 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | overflow | 116 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | overflow | 65 | |
-.f64 | (-.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)))))) | cancellation | 126 | 0 |
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 | 2 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | underflow | 2 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | underflow | 66 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | underflow | 8 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | underflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 208 | 0 |
| - | 1 | 47 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 208 | 0 | 0 |
| - | 1 | 0 | 47 |
| number | freq |
|---|---|
| 0 | 47 |
| 1 | 134 |
| 2 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 148× | 2 | valid |
| 43.0ms | 186× | 1 | valid |
| 21.0ms | 176× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 220 to 58 computations (73.6% saved)
ival-pow2: 21.0ms (24.4% of total)adjust: 16.0ms (18.6% of total)ival-mult: 10.0ms (11.6% of total)ival-sub: 9.0ms (10.5% of total)ival-sqrt: 9.0ms (10.5% of total)ival-add: 9.0ms (10.5% of total)ival-fabs: 5.0ms (5.8% of total)ival-div: 3.0ms (3.5% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 187 |
| 1 | 160 | 184 |
| 2 | 443 | 180 |
| 3 | 1460 | 180 |
| 4 | 3733 | 180 |
| 5 | 5610 | 180 |
| 6 | 7519 | 180 |
| 0 | 18 | 20 |
| 0 | 31 | 20 |
| 1 | 45 | 20 |
| 2 | 80 | 20 |
| 3 | 170 | 20 |
| 4 | 345 | 20 |
| 5 | 797 | 20 |
| 6 | 1614 | 20 |
| 7 | 3207 | 20 |
| 8 | 4101 | 20 |
| 9 | 4385 | 20 |
| 10 | 4475 | 20 |
| 11 | 4479 | 20 |
| 12 | 4479 | 20 |
| 13 | 4601 | 20 |
| 14 | 4625 | 20 |
| 15 | 4625 | 20 |
| 0 | 4625 | 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 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(abs q)
(sort p r)
Compiled 22 to 18 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 22.8% | (*.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 | 45 | 93 |
| 2 | 80 | 93 |
| 3 | 170 | 93 |
| 4 | 345 | 93 |
| 5 | 797 | 93 |
| 6 | 1614 | 93 |
| 7 | 3207 | 93 |
| 8 | 4101 | 93 |
| 9 | 4385 | 93 |
| 10 | 4475 | 93 |
| 11 | 4479 | 93 |
| 12 | 4479 | 93 |
| 13 | 4601 | 93 |
| 14 | 4625 | 93 |
| 15 | 4625 | 93 |
| 0 | 4625 | 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 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(/.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(+.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 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | |
| accuracy | 0.01171875 | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | |
| accuracy | 29.433260812349648 | (-.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 | 36.626577828525946 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 117.0ms | 93× | 1 | valid |
| 23.0ms | 74× | 2 | valid |
| 10.0ms | 88× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 99 to 20 computations (79.8% saved)
ival-mult: 70.0ms (67.8% of total)adjust: 7.0ms (6.8% of total)ival-pow2: 7.0ms (6.8% of total)ival-add: 5.0ms (4.8% of total)ival-sub: 4.0ms (3.9% of total)ival-sqrt: 4.0ms (3.9% of total)ival-div: 2.0ms (1.9% of total)ival-fabs: 2.0ms (1.9% 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))))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Outputs |
|---|
(+ (* 4 (pow q 2)) (pow r 2)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2))) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(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 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* -1 p) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
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 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(* -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 (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(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 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* -1 r) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))) |
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 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1))) |
(* -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 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(- (+ r (+ (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)))))))) p) |
(- 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)))) |
(* -1 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* 2 q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | q | @ | 0 | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | p | @ | 0 | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | r | @ | 0 | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | q | @ | inf | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 2.0ms | p | @ | inf | ((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 620 | 3260 |
| 1 | 1907 | 3079 |
| 2 | 6213 | 2943 |
| 0 | 8129 | 2744 |
| 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(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 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* -1 p) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
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 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(* -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 (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(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 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* -1 r) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))) |
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 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1))) |
(* -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 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(- (+ r (+ (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)))))))) p) |
(- 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)))) |
(* -1 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* 2 q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(* -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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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 (fma.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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)))) p) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (*.f64 (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(fma.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) r)) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r)) p (+.f64 (fabs.f64 r) (fabs.f64 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 (neg.f64 r) p) (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)))) p) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) (neg.f64 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)))))) (* 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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) r (*.f64 (*.f64 #s(literal 1/2 binary64) p) (*.f64 (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))))) 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 p (fma.f64 (fma.f64 (/.f64 r p) (+.f64 (/.f64 r p) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (*.f64 q q) p))) p p)) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(*.f64 (fma.f64 (neg.f64 (/.f64 q p)) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) p) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 r p) #s(literal 1 binary64)) (*.f64 (/.f64 q p) (/.f64 q 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 p) |
(neg.f64 p) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (*.f64 q q) p) (-.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) p) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 q q)) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (*.f64 q q) p) (-.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (-.f64 #s(literal 1 binary64) (/.f64 r 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 (*.f64 (+.f64 (/.f64 r p) #s(literal 1 binary64)) (*.f64 (/.f64 q p) (/.f64 q p))) #s(literal 2 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 (/.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 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q (fma.f64 q (/.f64 r p) q)) p)) p))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) p))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 q (fma.f64 q (/.f64 r p) q)) p) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) p))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p (neg.f64 p)) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 q (fma.f64 q (/.f64 r p) q)) p) r) p) p (neg.f64 p)) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 2 binary64) (/.f64 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))))) |
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(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64))) q) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (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 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)))) q) |
(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(*.f64 (+.f64 (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q)) q) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(*.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) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q))) q) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 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) (+.f64 (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q)))) q) |
(* 2 q) |
(*.f64 #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 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) q) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.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 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))) q)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.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)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) q)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(*.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 (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) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 72 |
| 0 | 31 | 72 |
| 1 | 109 | 72 |
| 2 | 796 | 72 |
| 0 | 8737 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #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)))) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.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 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #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 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 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 (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 (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))))) |
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(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 r p)) (-.f64 p r)) (/.f64 #s(literal 1 binary64) (*.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)) (*.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (*.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (-.f64 p r))) |
(*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) (-.f64 p r))) |
(*.f64 (-.f64 p r) (-.f64 p r)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 p r))) |
(pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 p r) (fma.f64 (neg.f64 p) p (*.f64 r r))) (neg.f64 (+.f64 r p))) |
(/.f64 (*.f64 (-.f64 p r) (neg.f64 (-.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 (*.f64 (-.f64 p r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 p r))) |
(/.f64 (-.f64 (*.f64 (*.f64 p (-.f64 p r)) (*.f64 p (-.f64 p r))) (*.f64 (*.f64 r (-.f64 r p)) (*.f64 r (-.f64 r p)))) (-.f64 (*.f64 p (-.f64 p r)) (*.f64 r (-.f64 r p)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 p r) p) (*.f64 (-.f64 p r) p)) (*.f64 (*.f64 (-.f64 p r) (neg.f64 r)) (*.f64 (-.f64 p r) (neg.f64 r)))) (-.f64 (*.f64 (-.f64 p r) p) (*.f64 (-.f64 p r) (neg.f64 r)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 p (-.f64 p r)) #s(literal 3 binary64)) (pow.f64 (*.f64 r (-.f64 r p)) #s(literal 3 binary64))) (fma.f64 (*.f64 p (-.f64 p r)) (*.f64 p (-.f64 p r)) (-.f64 (*.f64 (*.f64 r (-.f64 r p)) (*.f64 r (-.f64 r p))) (*.f64 (*.f64 p (-.f64 p r)) (*.f64 r (-.f64 r p)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 p r) p) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 p r) (neg.f64 r)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 p r) p) (*.f64 (-.f64 p r) p) (-.f64 (*.f64 (*.f64 (-.f64 p r) (neg.f64 r)) (*.f64 (-.f64 p r) (neg.f64 r))) (*.f64 (*.f64 (-.f64 p r) p) (*.f64 (-.f64 p r) (neg.f64 r)))))) |
(/.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 r p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (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 r p) (*.f64 (-.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 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.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 (-.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 r p) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.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 (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 r p) (*.f64 (-.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 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.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 (-.f64 p r) (/.f64 #s(literal 1 binary64) (-.f64 p r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 r p) (*.f64 (+.f64 r p) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (*.f64 p p))) (*.f64 (+.f64 r p) (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (+.f64 r p)) (*.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 r p)) (-.f64 p r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 p (sqrt.f64 (-.f64 p r))) (sqrt.f64 (-.f64 p r)) (*.f64 r (-.f64 r p))) |
(fma.f64 (*.f64 (-.f64 p r) #s(literal -1 binary64)) r (*.f64 (-.f64 p r) p)) |
(fma.f64 (*.f64 (neg.f64 r) (sqrt.f64 (-.f64 p r))) (sqrt.f64 (-.f64 p r)) (*.f64 p (-.f64 p r))) |
(fma.f64 (*.f64 (neg.f64 r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) (*.f64 p (-.f64 p r))) |
(fma.f64 (*.f64 p (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) (*.f64 r (-.f64 r p))) |
(fma.f64 (*.f64 (neg.f64 r) (*.f64 (+.f64 r p) (-.f64 p r))) (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (*.f64 p (-.f64 p r))) |
(fma.f64 (*.f64 p (*.f64 (+.f64 r p) (-.f64 p r))) (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (*.f64 r (-.f64 r p))) |
(fma.f64 (sqrt.f64 (-.f64 p r)) (*.f64 (sqrt.f64 (-.f64 p r)) p) (*.f64 (-.f64 p r) (neg.f64 r))) |
(fma.f64 (sqrt.f64 (-.f64 p r)) (*.f64 (sqrt.f64 (-.f64 p r)) (neg.f64 r)) (*.f64 (-.f64 p r) p)) |
(fma.f64 #s(literal -1 binary64) (*.f64 r (-.f64 p r)) (*.f64 p (-.f64 p r))) |
(fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (*.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) p) (*.f64 (-.f64 p r) (neg.f64 r))) |
(fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (*.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (neg.f64 r)) (*.f64 (-.f64 p r) p)) |
(fma.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) p) (*.f64 (-.f64 p r) (neg.f64 r))) |
(fma.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal -1 binary64)) (neg.f64 r)) (*.f64 (-.f64 p r) p)) |
(fma.f64 (neg.f64 r) (-.f64 p r) (*.f64 p (-.f64 p r))) |
(fma.f64 (-.f64 p r) (neg.f64 r) (*.f64 (-.f64 p r) p)) |
(fma.f64 (-.f64 p r) p (*.f64 (-.f64 p r) (neg.f64 r))) |
(fma.f64 r (-.f64 r p) (*.f64 p (-.f64 p r))) |
(fma.f64 p (-.f64 p r) (*.f64 r (-.f64 r p))) |
(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 (*.f64 p (-.f64 p r)) (*.f64 r (-.f64 r p))) |
(+.f64 (*.f64 (-.f64 p r) (neg.f64 r)) (*.f64 (-.f64 p r) p)) |
(+.f64 (*.f64 (-.f64 p r) p) (*.f64 (-.f64 p r) (neg.f64 r))) |
(+.f64 (*.f64 r (-.f64 r p)) (*.f64 p (-.f64 p r))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) q) (sqrt.f64 q)) (sqrt.f64 q)) |
