
Time bar (total: 10.2s)
| 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)
| 977.0ms | 2 198× | 2 | valid |
| 691.0ms | 3 104× | 1 | valid |
| 340.0ms | 2 954× | 0 | valid |
ival-pow2: 503.0ms (29.7% of total)adjust: 266.0ms (15.7% of total)ival-add: 197.0ms (11.6% of total)ival-mult: 171.0ms (10.1% of total)ival-sub: 159.0ms (9.4% of total)ival-sqrt: 154.0ms (9.1% of total)ival-fabs: 117.0ms (6.9% of total)ival-div: 108.0ms (6.4% of total)exact: 12.0ms (0.7% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 152 | 0 | - | 1 | (7.179707781253865e-178 3.7468265381810084e-162 1.0876437189186997e-228) | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 139 | 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 | 1 | (2.006204961457399e-58 -7.174710993161442e-210 1.2792012502883975e-162) | 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 | 148 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | overflow | 148 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | overflow | 109 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | overflow | 61 | |
-.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 | 139 | 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 | 3 | 0 |
| ↳ | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | underflow | 3 | |
| ↳ | (pow.f64 q #s(literal 2 binary64)) | underflow | 65 | |
| ↳ | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | underflow | 14 | |
| ↳ | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | underflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 205 | 0 |
| - | 0 | 51 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 205 | 0 | 0 |
| - | 0 | 0 | 51 |
| number | freq |
|---|---|
| 0 | 51 |
| 1 | 120 |
| 2 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 226.0ms | 196× | 1 | valid |
| 49.0ms | 154× | 2 | valid |
| 22.0ms | 162× | 0 | valid |
Compiled 317 to 76 computations (76% saved)
ival-sqrt: 20.0ms (20.1% of total)ival-mult: 16.0ms (16.1% of total)ival-pow2: 16.0ms (16.1% of total)adjust: 15.0ms (15.1% of total)ival-add: 12.0ms (12.1% of total)ival-sub: 10.0ms (10.1% of total)ival-fabs: 7.0ms (7% of total)ival-div: 3.0ms (3% of total)ival-true: 1.0ms (1% of total)exact: 1.0ms (1% 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 |
|---|---|---|
| ▶ | 23.8% | (*.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 #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 | 128 | (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 6144 | (pow.f64 q #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 | 0.01171875 | (pow.f64 (-.f64 p r) #s(literal 2 binary64)) | |
| accuracy | 0.024101269536884032 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) | |
| accuracy | 31.629183387218458 | (-.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 | 35.178074754833666 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))) |
| 49.0ms | 77× | 2 | valid |
| 26.0ms | 98× | 1 | valid |
| 10.0ms | 81× | 0 | valid |
Compiled 196 to 38 computations (80.6% saved)
adjust: 7.0ms (18.3% of total)ival-pow2: 7.0ms (18.3% of total)ival-sub: 5.0ms (13.1% of total)ival-mult: 5.0ms (13.1% of total)ival-add: 5.0ms (13.1% of total)ival-sqrt: 4.0ms (10.5% of total)ival-div: 2.0ms (5.2% of total)ival-fabs: 2.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 q #s(literal 2 binary64)) |
(/.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))))))) |
(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)))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* 4 (pow q 2)) (pow r 2)) |
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2))) |
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2))) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* 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)))))))))) |
(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)))))))))) |
(- (+ (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)))) |
(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)) |
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))))))) |
(* -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))))))) |
(* (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 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (- (* -1 (/ (- (+ (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))) |
(* (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)))))))))) |
(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)))))))))) |
(- (+ (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)))) |
(+ (* -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)) |
r |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 r) |
(* 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))))))) |
(* (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 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* -1 (* r (- (* -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 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r)))) |
(pow q 2) |
(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))))) |
(- 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) |
(- (+ 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) |
(* 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 (+ 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))))))) |
(* -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)))))) |
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 (+ 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)))))))) |
(* -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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | p | @ | 0 | ((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 3.0ms | q | @ | 0 | ((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 2.0ms | r | @ | 0 | ((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 2.0ms | p | @ | inf | ((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 2.0ms | q | @ | inf | ((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 620 | 3263 |
| 1 | 1907 | 3082 |
| 2 | 6214 | 2946 |
| 0 | 8129 | 2747 |
| 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)))))))))) |
(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)))))))))) |
(- (+ (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)))) |
(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)) |
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))))))) |
(* -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))))))) |
(* (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 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(* -1 (* p (- (* -1 (/ (- (+ (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))) |
(* (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)))))))))) |
(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)))))))))) |
(- (+ (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)))) |
(+ (* -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)) |
r |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 r) |
(* 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))))))) |
(* (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 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(* -1 (* r (- (* -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 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r)))) |
(pow q 2) |
(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))))) |
(- 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) |
(- (+ 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) |
(* 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 (+ 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))))))) |
(* -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)))))) |
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 (+ 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)))))))) |
(* -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))) |
| 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 p #s(literal -1/4 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)))))) (*.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))) |
(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)))) |
(- (+ (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)))) |
(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) |
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) |
(* -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) |
(* (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 (* -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)) |
(* -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))) |
(* (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 (+ 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) |
(* -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) |
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 (+ 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)) |
(* -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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 75 |
| 0 | 31 | 75 |
| 1 | 109 | 75 |
| 2 | 796 | 75 |
| 0 | 8700 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 q #s(literal 2 binary64)) |
(/.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))))))) |
(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)))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 q (sqrt.f64 q)) (sqrt.f64 q)) |
(*.f64 (sqrt.f64 q) (*.f64 (sqrt.f64 q) q)) |
(*.f64 q q) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 q)) |
(pow.f64 (*.f64 q q) #s(literal 1 binary64)) |
(pow.f64 q #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 q) (log.f64 q))) |
(exp.f64 (*.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 q q)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(*.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))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 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 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 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 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q))) (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q))) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (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 #s(literal 4 binary64) (*.f64 q q))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (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)) (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 #s(literal 4 binary64) (*.f64 q q)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q))))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))))) (+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))))) |
(/.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 #s(literal 4 binary64) (*.f64 q q)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) #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 #s(literal 4 binary64) (*.f64 q q)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))))))) |
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(*.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (pow.f64 (+.f64 r p) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) #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 #s(literal 1 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 #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 (-.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 p (sqrt.f64 (-.f64 p r))) (sqrt.f64 (-.f64 p r)) (*.f64 r (-.f64 r p))) |