(*.f64 (*.f64 #s(literal 4 binary64) q) q) |
(*.f64 (sqrt.f64 q) (*.f64 (sqrt.f64 q) (*.f64 q #s(literal 4 binary64)))) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(*.f64 q (*.f64 q #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 q q)) |
Compiled 21 101 to 2 333 computations (88.9% saved)
28 alts after pruning (28 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 454 | 28 | 482 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 455 | 28 | 483 |
| Status | Accuracy | Program |
|---|---|---|
| 19.8% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 15.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 14.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))) | |
| 13.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 20.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r))))) | |
| 22.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) | |
| 18.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p (neg.f64 p))))) | |
| 17.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p)))) | |
| 19.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) | |
| 19.4% | (*.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 (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) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) r)) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) | |
| 26.8% | (*.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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r))) | |
| ▶ | 18.6% | (*.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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
| 16.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))) | |
| ▶ | 16.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
| 16.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) | |
| 34.8% | #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) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) | |
| 16.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))) | |
| 20.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 24.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 17.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) | |
| ▶ | 13.3% | #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 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
| 12.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q (fma.f64 q (/.f64 r p) q)) p)) p)))) | |
| 14.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) | |
| 2.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| 5.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) | |
| 5.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) | |
| ▶ | 2.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ▶ | 36.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
Compiled 2 364 to 1 552 computations (34.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| cost-diff | 1 | (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)) | |
| cost-diff | 0 | (*.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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 8 | (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) 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 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) | |
| cost-diff | 3 | (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) | |
| 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 | (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 606 |
| 0 | 99 | 606 |
| 1 | 190 | 606 |
| 2 | 472 | 606 |
| 3 | 1505 | 606 |
| 4 | 4128 | 578 |
| 0 | 8258 | 565 |
| 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)))))) (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) 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)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)) |
(*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r) |
(-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) |
(/.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
r |
(/.f64 (fabs.f64 p) r) |
(fabs.f64 p) |
p |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 p r) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/4 binary64) r) |
#s(literal -1/4 binary64) |
r |
(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) |
(neg.f64 p) |
(/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(fabs.f64 p) |
(sqrt.f64 (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)))))) (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) 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)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) 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)))))) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64) (*.f64 p #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64) (*.f64 p #s(literal 1/2 binary64))) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) 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) (fabs.f64 r)) r) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) |
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 r) |
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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (-.f64 r p))) #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) |
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)) |
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (-.f64 r p))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (-.f64 r p)) |
(-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) |
(+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) |
(/.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
r |
(/.f64 (fabs.f64 p) r) |
(fabs.f64 p) |
p |
(-.f64 #s(literal 1 binary64) (/.f64 p r)) |
(/.f64 p r) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #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 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/4 binary64)) r) |
(*.f64 #s(literal -1/4 binary64) r) |
#s(literal -1/4 binary64) |
r |
(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) |
(neg.f64 p) |
(/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 r) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 21.36232185500675 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| accuracy | 29.048469741743272 | (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) | |
| accuracy | 29.549297417643306 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) | |
| accuracy | 30.231867635935533 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 3.3010818814001865 | (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r) | |
| accuracy | 26.813986118047673 | (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) | |
| accuracy | 37.09506673332804 | #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)) | |
| accuracy | 3.7561165187211616 | (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 8.55812349526548 | (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 29.93881761073257 | (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) | |
| accuracy | 37.089917667836914 | #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 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) p) | |
| accuracy | 62.22101783870999 | #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 | (neg.f64 q) | |
| accuracy | 40.950079888843625 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 219.0ms | 189× | 2 | valid |
| 30.0ms | 27× | 3 | valid |
| 30.0ms | 37× | 1 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 534 to 58 computations (89.1% saved)
adjust: 51.0ms (23.2% of total)ival-sub: 43.0ms (19.6% of total)ival-mult: 41.0ms (18.7% of total)ival-add: 34.0ms (15.5% of total)ival-div: 23.0ms (10.5% of total)ival-sqrt: 13.0ms (5.9% of total)ival-pow2: 8.0ms (3.6% of total)ival-fabs: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) 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 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(neg.f64 p) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r) |
(/.f64 #s(literal 1 binary64) #s(literal 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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) |
| 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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 p) |
(* 1/2 (- (+ (fabs p) (fabs r)) r)) |
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r))) |
(* -1 p) |
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) |
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) |
(+ p (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(* -1/4 r) |
(+ (* -1/4 r) (* 1/16 (/ (* (pow p 2) r) (pow q 2)))) |
(+ (* -1/4 r) (* (pow p 2) (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2)))))) |
(+ (* -1/4 r) (* (pow p 2) (+ (* 1/16 (/ r (pow q 2))) (* (pow p 2) (+ (* -1/64 (/ r (pow q 4))) (* 1/256 (/ (* (pow p 2) r) (pow q 6)))))))) |
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q)))))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q)))))))) |
(* -1/8 (/ r q)) |
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q))))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q))))) |
(- (+ (fabs p) (fabs r)) r) |
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) |
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1) |
(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))))) |
(/ 1/2 q) |
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
1 |
(+ 1 (* -1/4 (/ (pow p 2) (pow q 2)))) |
(+ 1 (* (pow p 2) (- (* 1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
-1/2 |
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) |
p |
(* p (+ 1 (/ (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) p))) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* -1 (/ (* (pow q 2) r) (pow p 2))) |
(/ (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2)))) (pow p 2)) |
(/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2))))) (pow p 2)) |
(/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (+ (* 4 (/ (* (pow q 4) r) (pow p 2))) (* 64 (/ (* (pow q 8) r) (pow p 6)))))) (pow p 2)) |
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2)) |
1/2 |
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2)))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2))))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4)))))) |
(/ p r) |
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 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))))))) |
(/ 1 p) |
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p) |
(* 4 (/ (pow q 2) (pow p 2))) |
(/ (+ (* -16 (/ (pow q 4) (pow p 2))) (* 4 (pow q 2))) (pow p 2)) |
(/ (+ (* -16 (/ (pow q 4) (pow p 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow p 4))))) (pow p 2)) |
(/ (+ (* -256 (/ (pow q 8) (pow p 6))) (+ (* -16 (/ (pow q 4) (pow p 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow p 4)))))) (pow p 2)) |
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2))) |
(- (/ (pow q 2) (pow p 2)) 1/2) |
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2) |
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2) |
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r)))) |
(* -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 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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 (/ (+ (fabs p) (fabs r)) p)) 1/2))) |
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r)) |
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2) |
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2) |
(+ p (+ (fabs p) (fabs r))) |
(+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(* -1/4 (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (fabs p) (fabs r)) |
(+ (fabs p) (+ (fabs r) (* -1 r))) |
(/ (+ p (+ (fabs p) (fabs r))) r) |
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r) |
(* -1/2 r) |
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2)) |
(* 1/2 (/ r p)) |
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))) |
(* -1 r) |
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1/4 (* (* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 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)))) (pow r 2)))))) |
(* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* r (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
-1 |
(* 1/2 r) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)))) |
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))))) |
(* -1 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* -1 (/ (fabs p) r)) (* -1 (/ (fabs r) r))))))) |
r |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1))) |
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r))))) |
(- (* -1 (/ (+ (* -1 p) (+ (* -1 (fabs p)) (* -1 (fabs r)))) r)) 1) |
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* -1 q) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(- (+ r (+ (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)))))))) p) |
(* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* 4 (/ (* (pow q 2) r) (pow p 4))))) |
(* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* -16 (/ (* (pow q 2) r) (pow p 6))) (* 4 (/ r (pow p 4))))))) |
(* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* 4 (/ r (pow p 4))) (* (pow q 2) (+ (* -16 (/ r (pow p 6))) (* 64 (/ (* (pow q 2) r) (pow p 8))))))))) |
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p))))) |
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2))))) |
(+ 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))))) |
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p)) |
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 6))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -256 (/ (pow q 2) (pow p 8))) (* 64 (/ 1 (pow p 6))))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (* 1/16 (/ (* (pow p 2) r) (pow q 2))))) |
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/256 (/ (* (pow p 6) r) (pow q 6))) (* 1/16 (/ (* (pow p 2) r) (pow q 2)))))) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1)) |
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) 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))))))) |
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q) |
(+ 1 (+ (* -1/4 (/ (pow p 2) (pow q 2))) (* 1/16 (/ (pow p 4) (pow q 4))))) |
(+ 1 (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (* -1/64 (/ (pow p 6) (pow q 6))) (* 1/16 (/ (pow p 4) (pow q 4)))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) 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)))))))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | r | @ | inf | ((* (/ 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 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (- (+ (fabs r) (fabs p)) r) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) |
| 9.0ms | p | @ | -inf | ((* (/ 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 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (- (+ (fabs r) (fabs p)) r) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) |
| 8.0ms | p | @ | 0 | ((* (/ 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 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (- (+ (fabs r) (fabs p)) r) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) |
| 7.0ms | q | @ | 0 | ((* (/ 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 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (- (+ (fabs r) (fabs p)) r) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) |
| 6.0ms | r | @ | 0 | ((* (/ 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 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (- (+ (fabs r) (fabs p)) r) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1155 | 6299 |
| 1 | 3508 | 6002 |
| 0 | 8305 | 5621 |
| 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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 p) |
(* 1/2 (- (+ (fabs p) (fabs r)) r)) |
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r))) |
(* -1 p) |
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) |
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) |
(+ p (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(* -1/4 r) |
(+ (* -1/4 r) (* 1/16 (/ (* (pow p 2) r) (pow q 2)))) |
(+ (* -1/4 r) (* (pow p 2) (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2)))))) |
(+ (* -1/4 r) (* (pow p 2) (+ (* 1/16 (/ r (pow q 2))) (* (pow p 2) (+ (* -1/64 (/ r (pow q 4))) (* 1/256 (/ (* (pow p 2) r) (pow q 6)))))))) |
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q)))))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q)))))))) |
(* -1/8 (/ r q)) |
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q))))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q))))) |
(- (+ (fabs p) (fabs r)) r) |
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) |
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1) |
(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))))) |
(/ 1/2 q) |
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
1 |
(+ 1 (* -1/4 (/ (pow p 2) (pow q 2)))) |
(+ 1 (* (pow p 2) (- (* 1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
-1/2 |
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) |
p |
(* p (+ 1 (/ (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) p))) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* -1 (/ (* (pow q 2) r) (pow p 2))) |
(/ (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2)))) (pow p 2)) |
(/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2))))) (pow p 2)) |
(/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (+ (* 4 (/ (* (pow q 4) r) (pow p 2))) (* 64 (/ (* (pow q 8) r) (pow p 6)))))) (pow p 2)) |
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2)) |
1/2 |
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2)))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2))))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4)))))) |
(/ p r) |
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 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))))))) |
(/ 1 p) |
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p) |
(* 4 (/ (pow q 2) (pow p 2))) |
(/ (+ (* -16 (/ (pow q 4) (pow p 2))) (* 4 (pow q 2))) (pow p 2)) |
(/ (+ (* -16 (/ (pow q 4) (pow p 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow p 4))))) (pow p 2)) |
(/ (+ (* -256 (/ (pow q 8) (pow p 6))) (+ (* -16 (/ (pow q 4) (pow p 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow p 4)))))) (pow p 2)) |
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2))) |
(- (/ (pow q 2) (pow p 2)) 1/2) |
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2) |
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2) |
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r)))) |
(* -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 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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 (/ (+ (fabs p) (fabs r)) p)) 1/2))) |
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r)) |
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2) |
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2) |
(+ p (+ (fabs p) (fabs r))) |
(+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(* -1/4 (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (fabs p) (fabs r)) |
(+ (fabs p) (+ (fabs r) (* -1 r))) |
(/ (+ p (+ (fabs p) (fabs r))) r) |
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r) |
(* -1/2 r) |
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2)) |
(* 1/2 (/ r p)) |
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))) |
(* -1 r) |
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1/4 (* (* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 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)))) (pow r 2)))))) |
(* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* r (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
-1 |
(* 1/2 r) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)))) |
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))))) |
(* -1 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* -1 (/ (fabs p) r)) (* -1 (/ (fabs r) r))))))) |
r |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1))) |
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r))))) |
(- (* -1 (/ (+ (* -1 p) (+ (* -1 (fabs p)) (* -1 (fabs r)))) r)) 1) |
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* -1 q) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(- (+ r (+ (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)))))))) p) |
(* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* 4 (/ (* (pow q 2) r) (pow p 4))))) |
(* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* -16 (/ (* (pow q 2) r) (pow p 6))) (* 4 (/ r (pow p 4))))))) |
(* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* 4 (/ r (pow p 4))) (* (pow q 2) (+ (* -16 (/ r (pow p 6))) (* 64 (/ (* (pow q 2) r) (pow p 8))))))))) |
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p))))) |
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2))))) |
(+ 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))))) |
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p)) |
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 6))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -256 (/ (pow q 2) (pow p 8))) (* 64 (/ 1 (pow p 6))))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (* 1/16 (/ (* (pow p 2) r) (pow q 2))))) |
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/256 (/ (* (pow p 6) r) (pow q 6))) (* 1/16 (/ (* (pow p 2) r) (pow q 2)))))) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1)) |
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) 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))))))) |
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q) |
(+ 1 (+ (* -1/4 (/ (pow p 2) (pow q 2))) (* 1/16 (/ (pow p 4) (pow q 4))))) |
(+ 1 (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (* -1/64 (/ (pow p 6) (pow q 6))) (* 1/16 (/ (pow p 4) (pow q 4)))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) 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)))))))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)) |
| Outputs |
|---|
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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) (fma.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 (*.f64 r p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))) |
(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(* 1/2 (- (+ (fabs p) (fabs r)) r)) |
(*.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) |
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
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(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 p p))) (neg.f64 q))) (neg.f64 q)) q (neg.f64 q))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 p p) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) r) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (fma.f64 (*.f64 (/.f64 (*.f64 p p) q) (/.f64 (*.f64 r r) q)) #s(literal 1/32 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64)))))) q)) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q)) |
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))) (neg.f64 q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))) (neg.f64 q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 (*.f64 p p) (/.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 6 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q))) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64)))) #s(literal 3/1024 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))))) (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 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q)) |
(/ -1/2 q) |
(/.f64 #s(literal -1/2 binary64) q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) (/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 443 |
| 0 | 99 | 443 |
| 1 | 426 | 436 |
| 2 | 3784 | 432 |
| 0 | 8541 | 426 |
| 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)))))) (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) p)) |
(*.f64 #s(literal -1/2 binary64) p) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) 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 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(neg.f64 p) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r) |
(/.f64 #s(literal 1 binary64) #s(literal 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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
(*.f64 #s(literal -1 binary64) q) |
(*.f64 q #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))) |
(neg.f64 q) |
(-.f64 #s(literal 0 binary64) q) |
(+.f64 #s(literal 0 binary64) (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)) |
(*.f64 #s(literal -1/2 binary64) p) |
(*.f64 p #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) p) |
(*.f64 (*.f64 (neg.f64 p) (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64)) (*.f64 p #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p)) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 p (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (neg.f64 p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (neg.f64 p)) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))) (-.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (*.f64 p #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 p #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (*.f64 p #s(literal 1/2 binary64)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p)) |
(fma.f64 (*.f64 (neg.f64 p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal -1/2 binary64) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) #s(literal -1 binary64)) p (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64))) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) p) (*.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) (neg.f64 p) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (*.f64 p #s(literal 1/2 binary64)) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 p) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) (*.f64 p #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 p) #s(literal -1/2 binary64) (*.f64 (*.f64 p #s(literal 1/2 binary64)) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (neg.f64 p)) (*.f64 p #s(literal 1/2 binary64))) |
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(fma.f64 p (neg.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal 2 binary64)) (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p)) |
(+.f64 (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p))) |
Compiled 44 774 to 3 550 computations (92.1% saved)
44 alts after pruning (42 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 593 | 26 | 619 |
| Fresh | 7 | 16 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 603 | 44 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 15.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 14.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))) | |
| 13.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 20.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r))))) | |
| 22.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) | |
| 18.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p (neg.f64 p))))) | |
| 1.7% | (*.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 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (pow.f64 (fabs.f64 r) #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 (fabs.f64 p) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r))) | |
| 26.8% | (*.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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r))) | |
| 7.4% | (*.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(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 p r)) r))) | |
| 5.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (+.f64 (/.f64 (fabs.f64 p) r) #s(literal -1 binary64))) r p)))) | |
| 18.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) | |
| 4.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 16.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 14.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 15.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 14.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 14.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))) (neg.f64 q))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| ▶ | 15.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
| 15.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 16.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| ▶ | 18.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
| 20.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| 9.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r)) (pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) #s(literal 2 binary64))))) | |
| 15.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))) | |
| ▶ | 34.8% | #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) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
| 16.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))) | |
| 20.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 24.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 17.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) | |
| 9.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 #s(approx (- (+ (fabs r) (fabs p)) r) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) (neg.f64 r))) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) | |
| 6.2% | #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 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)))) | |
| 31.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)))) | |
| ▶ | 14.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) |
| 7.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))) | |
| 13.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))) | |
| 2.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| 5.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) | |
| ▶ | 5.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) |
| ✓ | 2.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 36.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 30.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 r (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) (*.f64 q q)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (*.f64 p p) q) #s(literal -1 binary64))) q))) | |
| 3.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) (*.f64 r r)))) | |
| 32.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) | |
| 32.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
Compiled 5 481 to 3 249 computations (40.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| cost-diff | 1 | (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) | |
| cost-diff | 2 | (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)) | |
| 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) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) | |
| cost-diff | 4 | (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) | |
| 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 | (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1030 |
| 0 | 121 | 1030 |
| 1 | 226 | 1024 |
| 2 | 524 | 1024 |
| 3 | 1533 | 1016 |
| 4 | 3421 | 1006 |
| 5 | 7432 | 1006 |
| 0 | 8228 | 974 |
| 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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 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 |
q |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#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)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) |
(neg.f64 p) |
p |
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p) |
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 q q) p) |
(*.f64 q q) |
q |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) |
(fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) |
#s(literal -1/4 binary64) |
r |
(*.f64 #s(literal 1/2 binary64) p) |
#s(literal 1/2 binary64) |
p |
q |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(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)) |