(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)) (neg.f64 r)) (*.f64 (-.f64 p 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 #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)) (neg.f64 r)) (*.f64 (-.f64 p r) p)) |
(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 (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 (-.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 (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))) |
Compiled 21 372 to 2 395 computations (88.8% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 467 | 26 | 493 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 468 | 26 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 20.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 8.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p))))) | |
| 14.6% | (*.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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| ▶ | 13.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
| 15.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 8.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 r r (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (fabs.f64 p))) | |
| 22.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 p (*.f64 (+.f64 r p) (-.f64 p r))) (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (fma.f64 r (-.f64 r p) (*.f64 #s(literal 4 binary64) (*.f64 q q))))))) | |
| 17.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) | |
| 21.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))) | |
| 23.7% | (*.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 (/.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))) | |
| 17.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))) | |
| 13.4% | #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)) | |
| 31.1% | #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)) | |
| 15.6% | #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 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))) | |
| 16.0% | #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))) | |
| 18.4% | #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)) | |
| ▶ | 21.2% | #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)) |
| 18.7% | #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))) | |
| ▶ | 13.6% | #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)))) |
| 14.3% | #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)))) | |
| 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| 5.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) | |
| 4.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) | |
| ▶ | 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ▶ | 33.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
Compiled 2 042 to 1 336 computations (34.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 6336 | (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 128 | (*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) | |
| cost-diff | 192 | (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))) | |
| 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 | 832 | (*.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 | 58 | 494 |
| 0 | 97 | 490 |
| 1 | 186 | 485 |
| 2 | 435 | 485 |
| 3 | 1382 | 485 |
| 4 | 5302 | 478 |
| 0 | 8341 | 469 |
| 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) |
#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)) |
(*.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) |
(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))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) |
(+.f64 (/.f64 p r) #s(literal 1 binary64)) |
(/.f64 p r) |
p |
r |
#s(literal 1 binary64) |
(*.f64 (/.f64 q r) (/.f64 q r)) |
(/.f64 q r) |
q |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(+.f64 (fabs.f64 r) p) |
(fabs.f64 r) |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
r |
(neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(*.f64 q q) |
q |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
p |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(fabs.f64 r) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fabs.f64 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 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (*.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))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (*.f64 #s(literal 1/2 binary64) p)) |
(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) |
#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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 p r)) r) (*.f64 (/.f64 q r) q) (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64))) r)) |
(*.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) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 p r)) r) (*.f64 (/.f64 q r) q) (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64))) r) |
(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))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 p r)) r) (*.f64 (/.f64 q r) q) (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) |
(*.f64 (/.f64 (/.f64 q r) r) (fma.f64 (/.f64 p r) q q)) |
(+.f64 (/.f64 p r) #s(literal 1 binary64)) |
(/.f64 p r) |
p |
r |
#s(literal 1 binary64) |
(*.f64 (/.f64 q r) (/.f64 q r)) |
(*.f64 (/.f64 (/.f64 q r) r) q) |
(/.f64 q r) |
q |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 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 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) |
(/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) |
(+.f64 (fabs.f64 r) p) |
(fabs.f64 r) |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(*.f64 (-.f64 (fabs.f64 p) (/.f64 (fma.f64 (-.f64 (-.f64 p r) r) p (*.f64 (*.f64 q q) #s(literal 4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(-.f64 (fabs.f64 p) (/.f64 (fma.f64 (-.f64 (-.f64 p r) r) p (*.f64 (*.f64 q q) #s(literal 4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))) |
(fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 r #s(literal 2 binary64) (neg.f64 p)) p (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
r |
(neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(*.f64 q q) |
q |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
p |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(/.f64 #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)))) (fabs.f64 r))) |
(+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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)))) (fabs.f64 r)) |
(fabs.f64 r) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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)))) |
(fabs.f64 p) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) | |
| accuracy | 10.708173160188183 | (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) | |
| accuracy | 21.059991234049967 | (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) | |
| accuracy | 23.494106465406926 | (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) | |
| accuracy | 4.313314307997042 | (*.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) | |
| accuracy | 11.839058480447827 | (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 17.938084604551086 | (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) | |
| accuracy | 23.182849012404585 | #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)) | |
| accuracy | 2.6786696710894717 | (*.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 | 8.924230971475183 | (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 18.72552980650213 | (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) | |
| accuracy | 26.592233102940828 | #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 | 38.41711304229578 | #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 | 23.334728128124265 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| 105.0ms | 91× | 2 | exit |
| 101.0ms | 114× | 1 | valid |
| 39.0ms | 41× | 2 | valid |
| 3.0ms | 7× | 1 | exit |
| 1.0ms | 3× | 0 | valid |
Compiled 983 to 118 computations (88% saved)
ival-mult: 40.0ms (21.4% of total)adjust: 37.0ms (19.8% of total)ival-add: 33.0ms (17.7% of total)ival-sqrt: 25.0ms (13.4% of total)ival-sub: 19.0ms (10.2% of total)ival-div: 18.0ms (9.6% of total)ival-pow2: 8.0ms (4.3% of total)ival-neg: 4.0ms (2.1% of total)ival-fabs: 3.0ms (1.6% 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)) |
(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))) |
(*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.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)) |
(*.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) |
(fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 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) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2) |
(/ (pow q 2) (pow r 2)) |
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(* -4 (pow q 2)) |
(- (* 2 (* p r)) (* 4 (pow q 2))) |
(- (* p (- (* -1 p) (* -2 r))) (* 4 (pow q 2))) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) |
(+ (* -1/2 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* 1/2 (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* 1/2 (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))))))) |
(- (+ (fabs p) (fabs r)) r) |
(+ (fabs p) (fabs r)) |
(+ p (+ (fabs p) (fabs r))) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(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)))))))))) |
(/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* (/ (* p r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* p (- (* -1 (* p (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* p (- (* p (- (* -1 (* p (+ (* 1/2 (* (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 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 (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) |
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p)))) |
(/ (* p (pow q 2)) (pow r 3)) |
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3)))) |
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p))) |
(* -1 (pow p 2)) |
(* (pow p 2) (- (* 2 (/ r p)) 1)) |
(* (pow p 2) (- (* -4 (/ (pow q 2) (pow p 2))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (+ (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)) (/ (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))) (pow p 3))))))))) (+ 1 (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 r))) (pow p 3))) (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (* (pow r 2) (+ (fabs r) (* -1 r))) (pow p 3)))))))) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2)))) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (+ (* 1/2 (/ (- (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 r)))) (* (pow r 2) (+ (fabs r) (* -1 r))))) (pow p 3))) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2))))) 1/2)) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(* 1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 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))))))) |