(*.f64 q q) |
#s(literal 4 binary64) |
(*.f64 p p) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
(fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 p r) |
r |
(fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) |
(/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(neg.f64 (*.f64 p p)) |
#s(literal -1/4 binary64) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(fabs.f64 p) |
(sqrt.f64 (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)))))) (*.f64 (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)))))) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) (neg.f64 q))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) |
(fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) (neg.f64 q)) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) q) (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 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 |
q |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#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)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 p #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) q (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) |
(fma.f64 p #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) q (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))) |
(neg.f64 p) |
p |
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 q p) q (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64))) p)) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p) |
(/.f64 (fma.f64 (/.f64 q p) q (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64))) p) |
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) |
(fma.f64 (/.f64 q p) q (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1/2 binary64))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 q q) p) |
(*.f64 q q) |
q |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 p #s(literal 1/2 binary64))) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 p #s(literal 1/2 binary64))) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 p #s(literal 1/2 binary64))) q) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 p #s(literal 1/2 binary64))) q) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 p #s(literal 1/2 binary64))) q) |
(fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 #s(literal -1/4 binary64) r (*.f64 p #s(literal 1/2 binary64))) |
#s(literal -1/4 binary64) |
r |
(*.f64 #s(literal 1/2 binary64) p) |
(*.f64 p #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
p |
q |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 r) |
(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)) |
(*.f64 q q) |
#s(literal 4 binary64) |
(*.f64 p p) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1/2 binary64)) p (*.f64 #s(literal -1/4 binary64) r)))) r (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1/2 binary64)) p (*.f64 #s(literal -1/4 binary64) r)))) r (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1/2 binary64)) p (*.f64 #s(literal -1/4 binary64) r)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) p) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1/2 binary64)) p (*.f64 #s(literal -1/4 binary64) r))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p (/.f64 #s(literal 1/2 binary64) r)) p #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
(fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p (/.f64 #s(literal 1/2 binary64) r)) p #s(literal -1/4 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 p r) |
r |
(fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (*.f64 p p) #s(literal -1/4 binary64)) |
(/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p)) |
(neg.f64 (*.f64 p p)) |
(*.f64 (neg.f64 p) p) |
#s(literal -1/4 binary64) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (fabs.f64 r) (fabs.f64 p)) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 r) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 21.36232185500675 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| accuracy | 23.1792169097754 | (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) | |
| accuracy | 29.549297417643306 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) | |
| accuracy | 30.231867635935533 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) | |
| accuracy | 18.13895034964085 | (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) | |
| accuracy | 21.36232185500675 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) | |
| accuracy | 29.689706661290177 | #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) | |
| accuracy | 30.231867635935533 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) | |
| accuracy | 7.135207246986776 | (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) | |
| accuracy | 12.514281847962554 | (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)) | |
| accuracy | 29.93881761073257 | (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) | |
| accuracy | 34.612540854852625 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) r) | |
| accuracy | 60.571391226980175 | #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 | (fabs.f64 r) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 13.54529244645755 | (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) | |
| accuracy | 41.64308339404356 | #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) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
| 199.0ms | 113× | 2 | valid |
| 94.0ms | 82× | 1 | valid |
| 29.0ms | 9× | 3 | valid |
| 22.0ms | 52× | 0 | valid |
Compiled 797 to 69 computations (91.3% saved)
ival-div: 66.0ms (25.5% of total)adjust: 56.0ms (21.6% of total)ival-mult: 55.0ms (21.2% of total)ival-add: 44.0ms (17% of total)ival-sqrt: 12.0ms (4.6% of total)ival-sub: 12.0ms (4.6% of total)ival-pow2: 8.0ms (3.1% of total)ival-fabs: 2.0ms (0.8% of total)ival-neg: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (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)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 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 #s(literal -1/2 binary64) r)) |
(*.f64 #s(literal -1/2 binary64) r) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) |
(neg.f64 p) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(fabs.f64 p) |
(fabs.f64 r) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
| Outputs |
|---|
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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 (/ (+ (fabs p) (fabs r)) q)) 1) |
(/ (+ (fabs p) (fabs r)) q) |
(/ (pow q 2) p) |
(/ (+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) p) |
(/ (+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) p) |
(* -1 p) |
(* -1 (/ (pow q 2) (pow p 2))) |
(/ (- (* -1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) (pow p 2)) |
(/ (- (* p (- (* -1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) (pow p 2)) |
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q)))))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q)))))))) |
(* -1/8 (/ r q)) |
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q))))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q))))) |
-1/4 |
(- (* 1/2 (/ p r)) 1/4) |
(- (* p (+ (* 1/16 (/ p (pow q 2))) (* 1/2 (/ 1 r)))) 1/4) |
(- (* p (+ (* p (+ (* -1/64 (/ (pow p 2) (pow q 4))) (* 1/16 (/ 1 (pow q 2))))) (* 1/2 (/ 1 r)))) 1/4) |
(- (* 1/16 (/ (pow p 2) (pow q 2))) 1/4) |
(- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 4))) (* 1/16 (/ 1 (pow q 2))))) 1/4) |
(- (* (pow p 2) (+ (* (pow p 2) (- (* 1/256 (/ (pow p 2) (pow q 6))) (* 1/64 (/ 1 (pow q 4))))) (* 1/16 (/ 1 (pow q 2))))) 1/4) |
(fabs p) |
(- (+ (fabs p) (fabs r)) r) |
(* 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))))) |
(- (+ (fabs p) (fabs r)) (* 2 q)) |
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q)) |
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q)) |
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q)) |
(/ 1/2 q) |
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(* -1/4 (/ (pow p 2) (pow q 2))) |
(* (pow p 2) (- (* 1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 1/256 (/ (pow p 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (/ (pow q 2) (pow p 2))))) |
-1/2 |
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) |
(- (* -1 (/ (pow q 2) (pow p 2))) (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2)) |
1/2 |
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2)))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2))))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4)))))) |
(* 1/4 (/ p q)) |
(* p (+ (* -1/8 (/ r (* p q))) (* 1/4 (/ 1 q)))) |
(* 1/2 (/ p r)) |
(* p (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ 1 r)))) |
(* p (+ (* -1 (/ (pow q 2) (pow p 3))) (+ (* 4 (/ (pow q 4) (pow p 5))) (* 1/2 (/ 1 r))))) |
(* p (+ (* -16 (/ (pow q 6) (pow p 7))) (+ (* -1 (/ (pow q 2) (pow p 3))) (+ (* 4 (/ (pow q 4) (pow p 5))) (* 1/2 (/ 1 r)))))) |
(/ (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2)))) (pow p 2)) |
(/ (+ (* -16 (/ (pow q 6) (pow p 4))) (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2))))) (pow p 2)) |
(/ (+ (* -16 (/ (pow q 6) (pow p 4))) (+ (* -1 (pow q 2)) (+ (* 4 (/ (pow q 4) (pow p 2))) (* 64 (/ (pow q 8) (pow p 6)))))) (pow p 2)) |
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))))))) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1)) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1)) |
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(/ 1 p) |
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p) |
-1 |
(- (* 4 (/ (pow q 2) (pow p 2))) 1) |
(- (* -16 (/ (pow q 4) (pow p 4))) (+ 1 (* -4 (/ (pow q 2) (pow p 2))))) |
(- (* 64 (/ (pow q 6) (pow p 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow p 2))) (* 16 (/ (pow q 4) (pow p 4)))))) |
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(- (* -1 (/ (- (/ (pow q 2) p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2))) |
(- (/ (pow q 2) (pow p 2)) 1/2) |
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2) |
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2) |
(* -1 (* p (- (* 1/8 (/ r (* p q))) (* 1/4 (/ 1 q))))) |
(* -1 (* p (- (/ (pow q 2) (pow p 3)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2)))) (pow p 3))) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (* -1 (/ (+ (* -16 (/ (pow q 6) (pow p 4))) (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2))))) (pow p 3))) (* 1/2 (/ 1 r))))) |
(* -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 (/ (+ (fabs p) (fabs r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1))) |
(/ -1 p) |
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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 r) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(+ (* -1/2 r) (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
(* -1 (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(- (* 1/2 (/ r p)) (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(/ (+ (* 1/2 p) (* r (- (* 1/4 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) 1/4))) r) |
(fabs r) |
(+ (fabs p) (fabs r)) |
(+ (fabs p) (+ (fabs r) (* -1 r))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* r (- (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r) 1/2)) |
(* 1/2 (/ r p)) |
(* r (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2)))) r)) (* 1/2 (/ 1 p)))) |
(* -1/4 (* (* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 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)))) (pow r 2)))))) |
(* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* r (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* r (- (* 1/4 (/ p (* q r))) (* 1/8 (/ 1 q)))) |
(- (* 1/4 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) 1/4) |
(- (+ (* 1/4 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (* 1/2 (/ p r))) 1/4) |
(* -1 r) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) |
(* 1/2 r) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r))))) |
(* -1 (* r (- (+ (* 1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (+ (* 1/2 (/ 1 r)) (/ (pow q 2) (* (pow p 2) r)))) (* 1/2 (/ 1 p))))) |
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* -1 (* r (+ (* -1/4 (/ p (* q r))) (* 1/8 (/ 1 q))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r))))) |
(* 1/2 (+ (fabs p) (fabs r))) |
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) |
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (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)) q)) |
(/ (+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) q) |
(+ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (/ (pow q 2) p)) |
(* -1 (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p))))) |
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2))))) |
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ p r))) |
(+ (* 1/2 (/ p r)) (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 4))) (/ 1 (pow p 2))))) |
(+ (* 1/2 (/ p r)) (* (pow q 2) (- (* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 6))) (* 4 (/ 1 (pow p 4))))) (/ 1 (pow p 2))))) |
(* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 4))) (/ 1 (pow p 2)))) |
(* (pow q 2) (- (* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 6))) (* 4 (/ 1 (pow p 4))))) (/ 1 (pow p 2)))) |
(* (pow q 2) (- (* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 8))) (* 16 (/ 1 (pow p 6))))) (* 4 (/ 1 (pow p 4))))) (/ 1 (pow p 2)))) |
(+ 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))))) |
(- (+ (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) |
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p)) |
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(- (* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))) 1) |
(- (* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 6))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))) 1) |
(* -1 q) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* (pow q 2) (+ (/ 1 p) (/ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (pow q 2)))) |
(* (pow q 2) (- (* -1 (/ (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))) (pow q 2))) (/ 1 (pow p 2)))) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1)) |
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q) |
(- (+ (* 1/16 (/ (pow p 2) (pow q 2))) (* 1/2 (/ p r))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/16 (/ (pow p 2) (pow q 2))) (* 1/2 (/ p r)))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/256 (/ (pow p 6) (pow q 6))) (+ (* 1/16 (/ (pow p 2) (pow q 2))) (* 1/2 (/ p r))))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/16 (/ (pow p 2) (pow q 2)))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/256 (/ (pow p 6) (pow q 6))) (* 1/16 (/ (pow p 2) (pow q 2))))) 1/4) |
(* 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))))))) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q) |
(/ (+ (* -1/4 (pow p 2)) (* 1/16 (/ (pow p 4) (pow q 2)))) (pow q 2)) |
(/ (+ (* -1/4 (pow p 2)) (+ (* -1/64 (/ (pow p 6) (pow q 4))) (* 1/16 (/ (pow p 4) (pow q 2))))) (pow q 2)) |
(/ (+ (* -1/4 (pow p 2)) (+ (* -1/64 (/ (pow p 6) (pow q 4))) (+ (* 1/256 (/ (pow p 8) (pow q 6))) (* 1/16 (/ (pow p 4) (pow q 2)))))) (pow q 2)) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) 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)))))))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | q | @ | inf | ((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (* (/ (+ (* -1/4 r) (* 1/2 p)) q) 1/2) (+ (* 1/2 (/ p r)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (neg (* p p)) (+ (* (* q q) 4) (* p p)))) |
| 6.0ms | r | @ | 0 | ((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (* (/ (+ (* -1/4 r) (* 1/2 p)) q) 1/2) (+ (* 1/2 (/ p r)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (neg (* p p)) (+ (* (* q q) 4) (* p p)))) |
| 5.0ms | r | @ | inf | ((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (* (/ (+ (* -1/4 r) (* 1/2 p)) q) 1/2) (+ (* 1/2 (/ p r)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (neg (* p p)) (+ (* (* q q) 4) (* p p)))) |