(/ 1 p) |
(/ (+ 1 (* -1 (/ (+ (fabs r) (* -1 r)) p))) p) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs r) (* -1 r)) 2)) (* 2 (pow q 2))) (pow p 2)))) (+ (* -1 (/ r p)) (/ (fabs r) p))) p) |
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 r)))) (+ (* -1 (* (+ (fabs r) (* -1 r)) (+ (* -1 (pow (+ (fabs r) (* -1 r)) 2)) (* 2 (pow q 2))))) (* 2 (* (pow q 2) r)))) (pow p 3)))) (+ (* -1 (/ r p)) (+ (* -1 (/ (pow (+ (fabs r) (* -1 r)) 2) (pow p 2))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))) 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 (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3)))))) |
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))) |
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))) |
(* (pow p 2) (- (* -1 (/ (- (* 4 (/ (pow q 2) p)) (* 2 r)) p)) 1)) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r)))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1/2 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (* 1/2 (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(/ -1 p) |
(* -1 (/ (+ 1 (+ (/ r p) (/ (fabs r) p))) p)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ r (fabs r)) 2) p)) (* 2 (/ (pow q 2) p))) (+ r (fabs r))) p))) p)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 2) r) p)) (+ (* -2 (/ (* (pow q 2) (+ r (fabs r))) p)) (* -1 (/ (* (+ r (fabs r)) (+ (* -1 (pow (+ r (fabs r)) 2)) (* 2 (pow q 2)))) p)))) (+ (* -1 (pow (+ r (fabs r)) 2)) (* 2 (pow q 2)))) p)) (+ r (fabs r))) 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)))))))))) |
(* -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) |
(* -1 (/ (* p (pow q 2)) (pow r 3))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3)) |
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3)) |
(* -1 (/ (* p (pow q 2)) (pow r 2))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2)) |
(* -1 (+ (* 4 (pow q 2)) (pow p 2))) |
(- (* 2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2))) |
(- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
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(* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(+ (* 1/2 (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))))))) |
(+ (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) |
(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 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* (/ (* p r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* r (- (* -1 (* r (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* r (- (* r (- (* -1 (* r (+ (* 1/2 (* (/ (* p (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 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)) |
(* 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)))) |
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2) |
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2)) |
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)) |
(* 2 (* p r)) |
(* r (- (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* -2 p))) |
(- (fabs p) (* -2 p)) |
(- (+ (fabs p) (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r)) (+ (* -2 p) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r))))) |
(- (+ (fabs p) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 p) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))) |
(- (+ (fabs p) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (pow r 3))) (+ (* 2 (/ (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (pow r 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (* 2 (/ (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 3))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2)))))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -4 (/ (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4))) (pow r 3))) (+ (* -2 p) (+ (* -2 (/ (* p (* (pow q 2) (+ (fabs r) (* -1 p)))) (pow r 3))) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 (/ (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2)))))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))))))) |
(* 1/2 (- (fabs p) (* -2 p))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2))))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (+ (* 1/2 (/ (- (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))))))) (+ (* 2 (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* p (* (pow q 2) (+ (fabs r) (* -1 p))))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))))))))) (pow r 3))) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2)))))) |
(* -1 r) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) |
r |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(/ 1 r) |
(/ (+ 1 (* -1 (/ (+ (fabs r) (* -1 p)) r))) r) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))) (pow r 2)))) (+ (* -1 (/ p r)) (/ (fabs r) r))) r) |
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))) (pow r 3)))) (+ (* -1 (/ p r)) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) (pow r 2))) (+ (* 2 (/ (pow q 2) (pow r 2))) (/ (fabs r) r))))) 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 (+ 1/2 (/ (* 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 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)) (* 2 p)))) |
(- (fabs p) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(* 1/2 (- (fabs p) (* 2 p))) |
(+ (* -1/2 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (* 1/2 (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(/ -1 r) |
(* -1 (/ (+ 1 (+ (/ p r) (/ (fabs r) r))) r)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ p (fabs r)) 2) r)) (* 2 (/ (pow q 2) r))) (+ p (fabs r))) r))) r)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* p (pow q 2)) r)) (+ (* -2 (/ (* (pow q 2) (+ p (fabs r))) r)) (* -1 (/ (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))) r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))) r)) (+ p (fabs r))) 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))))) |
(* -1 q) |
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)) |
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))) |
(- (pow r 2) (pow (- p r) 2)) |
(- (+ (* -4 (pow q 2)) (pow r 2)) (pow (- p r) 2)) |
(- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (+ (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) |
(+ (* 1/2 (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))) (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (* 1/2 (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))))))) |
(- 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) |
(/ 1 (- (+ p (fabs r)) r)) |
(+ (* -2 (/ (pow q 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (/ 1 (- (+ p (fabs r)) r))) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))))) (/ 1 (- (+ p (fabs r)) r))) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))) (+ (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3))))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))))) (/ 1 (- (+ p (fabs r)) r))) |
(* 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)) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) |
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2))))) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
(* (pow q 2) (- (/ (pow r 2) (pow q 2)) (+ 4 (/ (pow (- p r) 2) (pow q 2))))) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2)))) 1)) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) (pow q 3))) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2))))) 1)) |
(* 2 q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(/ 1/2 q) |
(/ (+ 1/2 (* -1/4 (/ (fabs r) q))) q) |
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2))) (pow q 2)))) (* 1/4 (/ (fabs r) q))) q) |
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2))))) (* -1/32 (* (fabs r) (pow (- p r) 2)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow (- p r) 2) (pow q 2))) (* 1/4 (/ (fabs r) q))))) 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 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (* 1/2 (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -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)))))))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* 1/4 (/ (fabs r) q))) q)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow (- p r) 2) q))) (* 1/4 (fabs r))) q))) q)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* -1/32 (/ (* (fabs r) (pow (- p r) 2)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* 1/4 (fabs r))) q))) q)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | 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) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) |
| 17.0ms | 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) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) |
| 15.0ms | 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) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) |
| 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) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) |
| 9.0ms | 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) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1648 | 16222 |
| 1 | 5417 | 15454 |
| 0 | 8169 | 14623 |
| 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) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2) |
(/ (pow q 2) (pow r 2)) |
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(* -4 (pow q 2)) |
(- (* 2 (* p r)) (* 4 (pow q 2))) |
(- (* p (- (* -1 p) (* -2 r))) (* 4 (pow q 2))) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) |
(+ (* -1/2 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* 1/2 (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* 1/2 (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))))))) |
(- (+ (fabs p) (fabs r)) r) |
(+ (fabs p) (fabs r)) |
(+ p (+ (fabs p) (fabs r))) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(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)))))))))) |
(/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* (/ (* p r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* p (- (* -1 (* p (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* p (- (* p (- (* -1 (* p (+ (* 1/2 (* (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 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 (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) |
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p)))) |
(/ (* p (pow q 2)) (pow r 3)) |
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3)))) |
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p))) |
(* -1 (pow p 2)) |
(* (pow p 2) (- (* 2 (/ r p)) 1)) |
(* (pow p 2) (- (* -4 (/ (pow q 2) (pow p 2))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (+ (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)) (/ (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))) (pow p 3))))))))) (+ 1 (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 r))) (pow p 3))) (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (* (pow r 2) (+ (fabs r) (* -1 r))) (pow p 3)))))))) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2)))) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (+ (* 1/2 (/ (- (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 r)))) (* (pow r 2) (+ (fabs r) (* -1 r))))) (pow p 3))) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2))))) 1/2)) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(* 1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 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))))))) |
(/ 1 p) |
(/ (+ 1 (* -1 (/ (+ (fabs r) (* -1 r)) p))) p) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs r) (* -1 r)) 2)) (* 2 (pow q 2))) (pow p 2)))) (+ (* -1 (/ r p)) (/ (fabs r) p))) p) |
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 r)))) (+ (* -1 (* (+ (fabs r) (* -1 r)) (+ (* -1 (pow (+ (fabs r) (* -1 r)) 2)) (* 2 (pow q 2))))) (* 2 (* (pow q 2) r)))) (pow p 3)))) (+ (* -1 (/ r p)) (+ (* -1 (/ (pow (+ (fabs r) (* -1 r)) 2) (pow p 2))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))) 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 (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3)))))) |
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))) |
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))) |
(* (pow p 2) (- (* -1 (/ (- (* 4 (/ (pow q 2) p)) (* 2 r)) p)) 1)) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r)))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1/2 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (* 1/2 (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ 1 (* -1 (/ r p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p))))) |
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p))))) |
(/ -1 p) |
(* -1 (/ (+ 1 (+ (/ r p) (/ (fabs r) p))) p)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ r (fabs r)) 2) p)) (* 2 (/ (pow q 2) p))) (+ r (fabs r))) p))) p)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 2) r) p)) (+ (* -2 (/ (* (pow q 2) (+ r (fabs r))) p)) (* -1 (/ (* (+ r (fabs r)) (+ (* -1 (pow (+ r (fabs r)) 2)) (* 2 (pow q 2)))) p)))) (+ (* -1 (pow (+ r (fabs r)) 2)) (* 2 (pow q 2)))) p)) (+ r (fabs r))) 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)))))))))) |
(* -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) |
(* -1 (/ (* p (pow q 2)) (pow r 3))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3)) |
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3)) |
(* -1 (/ (* p (pow q 2)) (pow r 2))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2)) |
(* -1 (+ (* 4 (pow q 2)) (pow p 2))) |
(- (* 2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2))) |
(- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
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(* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(+ (* 1/2 (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))))))) |
(+ (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) |
(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 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* (/ (* p r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* r (- (* -1 (* r (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* r (- (* r (- (* -1 (* r (+ (* 1/2 (* (/ (* p (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 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)) |
(* 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)))) |
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2) |
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2)) |
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)) |
(* 2 (* p r)) |
(* r (- (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* -2 p))) |
(- (fabs p) (* -2 p)) |
(- (+ (fabs p) (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r)) (+ (* -2 p) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r))))) |
(- (+ (fabs p) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 p) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))) |
(- (+ (fabs p) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (pow r 3))) (+ (* 2 (/ (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (pow r 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (* 2 (/ (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 3))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2)))))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -4 (/ (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4))) (pow r 3))) (+ (* -2 p) (+ (* -2 (/ (* p (* (pow q 2) (+ (fabs r) (* -1 p)))) (pow r 3))) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 (/ (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2)))))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))))))) |
(* 1/2 (- (fabs p) (* -2 p))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2))))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (+ (* 1/2 (/ (- (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))))))) (+ (* 2 (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* p (* (pow q 2) (+ (fabs r) (* -1 p))))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))))))))) (pow r 3))) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2)))))) |
(* -1 r) |
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) |
r |
(* r (+ 1 (* -1 (/ p r)))) |
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(/ 1 r) |
(/ (+ 1 (* -1 (/ (+ (fabs r) (* -1 p)) r))) r) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))) (pow r 2)))) (+ (* -1 (/ p r)) (/ (fabs r) r))) r) |
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))) (pow r 3)))) (+ (* -1 (/ p r)) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) (pow r 2))) (+ (* 2 (/ (pow q 2) (pow r 2))) (/ (fabs r) r))))) 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 (+ 1/2 (/ (* 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 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2) |
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)) (* 2 p)))) |
(- (fabs p) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(* 1/2 (- (fabs p) (* 2 p))) |
(+ (* -1/2 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (* 1/2 (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r))))) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(/ -1 r) |
(* -1 (/ (+ 1 (+ (/ p r) (/ (fabs r) r))) r)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ p (fabs r)) 2) r)) (* 2 (/ (pow q 2) r))) (+ p (fabs r))) r))) r)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* p (pow q 2)) r)) (+ (* -2 (/ (* (pow q 2) (+ p (fabs r))) r)) (* -1 (/ (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))) r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))) r)) (+ p (fabs r))) 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))))) |
(* -1 q) |
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)) |
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))) |
(- (pow r 2) (pow (- p r) 2)) |
(- (+ (* -4 (pow q 2)) (pow r 2)) (pow (- p r) 2)) |
(- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (+ (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) |
(+ (* 1/2 (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))) (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (* 1/2 (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))))))) |
(- 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) |
(/ 1 (- (+ p (fabs r)) r)) |
(+ (* -2 (/ (pow q 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (/ 1 (- (+ p (fabs r)) r))) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))))) (/ 1 (- (+ p (fabs r)) r))) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))) (+ (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3))))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))))) (/ 1 (- (+ p (fabs r)) r))) |
(* 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)) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) |
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2))))) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
(* (pow q 2) (- (/ (pow r 2) (pow q 2)) (+ 4 (/ (pow (- p r) 2) (pow q 2))))) |
(* -2 q) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2)))) 1)) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) (pow q 3))) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2))))) 1)) |
(* 2 q) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(/ 1/2 q) |
(/ (+ 1/2 (* -1/4 (/ (fabs r) q))) q) |
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2))) (pow q 2)))) (* 1/4 (/ (fabs r) q))) q) |
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2))))) (* -1/32 (* (fabs r) (pow (- p r) 2)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow (- p r) 2) (pow q 2))) (* 1/4 (/ (fabs r) q))))) 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 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (* 1/2 (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -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)))))))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* 1/4 (/ (fabs r) q))) q)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow (- p r) 2) q))) (* 1/4 (fabs r))) q))) q)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* -1/32 (/ (* (fabs r) (pow (- p r) 2)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* 1/4 (fabs r))) q))) 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)) |
(* -1 p) |
(neg.f64 p) |
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) |
(*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)) p) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 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) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 r r))) #s(literal 1/2 binary64)) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2) |
(-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64)))) p)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 1/2 binary64)) |
(/ (pow q 2) (pow r 2)) |
(*.f64 (/.f64 q r) (/.f64 q r)) |
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) |
(fma.f64 (/.f64 q r) (/.f64 q r) (/.f64 (*.f64 (*.f64 q q) p) (pow.f64 r #s(literal 3 binary64)))) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 r r))) #s(literal 1/2 binary64)) r) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 r r))) #s(literal 1/2 binary64)) r (*.f64 (*.f64 r p) (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64)))))) |
(* -4 (pow q 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 q q)) |
(- (* 2 (* p r)) (* 4 (pow q 2))) |
(fma.f64 (*.f64 r p) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
(- (* p (- (* -1 p) (* -2 r))) (* 4 (pow q 2))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) p (*.f64 r #s(literal 2 binary64))) p (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(-.f64 (fabs.f64 p) (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 r (/.f64 (fma.f64 (/.f64 r (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 q q)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 r q) (*.f64 r q))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 3 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal -4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (/.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 3 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) p (fabs.f64 p)) (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
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(* 2 q) |
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q |