| 5.0ms | r | @ | -inf | ((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (* (/ (+ (* -1/4 r) (* 1/2 p)) q) 1/2) (+ (* 1/2 (/ p r)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (neg (* p p)) (+ (* (* q q) 4) (* p p)))) |
| 4.0ms | q | @ | 0 | ((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (* (/ (+ (* -1/4 r) (* 1/2 p)) q) 1/2) (+ (* 1/2 (/ p r)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4)) (+ (* (/ (neg (* p p)) (+ (* (* q q) 4) (* p p))) -1/4) -1/4) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (neg (* p p)) (+ (* (* q q) 4) (* p p)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1139 | 6253 |
| 1 | 3440 | 5997 |
| 0 | 8140 | 5599 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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 (/ (+ (fabs p) (fabs r)) q)) 1) |
(/ (+ (fabs p) (fabs r)) q) |
(/ (pow q 2) p) |
(/ (+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) p) |
(/ (+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) p) |
(* -1 p) |
(* -1 (/ (pow q 2) (pow p 2))) |
(/ (- (* -1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) (pow p 2)) |
(/ (- (* p (- (* -1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) (pow p 2)) |
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q)))))))) |
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q)))))))) |
(* -1/8 (/ r q)) |
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q))))) |
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q))))) |
-1/4 |
(- (* 1/2 (/ p r)) 1/4) |
(- (* p (+ (* 1/16 (/ p (pow q 2))) (* 1/2 (/ 1 r)))) 1/4) |
(- (* p (+ (* p (+ (* -1/64 (/ (pow p 2) (pow q 4))) (* 1/16 (/ 1 (pow q 2))))) (* 1/2 (/ 1 r)))) 1/4) |
(- (* 1/16 (/ (pow p 2) (pow q 2))) 1/4) |
(- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 4))) (* 1/16 (/ 1 (pow q 2))))) 1/4) |
(- (* (pow p 2) (+ (* (pow p 2) (- (* 1/256 (/ (pow p 2) (pow q 6))) (* 1/64 (/ 1 (pow q 4))))) (* 1/16 (/ 1 (pow q 2))))) 1/4) |
(fabs p) |
(- (+ (fabs p) (fabs r)) r) |
(* 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))))) |
(- (+ (fabs p) (fabs r)) (* 2 q)) |
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q)) |
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q)) |
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q)) |
(/ 1/2 q) |
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(* -1/4 (/ (pow p 2) (pow q 2))) |
(* (pow p 2) (- (* 1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 1/256 (/ (pow p 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* 1/2 p) |
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (/ (pow q 2) (pow p 2))))) |
-1/2 |
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) |
(- (* -1 (/ (pow q 2) (pow p 2))) (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2)) |
1/2 |
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2)))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2))))) |
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4)))))) |
(* 1/4 (/ p q)) |
(* p (+ (* -1/8 (/ r (* p q))) (* 1/4 (/ 1 q)))) |
(* 1/2 (/ p r)) |
(* p (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ 1 r)))) |
(* p (+ (* -1 (/ (pow q 2) (pow p 3))) (+ (* 4 (/ (pow q 4) (pow p 5))) (* 1/2 (/ 1 r))))) |
(* p (+ (* -16 (/ (pow q 6) (pow p 7))) (+ (* -1 (/ (pow q 2) (pow p 3))) (+ (* 4 (/ (pow q 4) (pow p 5))) (* 1/2 (/ 1 r)))))) |
(/ (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2)))) (pow p 2)) |
(/ (+ (* -16 (/ (pow q 6) (pow p 4))) (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2))))) (pow p 2)) |
(/ (+ (* -16 (/ (pow q 6) (pow p 4))) (+ (* -1 (pow q 2)) (+ (* 4 (/ (pow q 4) (pow p 2))) (* 64 (/ (pow q 8) (pow p 6)))))) (pow p 2)) |
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))))))) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1)) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1)) |
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))) |
(/ 1 p) |
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p) |
-1 |
(- (* 4 (/ (pow q 2) (pow p 2))) 1) |
(- (* -16 (/ (pow q 4) (pow p 4))) (+ 1 (* -4 (/ (pow q 2) (pow p 2))))) |
(- (* 64 (/ (pow q 6) (pow p 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow p 2))) (* 16 (/ (pow q 4) (pow p 4)))))) |
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(- (* -1 (/ (- (/ (pow q 2) p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2))) |
(- (/ (pow q 2) (pow p 2)) 1/2) |
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2) |
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2) |
(* -1 (* p (- (* 1/8 (/ r (* p q))) (* 1/4 (/ 1 q))))) |
(* -1 (* p (- (/ (pow q 2) (pow p 3)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2)))) (pow p 3))) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (* -1 (/ (+ (* -16 (/ (pow q 6) (pow p 4))) (+ (* -1 (pow q 2)) (* 4 (/ (pow q 4) (pow p 2))))) (pow p 3))) (* 1/2 (/ 1 r))))) |
(* -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 (/ (+ (fabs p) (fabs r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1))) |
(/ -1 p) |
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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 r) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(+ (* -1/2 r) (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
(* -1 (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(- (* 1/2 (/ r p)) (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(/ (+ (* 1/2 p) (* r (- (* 1/4 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) 1/4))) r) |
(fabs r) |
(+ (fabs p) (fabs r)) |
(+ (fabs p) (+ (fabs r) (* -1 r))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* r (- (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r) 1/2)) |
(* 1/2 (/ r p)) |
(* r (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2)))) r)) (* 1/2 (/ 1 p)))) |
(* -1/4 (* (* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* (pow r 2) (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 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)))) (pow r 2)))))) |
(* -1/4 (* (* r (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) |
(* r (+ (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* r (- (* 1/4 (/ p (* q r))) (* 1/8 (/ 1 q)))) |
(- (* 1/4 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) 1/4) |
(- (+ (* 1/4 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (* 1/2 (/ p r))) 1/4) |
(* -1 r) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) |
(* 1/2 r) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r))))) |
(* -1 (* r (- (+ (* 1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (+ (* 1/2 (/ 1 r)) (/ (pow q 2) (* (pow p 2) r)))) (* 1/2 (/ 1 p))))) |
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (+ 1 (* -1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(* -1 (* r (+ (* -1/4 (/ p (* q r))) (* 1/8 (/ 1 q))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r))))) |
(* 1/2 (+ (fabs p) (fabs r))) |
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) |
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (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)) q)) |
(/ (+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) q) |
(+ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (/ (pow q 2) p)) |
(* -1 (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p))))) |
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p))))) |
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2))))) |
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2))))) |
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ p r))) |
(+ (* 1/2 (/ p r)) (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 4))) (/ 1 (pow p 2))))) |
(+ (* 1/2 (/ p r)) (* (pow q 2) (- (* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 6))) (* 4 (/ 1 (pow p 4))))) (/ 1 (pow p 2))))) |
(* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 4))) (/ 1 (pow p 2)))) |
(* (pow q 2) (- (* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 6))) (* 4 (/ 1 (pow p 4))))) (/ 1 (pow p 2)))) |
(* (pow q 2) (- (* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 8))) (* 16 (/ 1 (pow p 6))))) (* 4 (/ 1 (pow p 4))))) (/ 1 (pow p 2)))) |
(+ 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))))) |
(- (+ (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) |
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p)) |
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p)) |
(- (* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))) 1) |
(- (* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 6))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))) 1) |
(* -1 q) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* (pow q 2) (+ (/ 1 p) (/ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (pow q 2)))) |
(* (pow q 2) (- (* -1 (/ (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))) (pow q 2))) (/ 1 (pow p 2)))) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1)) |
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q) |
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q) |
(- (+ (* 1/16 (/ (pow p 2) (pow q 2))) (* 1/2 (/ p r))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/16 (/ (pow p 2) (pow q 2))) (* 1/2 (/ p r)))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/256 (/ (pow p 6) (pow q 6))) (+ (* 1/16 (/ (pow p 2) (pow q 2))) (* 1/2 (/ p r))))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/16 (/ (pow p 2) (pow q 2)))) 1/4) |
(- (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/256 (/ (pow p 6) (pow q 6))) (* 1/16 (/ (pow p 2) (pow q 2))))) 1/4) |
(* 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))))))) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q) |
(/ (+ (* -1/4 (pow p 2)) (* 1/16 (/ (pow p 4) (pow q 2)))) (pow q 2)) |
(/ (+ (* -1/4 (pow p 2)) (+ (* -1/64 (/ (pow p 6) (pow q 4))) (* 1/16 (/ (pow p 4) (pow q 2))))) (pow q 2)) |
(/ (+ (* -1/4 (pow p 2)) (+ (* -1/64 (/ (pow p 6) (pow q 4))) (+ (* 1/256 (/ (pow p 8) (pow q 6))) (* 1/16 (/ (pow p 4) (pow q 2)))))) (pow q 2)) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) 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)))))))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)) |
| Outputs |
|---|
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
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(/.f64 (fma.f64 (*.f64 p p) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/256 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 4 binary64)))))) (*.f64 q q)) |
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1 binary64)) (neg.f64 q)) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(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 (neg.f64 q))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 p p))) (neg.f64 q))) (neg.f64 q)) q (neg.f64 q))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 p p) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 p p) r) q) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (fma.f64 (*.f64 (/.f64 (*.f64 p p) q) (/.f64 (*.f64 r r) q)) #s(literal 1/32 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64)))))) q)) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q)) |
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))) (neg.f64 q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))) (neg.f64 q)) |
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 (*.f64 p p) (/.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 6 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q))) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64)))) #s(literal 3/1024 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))))) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) 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 (*.f64 p p) q) (/.f64 #s(literal 1/4 binary64) 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 (*.f64 p p) q) (/.f64 #s(literal 1/4 binary64) 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)))) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 p p) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (*.f64 (*.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q)) |
(/ -1/2 q) |
(/.f64 #s(literal -1/2 binary64) q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) (/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 p q) (/.f64 p q)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 676 |
| 0 | 121 | 676 |
| 1 | 507 | 656 |
| 2 | 4286 | 656 |
| 0 | 8645 | 646 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (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)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 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 #s(literal -1/2 binary64) r)) |
(*.f64 #s(literal -1/2 binary64) r) |
(*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)))) |
(neg.f64 p) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(fabs.f64 p) |
(fabs.f64 r) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (neg.f64 (*.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 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1 binary64)) q) |
(*.f64 q (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) q) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) q) (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 q (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1 binary64))) |
(/.f64 (*.f64 q (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) q (neg.f64 q)) |
(fma.f64 #s(literal -1 binary64) q (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) q)) |
(fma.f64 q (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (*.f64 q #s(literal -1 binary64))) |
(fma.f64 q #s(literal -1 binary64) (*.f64 q (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) q) (neg.f64 q)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 3/2 binary64))))) |
(fma.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(fma.f64 (*.f64 (+.f64 p r) (-.f64 p r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 r r (*.f64 p p)) (fabs.f64 (*.f64 p r))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 p r))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (+.f64 (fabs.f64 r) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (/.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))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r)) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (+.f64 (fabs.f64 p) (fabs.f64 r))) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) |
(+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 p) p)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.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 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.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))))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/2 binary64)) (pow.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))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -2 binary64)) #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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64)) #s(literal 1/2 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.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 -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 p) p) (-.f64 (*.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 (neg.f64 p) p))) |
(*.f64 (/.f64 (*.f64 (neg.f64 p) p) (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 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 (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1 binary64)) p) |
(*.f64 (*.f64 (*.f64 (neg.f64 p) p) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 p) p) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64)) (*.f64 (neg.f64 p) p)) |
(*.f64 (*.f64 (neg.f64 p) p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64))) |
(*.f64 (*.f64 p p) (pow.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p)) #s(literal 1 binary64)) |
(*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (*.f64 (neg.f64 p) #s(literal 1 binary64))) |
(*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p)) |