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(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64))) |
(/ -1/2 q) |
(/.f64 #s(literal -1/2 binary64) q) |
(* -1 (/ (+ 1/2 (* 1/4 (/ (fabs r) q))) q)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fabs.f64 r) q) #s(literal 1/2 binary64)) q)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow (- p r) 2) q))) (* 1/4 (fabs r))) q))) q)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/16 binary64) (*.f64 #s(literal -1/4 binary64) (fabs.f64 r)))) q))) q) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* -1/32 (/ (* (fabs r) (pow (- p r) 2)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* 1/4 (fabs r))) q))) q)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 r) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r))) q)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (fabs.f64 r) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)) #s(literal -1/32 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r)))))) q) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (fabs.f64 r))) q))) q) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 372 |
| 0 | 97 | 358 |
| 1 | 420 | 325 |
| 2 | 3477 | 325 |
| 0 | 11597 | 325 |
| 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)) |
(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))) |
(*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.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)) |
(*.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) |
(fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 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 #s(literal 1/2 binary64) p)) |
(*.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 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (*.f64 #s(literal 1/2 binary64) p))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (*.f64 #s(literal 1/2 binary64) p))))) |
(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 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) #s(literal -1 binary64)) p (*.f64 #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 #s(literal 1/2 binary64) p)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) (neg.f64 p) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 #s(literal 1/2 binary64) p (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))) |
(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 #s(literal 1/2 binary64) p)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) p) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (*.f64 #s(literal 1/2 binary64) p) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 (neg.f64 p) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) p)) |
(fma.f64 (neg.f64 p) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.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 #s(literal 1/2 binary64) p)) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 p) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))) |
(-.f64 #s(literal 0 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 (*.f64 #s(literal 1/2 binary64) p) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (*.f64 #s(literal 1/2 binary64) p)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.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 #s(literal -1 binary64) p) |
(*.f64 p #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 p p)) (+.f64 #s(literal 0 binary64) p)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 p p (*.f64 #s(literal 0 binary64) p)))) |
(neg.f64 p) |
(-.f64 #s(literal 0 binary64) p) |
(+.f64 #s(literal 0 binary64) (neg.f64 p)) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(*.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)) (pow.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))) |
(*.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)) (pow.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) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64))) |
(pow.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)) (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))) #s(literal -1 binary64)) |
(pow.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) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))) (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))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) #s(literal 2 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 (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 1/4 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)) (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 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)))) |
(/.f64 (neg.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 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
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(/.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)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (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 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (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 (pow.f64 (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)))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.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 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.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 (pow.f64 (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)))) #s(literal -1 binary64)) #s(literal 1/2 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 1/4 binary64)) #s(literal 2 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 1/4 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 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.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))))) (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 (-.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.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))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.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))))) (sqrt.f64 (neg.f64 (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 (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 (sqrt.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (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) (-.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 #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 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.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) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) (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) (sqrt.f64 (/.f64 (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)))) (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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 r r (neg.f64 (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 (-.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 -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 r r (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) (-.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 (pow.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 r r (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)))) (fabs.f64 r))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 (fma.f64 r r (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)))) (fabs.f64 r)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r))))) |
(/.f64 #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)))) (fabs.f64 r))) |
(neg.f64 (/.f64 #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)))) (fabs.f64 r)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal -1 binary64))) |
Compiled 70 434 to 5 251 computations (92.5% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 885 | 21 | 906 |
| Fresh | 8 | 13 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 896 | 36 | 932 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| ▶ | 14.6% | (*.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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
| 3.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (/.f64 #s(literal -1 binary64) p)) (fabs.f64 p))) | |
| 15.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 22.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (*.f64 r p) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 q q)))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) | |
| 18.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) | |
| 7.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (*.f64 r p) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) | |
| 21.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))) | |
| 23.7% | (*.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 (/.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))) | |
| ▶ | 32.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
| 10.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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))))) | |
| 29.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q))) | |
| 11.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (+.f64 (/.f64 p r) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64))))) | |
| 27.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) | |
| 31.1% | #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)) | |
| 16.0% | #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))) | |
| 18.4% | #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)) | |
| 19.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (log.f64 (/.f64 q r))) (exp.f64 (log.f64 (/.f64 q r))) (*.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 21.2% | #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 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) 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)) | |
| ▶ | 18.0% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
| 22.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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)) | |
| 18.7% | #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))) | |
| 5.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)))) | |
| 14.3% | #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)))) | |
| 6.3% | #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))))) | |
| 19.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (pow.f64 r #s(literal 3 binary64)))) r)) | |
| 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| 5.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) | |
| ▶ | 4.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) |
| ✓ | 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 33.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| ▶ | 21.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
| 25.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r)))) | |
| 30.5% | #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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) | |
| 30.9% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) p) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 p) (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) #s(literal 1/2 binary64)))) | |