(*.f64 (neg.f64 p) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p))) |
(*.f64 #s(literal -1 binary64) (/.f64 p (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p))) |
(*.f64 p (*.f64 (neg.f64 p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64)))) |
(*.f64 p (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1 binary64)) (neg.f64 p))) |
(*.f64 p (/.f64 (neg.f64 p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(*.f64 p (neg.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p) (neg.f64 p)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p) (neg.f64 p)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 p p) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 p)) (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p)) |
(/.f64 (*.f64 (*.f64 (neg.f64 p) p) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (*.f64 (neg.f64 p) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p)) |
(/.f64 (*.f64 (*.f64 (neg.f64 p) p) #s(literal 1 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(/.f64 (*.f64 (neg.f64 p) p) (neg.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(/.f64 (*.f64 (neg.f64 p) p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(/.f64 (*.f64 p p) (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(/.f64 (neg.f64 p) (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p) (neg.f64 p)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p) (neg.f64 p))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p) (neg.f64 p)))) |
(neg.f64 (*.f64 (/.f64 p (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 p (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (/.f64 p (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p))) |
(-.f64 #s(literal 0 binary64) (/.f64 p (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) p) (neg.f64 p))) #s(literal -1 binary64))) |
Compiled 76 421 to 4 297 computations (94.4% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 728 | 10 | 738 |
| Fresh | 27 | 10 | 37 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 759 | 23 | 782 |
| Status | Accuracy | Program |
|---|---|---|
| 13.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| ▶ | 22.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
| 26.8% | (*.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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r))) | |
| 7.4% | (*.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(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 p r)) r))) | |
| 2.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) #s(literal 1/2 binary64)))) | |
| 31.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (-.f64 (fma.f64 (/.f64 (*.f64 p p) q) #s(literal -1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64)))) | |
| ▶ | 31.4% | #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 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) |
| 20.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 24.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 17.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) | |
| 19.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p))))) | |
| 7.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))) | |
| 2.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| ▶ | 5.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) |
| ✓ | 5.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) |
| ✓ | 2.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 36.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 34.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))) | |
| ▶ | 35.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
| 29.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) | |
| 27.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)))) | |
| 32.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) | |
| ▶ | 32.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
Compiled 2 175 to 1 440 computations (33.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) | |
| cost-diff | 2 | (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r) | |
| cost-diff | 0 | (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) | |
| cost-diff | 0 | #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) p) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p) | |
| cost-diff | 0 | #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) 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) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 502 |
| 0 | 90 | 495 |
| 1 | 174 | 493 |
| 2 | 370 | 493 |
| 3 | 1043 | 491 |
| 4 | 3613 | 476 |
| 5 | 7879 | 476 |
| 0 | 8987 | 464 |
| 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) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
#s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
#s(literal 1/2 binary64) |
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) |
(+.f64 p (-.f64 (fabs.f64 r) r)) |
p |
(-.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
(*.f64 q 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) 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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
#s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
#s(literal 1/2 binary64) |
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) |
(+.f64 p (-.f64 (fabs.f64 r) r)) |
p |
(-.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) |
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) |
(fabs.f64 r) |
r |
(+.f64 (fabs.f64 p) p) |
(fabs.f64 p) |
p |
#s(literal 1/2 binary64) |
#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 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 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 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 p) |
p |
(fabs.f64 r) |
r |
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(-.f64 p r) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) p))) |
#s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p)) |
#s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) p)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p) |
(/.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) p) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) |
(fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) |
(-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) |
(+.f64 p (-.f64 (fabs.f64 r) r)) |
(+.f64 (-.f64 (fabs.f64 r) r) p) |
p |
(-.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
(*.f64 q 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) p)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) p) |
(*.f64 p #s(literal 1/2 binary64)) |
#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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64)))) |
#s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) |
#s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) |
(-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) |
(+.f64 p (-.f64 (fabs.f64 r) r)) |
(+.f64 (-.f64 (fabs.f64 r) r) p) |
p |
(-.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
r |
(fabs.f64 p) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) 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 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) |
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) |
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(fabs.f64 r) |
r |
(+.f64 (fabs.f64 p) p) |
(fabs.f64 p) |
p |
#s(literal 1/2 binary64) |
#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 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #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 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(+.f64 (fabs.f64 p) (fabs.f64 r)) |
(fabs.f64 p) |
p |
(fabs.f64 r) |
r |
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(-.f64 p r) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 q q) #s(literal 4 binary64)) | |
| accuracy | 29.433260812349648 | (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) | |
| accuracy | 36.626577828525946 | (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) | |
| accuracy | 3.3006928344681503 | (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r) | |
| accuracy | 9.933536962820131 | (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 37.089917667836914 | #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 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) | |
| accuracy | 0.0 | (fabs.f64 p) | |
| accuracy | 0.0 | #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) | |
| accuracy | 12.268426762336299 | (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) | |
| accuracy | 37.089917667836914 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) p) | |
| accuracy | 60.39287240792285 | #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 | #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p)) | |
| accuracy | 9.097267929785106 | (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p) | |
| accuracy | 12.268426762336299 | (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) | |
| accuracy | 34.612540854852625 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
| 127.0ms | 125× | 2 | valid |
| 74.0ms | 113× | 1 | valid |
| 11.0ms | 10× | 3 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 403 to 56 computations (86.1% saved)
adjust: 40.0ms (25.8% of total)ival-mult: 38.0ms (24.5% of total)ival-add: 23.0ms (14.8% of total)ival-div: 17.0ms (11% of total)ival-sub: 15.0ms (9.7% of total)ival-sqrt: 10.0ms (6.5% of total)ival-pow2: 8.0ms (5.2% of total)ival-fabs: 2.0ms (1.3% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 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) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
#s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.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) 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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
#s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) 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 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
| 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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)))))))))) |
(/ (pow q 2) p) |
(/ (+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) p) |
(/ (+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) p) |
(pow q 2) |
(+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) |
(+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) |
(* 1/2 p) |
(* 1/2 (- (+ (fabs p) (fabs r)) r)) |
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r))) |
(- (+ (fabs p) (fabs r)) r) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)) |
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(/ (+ (fabs p) (fabs r)) r) |
(+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) |
(+ (* 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))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(fabs p) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (/ (pow q 2) (pow p 2))))) |
(* 1/2 (pow p 2)) |
(* (pow p 2) (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* (pow p 2) (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (/ (pow q 2) (pow p 2))))) |
p |
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p))) |
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p))) |
(* 1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p)))) |
(/ p r) |
(* p (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) |
(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 p) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* 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))))))) |
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(* (pow p 2) (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r)))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p)))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* 1/2 (- (+ (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 (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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)))))))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(+ (* -1/2 r) (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
(/ (+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2)) p) |
(+ (* -1/2 r) (+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))) |
(+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2)) |
(+ (* -1/2 (* p r)) (+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2))) |
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) |
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r)) |
(* 1/2 (+ p (+ (fabs p) (fabs r)))) |
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) |
(+ p (+ (fabs p) (fabs r))) |
(+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) |
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) |
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r) |
(/ (+ p (+ (fabs p) (fabs r))) r) |
(+ (* 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))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(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)))))))))) |
(* -1/2 r) |
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* r (- (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r) 1/2)) |
(* r (- (+ (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (* p r))) 1/2)) |
(* -1/2 (* p r)) |
(* r (+ (* -1/2 p) (+ (* 1/2 (/ (* p (+ p (+ (fabs p) (fabs r)))) r)) (/ (pow q 2) r)))) |
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2)) |
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* -1 r) |
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) |
-1/2 |
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) |
(pow r 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)))))) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))) |
r |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* 1/2 r) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p)) r))))) |
(* -1 (* r (+ (* -1 (/ (+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2)) r)) (* 1/2 p)))) |
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)))) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r)))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(+ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (/ (pow q 2) p)) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) p)) |
(* 1/2 (* p (- (+ p (+ (fabs p) (fabs r))) r))) |
(+ (* 1/2 (* p (- (+ p (+ (fabs p) (fabs r))) r))) (pow q 2)) |
(pow (- p r) 2) |
(+ (* 4 (pow q 2)) (pow (- p r) 2)) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(- (+ r (+ (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)))))))) p) |
(- 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)) |
(* -1 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* (pow q 2) (+ (/ 1 p) (/ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (pow q 2)))) |
(* (pow q 2) (+ (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2))) (/ 1 p))) |
(* (pow q 2) (+ 1 (* 1/2 (/ (* p (- (+ p (+ (fabs p) (fabs r))) r)) (pow q 2))))) |
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2)))) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* 2 q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(* -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 | |
|---|---|---|---|---|
| 7.0ms | r | @ | -inf | ((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) (* (/ 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)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (/ (+ (fabs r) (+ (fabs p) p)) r) (/ 1 2) (+ (* (- p r) (- p r)) (* (* q q) 4)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4)))) (fabs p) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))) (* (* q q) 4)) |
| 3.0ms | r | @ | inf | ((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) (* (/ 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)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (/ (+ (fabs r) (+ (fabs p) p)) r) (/ 1 2) (+ (* (- p r) (- p r)) (* (* q q) 4)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4)))) (fabs p) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))) (* (* q q) 4)) |