| 5.9% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
Compiled 3 511 to 2 239 computations (36.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 r r (*.f64 (neg.f64 p) p)) | |
| cost-diff | 0 | (*.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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| cost-diff | 448 | (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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) | |
| cost-diff | 128 | (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r)) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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))) | |
| cost-diff | 0 | (*.f64 (*.f64 q q) (+.f64 r p)) | |
| cost-diff | 0 | (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) | |
| cost-diff | 0 | #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) | |
| 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 | 320 | (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) | |
| cost-diff | 576 | (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 6144 | (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 1158 |
| 0 | 166 | 1151 |
| 1 | 315 | 1138 |
| 2 | 793 | 1138 |
| 3 | 2629 | 1127 |
| 4 | 7072 | 1127 |
| 0 | 8319 | 1105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
(+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) |
(*.f64 (*.f64 q q) r) |
(*.f64 q q) |
q |
r |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) |
#s(literal 4 binary64) |
(*.f64 r r) |
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(fabs.f64 r) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(*.f64 #s(literal -2 binary64) r) |
#s(literal -2 binary64) |
(fabs.f64 p) |
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
#s(literal -4 binary64) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
#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)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r))) |
(/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)) |
(neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) |
(*.f64 (*.f64 q q) (+.f64 r p)) |
(*.f64 q q) |
q |
(+.f64 r p) |
r |
p |
(*.f64 r r) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
(*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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) |
(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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))) |
#s(literal -1 binary64) |
#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r))) |
(*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r)) |
(/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) |
(+.f64 (/.f64 p r) #s(literal 1 binary64)) |
(/.f64 p r) |
p |
r |
#s(literal 1 binary64) |
(/.f64 (*.f64 q q) r) |
(*.f64 q q) |
q |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(+.f64 (fabs.f64 r) p) |
(fabs.f64 r) |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
#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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(fma.f64 r r (*.f64 (neg.f64 p) p)) |
r |
(*.f64 (neg.f64 p) p) |
(neg.f64 p) |
p |
(/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
(-.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(fabs.f64 p) |
(neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(*.f64 q q) |
q |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
(*.f64 #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (/.f64 r (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))))) (*.f64 #s(literal -4 binary64) p) #s(literal -4 binary64)) (fma.f64 (/.f64 (*.f64 p r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) #s(literal 2 binary64) (fabs.f64 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 (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (/.f64 r (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))))) (*.f64 #s(literal -4 binary64) p) #s(literal -4 binary64)) (fma.f64 (/.f64 (*.f64 p r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) #s(literal 2 binary64) (fabs.f64 p)))) |
(+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(fma.f64 (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (/.f64 r (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))))) (*.f64 #s(literal -4 binary64) p) #s(literal -4 binary64)) (fma.f64 (/.f64 (*.f64 p r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) #s(literal 2 binary64) (fabs.f64 p))) |
(fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) |
(fma.f64 (/.f64 (neg.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (*.f64 (*.f64 #s(literal 4 binary64) r) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))))) (*.f64 #s(literal -2 binary64) r)) (fabs.f64 p)) |
(neg.f64 p) |
p |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(*.f64 r (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (*.f64 q q)) (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (*.f64 (*.f64 q q) r)) (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) (*.f64 (*.f64 q q) r)) |
(*.f64 (*.f64 q q) r) |
(*.f64 q q) |
q |
r |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) |
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)) |
#s(literal 4 binary64) |
(*.f64 r r) |
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) #s(literal 2 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) |
(+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) |
(fabs.f64 r) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) |
(*.f64 #s(literal -2 binary64) r) |
#s(literal -2 binary64) |
(fabs.f64 p) |
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 q q)) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) |
#s(literal -4 binary64) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))))) |
#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)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 q (/.f64 (/.f64 (-.f64 (neg.f64 r) p) r) r)) q))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 q (/.f64 (/.f64 (-.f64 (neg.f64 r) p) r) r)) q)) |
(/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)) |
(*.f64 (*.f64 q (/.f64 (/.f64 (-.f64 (neg.f64 r) p) r) r)) q) |
(neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) |
(*.f64 (*.f64 (-.f64 (neg.f64 r) p) q) q) |
(*.f64 (*.f64 q q) (+.f64 r p)) |
(*.f64 (*.f64 (+.f64 p r) q) q) |
(*.f64 q q) |
q |
(+.f64 r p) |
(+.f64 p r) |
r |
p |
(*.f64 r r) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (/.f64 q r) r) (fma.f64 (/.f64 p r) q q)))) r)) |
(*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (/.f64 q r) r) (fma.f64 (/.f64 p r) q q)))) r) |
(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (/.f64 q r) r) (fma.f64 (/.f64 p r) q q)))) |
#s(literal -1 binary64) |
#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r))) |
#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (/.f64 q r) r) (fma.f64 (/.f64 p r) q q))) |
(*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r)) |
(*.f64 (/.f64 (/.f64 q r) r) (fma.f64 (/.f64 p r) q q)) |
(/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) |
(+.f64 (/.f64 p r) #s(literal 1 binary64)) |
(/.f64 p r) |
p |
r |
#s(literal 1 binary64) |
(/.f64 (*.f64 q q) r) |
(*.f64 (/.f64 q r) q) |
(*.f64 q q) |
q |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 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 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) |
(/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) |
(+.f64 (fabs.f64 r) p) |
(fabs.f64 r) |
(fabs.f64 p) |
#s(literal 1/2 binary64) |
#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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(*.f64 (fma.f64 (+.f64 p r) (/.f64 (-.f64 r p) (-.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)))))) #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) |
(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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(fma.f64 (+.f64 p r) (/.f64 (-.f64 r p) (-.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)))))) |
(fma.f64 r r (*.f64 (neg.f64 p) p)) |
(fma.f64 (neg.f64 p) p (*.f64 r r)) |
r |
(*.f64 (neg.f64 p) p) |
(neg.f64 p) |
p |
(/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
(-.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(fabs.f64 p) |
(neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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))))) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(*.f64 q q) |
q |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) | |
| accuracy | 1.4999834856333614 | (fma.f64 r r (*.f64 (neg.f64 p) p)) | |
| accuracy | 27.985193630676566 | (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) | |
| accuracy | 29.82356666837147 | (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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) | |
| accuracy | 4.806118507531935 | (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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) | |
| accuracy | 11.839058480447827 | (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 21.725047499087985 | (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) | |
| accuracy | 29.253904276336332 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) | |
| accuracy | 4.556562526229561 | (*.f64 (*.f64 q q) (+.f64 r p)) | |
| accuracy | 10.303145741092957 | #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r))) | |
| accuracy | 13.076116306896965 | (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)) | |
| accuracy | 29.253904276336332 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) r) | |
| accuracy | 45.984855298602 | #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 | 13.885366483405203 | #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) | |
| accuracy | 16.38307242990017 | (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) | |
| accuracy | 22.80968970600627 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) | |
| accuracy | 23.69282027239883 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
| 450.0ms | 152× | 1 | valid |
| 84.0ms | 34× | 2 | valid |
| 71.0ms | 58× | 2 | exit |
| 4.0ms | 8× | 0 | valid |
| 3.0ms | 4× | 1 | exit |
Compiled 2 102 to 195 computations (90.7% saved)
ival-add: 287.0ms (52.7% of total)ival-mult: 100.0ms (18.4% of total)adjust: 66.0ms (12.1% of total)ival-div: 35.0ms (6.4% of total)ival-sqrt: 17.0ms (3.1% of total)ival-sub: 15.0ms (2.8% of total)ival-pow2: 12.0ms (2.2% of total)ival-neg: 8.0ms (1.5% of total)ival-fabs: 2.0ms (0.4% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
#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(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r))) |
(neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) |
(*.f64 (*.f64 q q) (+.f64 r p)) |
(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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))) |
(*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
(*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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) |
(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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(fma.f64 r r (*.f64 (neg.f64 p) p)) |
(sqrt.f64 (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)))) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
| Outputs |
|---|
(fabs p) |
(+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (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 (* (* 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)))))))))) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(* -1 (* (pow q 2) r)) |
(- (* -1 (* p (pow q 2))) (* (pow q 2) r)) |
(* (pow q 2) r) |
(+ (* p (pow q 2)) (* (pow q 2) r)) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2) |
(/ (pow q 2) (pow r 2)) |
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) |
(- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (* p (- (* -1 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (* 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 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p))))) (* -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 r 2) |
(+ (* -1 (pow p 2)) (pow r 2)) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(* -1 (/ (pow q 2) r)) |
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* -1 (/ (pow q 2) r))) |
(+ (fabs p) (fabs r)) |
(+ p (+ (fabs p) (fabs r))) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(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)))))))))) |
(/ 1 (- (fabs r) (fabs p))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(* p (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p))) |
(* p (+ (* -4 (/ (pow q 2) (* p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p)))) |
(* -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 (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p))) |
(* -1 (* p (pow q 2))) |
(* p (- (* -1 (/ (* (pow q 2) r) p)) (pow q 2))) |
(* p (pow q 2)) |
(* p (+ (/ (* (pow q 2) r) p) (pow q 2))) |
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) |
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p)))) |
(/ (* p (pow q 2)) (pow r 3)) |
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3)))) |
(* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) |
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))) |
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p)))) |
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2)))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* -1 (pow p 2)) |
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1)) |
(* -1 p) |
(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (+ (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)) (/ (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))) (pow p 3))))))))) (+ 1 (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 r))) (pow p 3))) (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (* (pow r 2) (+ (fabs r) (* -1 r))) (pow p 3)))))))) |
(* -1 (/ (* p (pow q 2)) (pow r 2))) |
(* p (+ (* -1 (/ (pow q 2) (* p r))) (* -1 (/ (pow q 2) (pow r 2))))) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(* 1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 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))))))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (fabs p) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* 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 (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))) |
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))) |
(* -1 (* p (- (/ (* (pow q 2) r) p) (* -1 (pow q 2))))) |
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))))) |
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3)))))) |
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) (- (fabs r) (fabs p)))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) r)) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r)))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (+ (/ (pow q 2) (* p r)) (/ (pow q 2) (pow r 2))))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r))))) |
(* -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))))) |
(+ (fabs p) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* (pow r 2) (+ (* -1 (* p (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (* 4 (+ (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3))))))))))) (* -1 (* p (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))))))) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (/ (* q r) (pow (+ (fabs r) (* 2 q)) 2)))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* r (+ (* -1 (* p (* r (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (/ q (pow (+ (fabs r) (* 2 q)) 2)))))))) |
(* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* r (- (+ (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2))))))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* r (- (+ (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (+ (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (* 4 (+ (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2))))))))))))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* r (- (+ (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (+ (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (+ (* 4 (+ (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2))))))) (* (pow r 2) (+ (* 2 (+ (* 1/256 (/ 1 (* (pow q 4) (pow (+ (fabs r) (* 2 q)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2))))) (* q (+ (fabs r) (* 2 q))))) (* 1/512 (/ 1 (* (pow q 5) (pow (+ (fabs r) (* 2 q)) 2))))))) (* 4 (- (+ (* -1/2 (/ (+ (* -1/2 (/ (* q (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 5))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) (* q (+ (fabs r) (* 2 q))))) (/ (* (pow q 2) (- (* 1/256 (/ (+ (fabs r) (* 2 q)) (pow q 5))) (* 1/128 (/ 1 (pow q 4))))) (pow (+ (fabs r) (* 2 q)) 4)))) q)) (* -1/16 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) (pow q 3)))) (+ (* 5/2048 (/ 1 (* (pow q 5) (pow (+ (fabs r) (* 2 q)) 2)))) (* 3/512 (/ 1 (* (pow q 4) (pow (+ (fabs r) (* 2 q)) 3)))))))))))))))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* 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) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2)) |
(- (* -1 (* (pow q 2) r)) (* p (pow q 2))) |
(* -1 (/ (* p (pow q 2)) (pow r 3))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3)) |
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3)) |
(- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* r (- (* r (- (/ 1 (- (fabs r) (fabs p))) (* 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 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 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 (- (fabs r) (fabs p)))) (* 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)))) |
(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* r (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))))))) |
(* 2 q) |
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(/ 1/2 q) |
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q))) |
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(/ (pow q 2) (+ (fabs r) (* 2 q))) |
(+ (* -1/4 (/ (* q (pow r 2)) (pow (+ (fabs r) (* 2 q)) 2))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -1 (* (pow r 2) (+ (* 1/512 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/256 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/4 (/ (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))) (* q (+ (fabs r) (* 2 q))))))))) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) |
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (fabs p) (* 2 p)) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p)))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p)))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2)))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (+ (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2))) (* 4 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 3)))))))))) |
-2 |
(- (* 2 (/ (fabs r) r)) 2) |
(- (* 4 (/ (pow q 2) (pow r 2))) (+ 2 (+ (* -2 (/ (fabs r) r)) (* -2 (/ (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))) (pow r 2)))))) |
(- (+ (* -8 (/ (* (pow q 2) (fabs r)) (pow r 3))) (* 4 (/ (pow q 2) (pow r 2)))) (+ 2 (+ (* -2 (/ (fabs r) r)) (+ (* -2 (/ (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 3))) (* -2 (/ (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))) (pow r 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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)) |
(* r (- (* -1 (/ (* p (pow q 2)) r)) (pow q 2))) |
(* r (+ (/ (* p (pow q 2)) r) (pow q 2))) |
-1/2 |
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2) |
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2)) |
(/ (pow r 2) (- (fabs r) (fabs p))) |
(* (pow r 2) (- (/ 1 (- (fabs r) (fabs p))) (/ 1 r))) |
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (+ (* -1 (/ p (pow r 2))) (/ 1 r)))) |
(* (pow r 2) (- (+ (* -2 (/ (pow q 2) (pow r 3))) (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p))))) (+ (* -1 (/ p (pow r 2))) (/ 1 r)))) |
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))) |
(* (pow r 2) (- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (- (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (- (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (pow r 2))))) |
r |
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))) |
(/ 1 r) |
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r) |
(/ (pow q 2) r) |
(/ (+ (* -1 (/ (* (pow q 2) (fabs r)) r)) (pow q 2)) r) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 2))) (pow q 2)) (/ (* (pow q 2) (fabs r)) r)) r) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow q 4) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))))) (pow r 3))) (pow q 2)) (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) (pow r 2))) (+ (* 2 (/ (pow q 4) (pow r 2))) (/ (* (pow q 2) (fabs r)) r)))) r) |
(- (fabs p) (* -2 p)) |
(- (+ (fabs p) (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r)) (+ (* -2 p) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r))))) |
(- (+ (fabs p) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 p) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))) |
(- (+ (fabs p) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (pow r 3))) (+ (* 2 (/ (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (pow r 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (* 2 (/ (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 3))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2)))))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -4 (/ (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4))) (pow r 3))) (+ (* -2 p) (+ (* -2 (/ (* p (* (pow q 2) (+ (fabs r) (* -1 p)))) (pow r 3))) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 (/ (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2)))))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))))))) |
(/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 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))))))) |
(+ (fabs p) (* -2 p)) |