| 3.0ms | r | @ | 0 | ((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) (* (/ 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)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (/ (+ (fabs r) (+ (fabs p) p)) r) (/ 1 2) (+ (* (- p r) (- p r)) (* (* q q) 4)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4)))) (fabs p) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))) (* (* q q) 4)) |
| 3.0ms | p | @ | 0 | ((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) (* (/ 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)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (/ (+ (fabs r) (+ (fabs p) p)) r) (/ 1 2) (+ (* (- p r) (- p r)) (* (* q q) 4)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4)))) (fabs p) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))) (* (* q q) 4)) |
| 3.0ms | p | @ | -inf | ((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) (* (/ 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)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (/ (+ (fabs r) (+ (fabs p) p)) r) (/ 1 2) (+ (* (- p r) (- p r)) (* (* q q) 4)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4)))) (fabs p) (sqrt (+ (* (- p r) (- p r)) (* (* q q) 4))) (* (* q q) 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 765 | 4257 |
| 1 | 2404 | 4072 |
| 2 | 7678 | 4070 |
| 0 | 8056 | 3807 |
| 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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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)))))))))) |
(/ (pow q 2) p) |
(/ (+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) p) |
(/ (+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) p) |
(pow q 2) |
(+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) |
(+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) |
(* 1/2 p) |
(* 1/2 (- (+ (fabs p) (fabs r)) r)) |
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r))) |
(- (+ (fabs p) (fabs r)) r) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)) |
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(/ (+ (fabs p) (fabs r)) r) |
(+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) |
(+ (* 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))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(fabs p) |
(sqrt (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) |
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) |
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2)) |
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* p (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (/ (pow q 2) (pow p 2))))) |
(* 1/2 (pow p 2)) |
(* (pow p 2) (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) |
(* (pow p 2) (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (/ (pow q 2) (pow p 2))))) |
p |
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p))) |
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p))) |
(* 1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p)))) |
(/ p r) |
(* p (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) |
(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 p) |
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p))))) |
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))) |
(* 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))))))) |
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2))) |
(* (pow p 2) (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r)))) |
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p)))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* 1/2 (- (+ (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 (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (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)))))))))) |
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))) |
(+ (* -1/2 r) (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))) |
(/ (+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2)) p) |
(+ (* -1/2 r) (+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))) |
(+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2)) |
(+ (* -1/2 (* p r)) (+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2))) |
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) |
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r)) |
(* 1/2 (+ p (+ (fabs p) (fabs r)))) |
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) |
(+ p (+ (fabs p) (fabs r))) |
(+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) |
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) |
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r) |
(/ (+ p (+ (fabs p) (fabs r))) r) |
(+ (* 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))) |
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(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)))))))))) |
(* -1/2 r) |
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2)) |
(* r (- (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r) 1/2)) |
(* r (- (+ (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (* p r))) 1/2)) |
(* -1/2 (* p r)) |
(* r (+ (* -1/2 p) (+ (* 1/2 (/ (* p (+ p (+ (fabs p) (fabs r)))) r)) (/ (pow q 2) r)))) |
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2)) |
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* -1 r) |
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) |
-1/2 |
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) |
(pow r 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)))))) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r))))) |
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))) |
r |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* 1/2 r) |
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2))) |
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2))) |
(* -1 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ (pow q 2) (pow p 2))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p)) r))))) |
(* -1 (* r (+ (* -1 (/ (+ (* 1/2 (* p (+ p (+ (fabs p) (fabs r))))) (pow q 2)) r)) (* 1/2 p)))) |
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)))) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r)))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1))) |
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(+ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (/ (pow q 2) p)) |
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) |
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) p)) |
(* 1/2 (* p (- (+ p (+ (fabs p) (fabs r))) r))) |
(+ (* 1/2 (* p (- (+ p (+ (fabs p) (fabs r))) r))) (pow q 2)) |
(pow (- p r) 2) |
(+ (* 4 (pow q 2)) (pow (- p r) 2)) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(- (+ r (+ (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)))))))) p) |
(- 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)) |
(* -1 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(* (pow q 2) (+ (/ 1 p) (/ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (pow q 2)))) |
(* (pow q 2) (+ (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2))) (/ 1 p))) |
(* (pow q 2) (+ 1 (* 1/2 (/ (* p (- (+ p (+ (fabs p) (fabs r))) r)) (pow q 2))))) |
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2)))) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* 2 q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
| Outputs |
|---|
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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) (fma.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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 (*.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)))))) (*.f64 #s(literal -1/4 binary64) p))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))) |
(/ (pow q 2) p) |
(/.f64 (*.f64 q q) p) |
(/ (+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) p) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (*.f64 q q)) p) |
(/ (+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) p) |
(/.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) (*.f64 q q)) p) |
(pow q 2) |
(*.f64 q q) |
(+ (* 1/2 (* p (- (+ (fabs p) (fabs r)) r))) (pow q 2)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (*.f64 q q)) |
(+ (* p (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))) (pow q 2)) |
(fma.f64 (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) (*.f64 q q)) |
(* 1/2 p) |
(*.f64 #s(literal 1/2 binary64) p) |
(* 1/2 (- (+ (fabs p) (fabs r)) r)) |
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) |
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r))) |
(*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) |
(- (+ (fabs p) (fabs r)) r) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(- (+ p (+ (fabs p) (fabs r))) r) |
(-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) |
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r) |
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p)) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 p r) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal -1/2 binary64)) |
(/ (+ (fabs p) (fabs r)) r) |
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) |
(+.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (/.f64 p r)) |
(+ (* 4 (pow q 2)) (pow r 2)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) |
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(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal -1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64))) |
(+ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (/ (pow q 2) p)) |
(fma.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 (/.f64 (*.f64 q q) p)) |
(* 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)) |
(fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) |
(* 1/2 (* p (- (+ p (+ (fabs p) (fabs r))) r))) |
(*.f64 (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) p) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* p (- (+ p (+ (fabs p) (fabs r))) r))) (pow q 2)) |
(fma.f64 (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) (*.f64 q q)) |
(pow (- p r) 2) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(+ (* 4 (pow q 2)) (pow (- p r) 2)) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(- (+ r (+ (fabs p) (fabs r))) p) |
(-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) |
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p) |
(+.f64 (fma.f64 (*.f64 q (/.f64 q (-.f64 p r))) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p)) |
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p) |
(+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) q) q (/.f64 #s(literal -2 binary64) (-.f64 p r))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p)) |
(- (+ r (+ (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)))))))) p) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal -2 binary64) (-.f64 p r))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p)) |
(- p r) |
(-.f64 p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 p r)) q) q (-.f64 p r)) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(fma.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) (-.f64 p r)) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) (-.f64 p r)) |
(* 4 (pow q 2)) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(* -1 q) |
(neg.f64 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64))) q) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (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 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)))) q) |
(* (pow q 2) (+ (/ 1 p) (/ (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p)))) (pow q 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 p (*.f64 q q)) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)) |
(* (pow q 2) (+ (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2))) (/ 1 p))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) (*.f64 q q)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)) |
(* (pow q 2) (+ 1 (* 1/2 (/ (* p (- (+ p (+ (fabs p) (fabs r))) r)) (pow q 2))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) p) (/.f64 #s(literal 1/2 binary64) (*.f64 q q)) #s(literal 1 binary64)) (*.f64 q q)) |
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) q) #s(literal 4 binary64)) (*.f64 q q)) |
(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(*.f64 (+.f64 (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q)) q) |
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2)) |
(*.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) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q))) q) |
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 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))) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) 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))) q) |
(* 2 q) |
(*.f64 q #s(literal 2 binary64)) |
(* 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 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) q) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.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 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) q (neg.f64 q))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q)) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2))) |
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (neg.f64 q)) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 404 |
| 0 | 90 | 400 |
| 1 | 418 | 398 |
| 2 | 3335 | 398 |
| 0 | 11166 | 388 |
| 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) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
#s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.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) 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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
#s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) |
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) 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 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) |
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(fabs.f64 p) |
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) p))) |
#s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) p)) |
(*.f64 (pow.f64 (/.f64 p (-.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))) #s(literal 2 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 (neg.f64 q) q)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 p (fma.f64 (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) p) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 q #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) p) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 q #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))) (*.f64 q q)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 p #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 p #s(literal -1 binary64)) (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q))) (pow.f64 (neg.f64 p) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) (pow.f64 p #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)) p)) |
(pow.f64 (/.f64 (/.f64 p (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 p (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q))) #s(literal -1 binary64)) p) |
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#s(literal 1/2 binary64) |
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(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (+.f64 (fabs.f64 p) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(+.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (+.f64 (fabs.f64 p) (fabs.f64 r))) |
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(*.f64 (fabs.f64 p) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 p)) |
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 p p))) (fabs.f64 (+.f64 #s(literal 0 binary64) p))) |
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 p p (*.f64 #s(literal 0 binary64) p))))) |
(fabs.f64 (neg.f64 (-.f64 p #s(literal 0 binary64)))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p)))) |
(fabs.f64 (-.f64 p #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 p))) |
(fabs.f64 (neg.f64 p)) |
(fabs.f64 p) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.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 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))))) |
(sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 q #s(literal 4 binary64)) q) |
(*.f64 (*.f64 q q) #s(literal 4 binary64)) |
(*.f64 q (*.f64 q #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 q q)) |
Compiled 53 376 to 3 913 computations (92.7% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 13 | 799 |
| Fresh | 7 | 8 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 796 | 26 | 822 |
| Status | Accuracy | Program |
|---|---|---|
| 31.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (-.f64 (fma.f64 (/.f64 (*.f64 p p) q) #s(literal -1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64)))) | |
| 24.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 20.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 24.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 17.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) | |
| 19.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p))))) | |
| 7.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r)) | |
| 2.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| ✓ | 5.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) |
| ✓ | 5.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) |
| ✓ | 2.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 36.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 34.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))) | |
| 43.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))) p (*.f64 q q)) p))) | |
| 12.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))) #s(literal 2 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 (neg.f64 q) q))) p))) | |
| 29.2% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) | |
| 29.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 #s(literal 1 binary64) (/.f64 p (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 q q)))))) | |
| 13.4% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 p (*.f64 q q)) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)))) | |
| 13.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) 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))) | |
| 21.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p))) | |
| 20.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) #s(approx (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p))))) | |
| 23.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) #s(approx (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (fma.f64 q (/.f64 q p) (*.f64 #s(literal -1/2 binary64) r)))))) | |
| 12.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) | |
| 42.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) | |
| ✓ | 32.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
| 9.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) r)) (fabs p)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))) |
Compiled 6 163 to 1 489 computations (75.8% saved)
| Inputs |
|---|
#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)))))) (*.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)) |
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #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 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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 (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) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)) r)) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 (*.f64 p p)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))) r)) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (*.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 p p) r) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))) (neg.f64 q))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 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) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))) #s(literal 2 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 (neg.f64 q) q))) p))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (*.f64 r r)) (fabs.f64 (*.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (pow.f64 (fabs.f64 r) #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 (fabs.f64 p) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 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)))))) (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r)) (pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (neg.f64 p) #s(literal 1 binary64)) #s(literal -1/4 binary64)) r (*.f64 p #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 1/2 binary64) p (*.f64 (*.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p 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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
7 calls:
| 53.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 43.0ms | p |
| 32.0ms | r |
| 28.0ms | (-.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)))))) |
| 20.0ms | q |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 5 | p |
| 55.5% | 3 | r |
| 73.1% | 3 | q |
| 56.9% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 56.9% | 3 | (-.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)))))) |
| 73.1% | 3 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 73.1% | 3 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 51 to 54 computations (-5.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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)))))) (*.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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.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) #s(approx (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (*.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 (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)))))) (*.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #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 (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #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 (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) 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))) |
#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 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 p 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 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) 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)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) #s(approx (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) #s(approx (/ (+ (* (* 1/2 (+ (+ p (- (fabs r) r)) (fabs p))) p) (* q q)) p) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (fma.f64 q (/.f64 q p) (*.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 (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p (*.f64 q q)) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))) p (*.f64 q q)) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 #s(literal 1 binary64) (/.f64 p (fma.f64 (*.f64 p #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (*.f64 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 #s(approx (- (+ (fabs r) (fabs p)) r) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) (neg.f64 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 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) 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))))) #s(approx (* (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) r) (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (+.f64 (/.f64 (fabs.f64 p) r) #s(literal -1 binary64))) r p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.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 (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #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 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) 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) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p (neg.f64 p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 p (*.f64 q q)) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q (fma.f64 q (/.f64 r p) q)) p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) q) #s(literal 1/2 binary64))) r (*.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (-.f64 (fma.f64 (/.f64 (*.f64 p p) q) #s(literal -1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 2 binary64) q))) #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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
3 calls:
| 15.0ms | q |
| 13.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 11.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | q |
| 71.3% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 71.3% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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)))))) (*.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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) 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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
3 calls:
| 8.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 3.0ms | q |
| 3.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 62.2% | 2 | (pow.f64 q #s(literal 2 binary64)) |
| 62.2% | 2 | q |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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)))))) (*.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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
4 calls:
| 3.0ms | q |
| 3.0ms | p |
| 3.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 3.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.9% | 2 | p |
| 55.5% | 2 | q |
| 55.5% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 55.5% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 10 to 18 computations (-80% saved)
| Inputs |
|---|
#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)))))) (*.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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #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)) |
7 calls:
| 4.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 3.0ms | q |
| 3.0ms | p |
| 3.0ms | r |
| 2.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 2 | p |
| 40.9% | 2 | r |
| 38.9% | 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))))))) |
| 38.9% | 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)))))) |
| 44.0% | 2 | q |
| 44.0% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 44.0% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 51 to 54 computations (-5.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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)))))) (*.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 (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) r)) (fabs p)) (+.f64 (+.f64 p (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) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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)))))) (neg.f64 q)) |
4 calls:
| 3.0ms | r |
| 2.0ms | q |
| 2.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 2.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | r |
| 40.6% | 2 | q |
| 40.6% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 40.6% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 10 to 18 computations (-80% saved)
Total -22.1b remaining (-54.1%)
Threshold costs -22.1b (-54.1%)
| Inputs |
|---|
#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)))))) (*.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)))))) (neg.f64 q)) |
6 calls:
| 3.0ms | p |
| 2.0ms | q |
| 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))))))) |
| 2.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 2.0ms | (-.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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | p |
| 36.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 36.0% | 1 | (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 36.0% | 1 | q |
| 36.0% | 1 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 36.0% | 1 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 50 to 51 computations (-2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.774942503703986e+39 | 7.88064777436452e+40 |
| 0.0ms | 6.094032596952262e-41 | 6.853151137120633e-41 |
Compiled 25 to 25 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 7525841855746894000.0 | 6.144056073721972e+19 |
| 11.0ms | 44× | 1 | valid |
| 5.0ms | 18× | 2 | valid |
| 3.0ms | 34× | 0 | valid |
Compiled 481 to 366 computations (23.9% saved)
ival-sub: 4.0ms (25.8% of total)ival-pow2: 3.0ms (19.4% of total)ival-add: 2.0ms (12.9% of total)adjust: 2.0ms (12.9% of total)ival-mult: 2.0ms (12.9% of total)ival-div: 1.0ms (6.5% of total)ival-sqrt: 1.0ms (6.5% of total)ival-fabs: 1.0ms (6.5% 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 | 7525841855746894000.0 | 6.144056073721972e+19 |
Compiled 481 to 366 computations (23.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.774942503703986e+39 | 7.88064777436452e+40 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.094032596952262e-41 | 6.853151137120633e-41 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.361614721992887e-178 | 1.328019123402049e-174 |
Compiled 25 to 25 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 568 |
| 1 | 158 | 568 |
| 2 | 322 | 568 |
| 3 | 872 | 561 |
| 4 | 2751 | 537 |
| 5 | 7281 | 537 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3187590725001049/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000151893014213501833445376 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))) |
(if (<=.f64 q #s(literal 9500000000000000000 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
(if (<=.f64 q #s(literal 9500000000000000000 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000151893014213501833445376 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3187590725001049/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #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))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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)))))) (neg.f64 q))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| Outputs |
|---|
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3187590725001049/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000151893014213501833445376 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3187590725001049/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000151893014213501833445376 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (pow.f64 p #s(literal -1 binary64))) (*.f64 q q)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))) |
(if (<=.f64 q #s(literal 9500000000000000000 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
(if (<=.f64 q #s(literal 9500000000000000000 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000151893014213501833445376 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3187590725001049/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #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))) |
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (- (fabs r) 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)))))) (neg.f64 q))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 765 | 4257 |
| 1 | 2404 | 4072 |
| 2 | 7678 | 4070 |
| 0 | 8056 | 3807 |
| 0 | 1155 | 6299 |
| 1 | 3508 | 6002 |
| 0 | 8305 | 5621 |
| 0 | 620 | 3260 |
| 1 | 1907 | 3079 |
| 2 | 6213 | 2943 |
| 0 | 8129 | 2744 |
| 0 | 63 | 404 |
| 0 | 90 | 400 |
| 1 | 418 | 398 |
| 2 | 3335 | 398 |
| 0 | 11166 | 388 |
| 0 | 1139 | 6253 |
| 1 | 3440 | 5997 |
| 0 | 8140 | 5599 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 787 to 287 computations (63.5% saved)
Compiled 1 872 to 488 computations (73.9% saved)
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