(+ (fabs p) (+ (* -2 p) (* -2 (/ (* p (fabs r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* 2 (* p (fabs r))) (/ (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (/ (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r))))) r)) r)) (* 2 (* p (fabs r)))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (* 2 (* p (fabs r)))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 4 (* (pow q 2) (fabs r)))) r)) (* 2 (* p (fabs r))))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (+ (* -1 (/ (+ (* -1 (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r)))))) (* 4 (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))))) r)) (* 4 (* (pow q 2) (fabs r))))) r)) (* 2 (* p (fabs r))))) r)))) |
2 |
(+ 2 (* 2 (/ (fabs r) r))) |
(+ 2 (* -1 (/ (+ (* -2 (fabs r)) (* -1 (/ (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))) r))) r))) |
(+ 2 (* -1 (/ (+ (* -2 (fabs r)) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))) (* -1 (/ (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r)))) r)))) r))) 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 (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (/ (* p (pow q 2)) r) (* -1 (pow q 2))))) |
(* -1 (* r (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))))) |
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2) |
(* (pow r 2) (+ (/ 1 r) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 2 (/ (pow q 2) r))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow r 2) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p)) (/ (pow q 2) r)) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))) |
(/ -1 r) |
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)) |
(* -1 (/ (+ (/ (* (pow q 2) (fabs r)) r) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) r)) (* 2 (/ (pow q 4) r))) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 4) (fabs r)) r)) (* -1 (/ (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r))) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r)) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(- (fabs p) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(+ (fabs p) (* 2 (/ (* p r) (+ r (fabs r))))) |
(+ (fabs p) (+ (* -8 (/ (* p (pow q 2)) (pow (+ r (fabs r)) 2))) (* 2 (/ (* p r) (+ r (fabs r)))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* -1 (* p (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))))))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (* (pow q 2) (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4)))))))))) (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (* -8 (/ p (pow (+ r (fabs r)) 2))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (+ (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2)))) (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* -1 (* p (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))))))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(* -2 (/ r (+ r (fabs r)))) |
(+ (* -2 (/ r (+ r (fabs r)))) (* 8 (/ (pow q 2) (pow (+ r (fabs r)) 2)))) |
(+ (* -2 (/ r (+ r (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))))) (* 8 (/ 1 (pow (+ r (fabs r)) 2)))))) |
(+ (* -2 (/ r (+ r (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (+ (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* (pow q 2) (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))))))) (* 8 (/ 1 (pow (+ r (fabs 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))))) |
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* (pow q 2) (+ p r))) |
(* (pow q 2) (+ p r)) |
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)) |
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p) |
(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p) |
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p) |
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs 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))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p) |
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(+ r (* 2 (/ (pow q 2) r))) |
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r))))) |
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))) |
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r)) |
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r)) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r)) |
(/ (pow q 2) (+ r (fabs r))) |
(* (pow q 2) (+ (* -2 (/ (pow q 2) (* r (pow (+ r (fabs r)) 2)))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 5) (pow (+ r (fabs r)) 2)))))))) (+ (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3))))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (+ (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(* -1 (/ (* (pow q 2) (+ p r)) (pow r 2))) |
(- 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) |
(+ (fabs p) (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))) (* -1 (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) (pow q 3)))))) |
(* -2 q) |
(* q (- (/ (fabs p) q) (+ 2 (* -1 (/ (fabs r) q))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (/ (fabs p) q)) (+ 2 (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q)))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 3))) (/ (fabs p) q))) (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3))) (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q))))))) |
(/ (+ (* -1 r) (* 1/2 r)) q) |
(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (* 1/2 (/ (* r (fabs r)) q))))) q) |
(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (+ (* 1/2 (/ (* r (fabs r)) q)) (+ (* 2 (/ (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))) (pow q 2))) (* 4 (/ (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))) (pow q 2)))))))) q) |
(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (+ (* 1/2 (/ (* r (fabs r)) q)) (+ (* 2 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))))) (* -1/32 (* (pow r 3) (fabs r)))) (pow q 3))) (+ (* 2 (/ (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))) (pow q 2))) (+ (* 4 (/ (+ (* -1/2 (+ (* -1 (* (fabs r) (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2))))))) (+ (* -1/16 (* r (* (fabs r) (+ (pow r 2) (pow (fabs r) 2))))) (* 1/32 (* (pow r 3) (fabs r)))))) (* 1/64 (* (pow r 3) (fabs r)))) (pow q 3))) (* 4 (/ (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))) (pow q 2)))))))))) q) |
(* -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)) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) |
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2))))) |
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2)) |
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2)) |
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1)) |
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q) |
(* 1/2 q) |
(* q (+ 1/2 (* -1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2)))) (* 1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow r 2) (pow q 2))) (* 1/4 (/ (fabs r) q)))))) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
(* 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))))))) |
(+ (fabs p) (/ (* p (+ (* -1 r) (* 1/2 r))) q)) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) q))) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (+ (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) q))) q))) |
(* -1 (* q (- (* -1 (/ (- (fabs p) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (- (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (* -4 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))))) q))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(* -1 (/ (+ (* -1 r) (* 1/2 r)) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))) q)) (* 1/2 r))) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))))) q)) (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) (* 1/2 r))) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))))) (* -1/32 (* (pow r 3) (fabs r))))) (* 4 (+ (* -1/2 (+ (* -1 (* (fabs r) (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2))))))) (+ (* -1/16 (* r (* (fabs r) (+ (pow r 2) (pow (fabs r) 2))))) (* 1/32 (* (pow r 3) (fabs r)))))) (* 1/64 (* (pow r 3) (fabs r)))))) q)) (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) (* 1/2 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 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2))) |
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)) |
(* -1/2 q) |
(* -1 (* q (+ 1/2 (* 1/4 (/ (fabs r) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow r 2) q))) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* -1/32 (/ (* (pow r 2) (fabs r)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (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 | |
|---|---|---|---|---|
| 20.0ms | r | @ | inf | ((+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ (+ (/ p r) 1) r) (/ (* q q) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (/ (neg (* (* q q) (+ r p))) (* r r)) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (- (fabs r) (fabs p)))) |
| 19.0ms | r | @ | 0 | ((+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ (+ (/ p r) 1) r) (/ (* q q) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (/ (neg (* (* q q) (+ r p))) (* r r)) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (- (fabs r) (fabs p)))) |
| 14.0ms | q | @ | 0 | ((+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ (+ (/ p r) 1) r) (/ (* q q) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (/ (neg (* (* q q) (+ r p))) (* r r)) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (- (fabs r) (fabs p)))) |
| 11.0ms | p | @ | 0 | ((+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ (+ (/ p r) 1) r) (/ (* q q) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (/ (neg (* (* q q) (+ r p))) (* r r)) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (- (fabs r) (fabs p)))) |
| 9.0ms | q | @ | inf | ((+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ (+ (/ p r) 1) r) (/ (* q q) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (/ (neg (* (* q q) (+ r p))) (* r r)) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (- (fabs r) (fabs p)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2413 | 17846 |
| 1 | 6895 | 17363 |
| 0 | 8254 | 16476 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fabs p) |
(+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (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 (* (* 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)))))))))) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(* -1 (* (pow q 2) r)) |
(- (* -1 (* p (pow q 2))) (* (pow q 2) r)) |
(* (pow q 2) r) |
(+ (* p (pow q 2)) (* (pow q 2) r)) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2) |
(/ (pow q 2) (pow r 2)) |
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) |
(- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (* p (- (* -1 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(- (+ (* 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 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) |
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p))))) (* -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 r 2) |
(+ (* -1 (pow p 2)) (pow r 2)) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(* -1 (/ (pow q 2) r)) |
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* -1 (/ (pow q 2) r))) |
(+ (fabs p) (fabs r)) |
(+ p (+ (fabs p) (fabs r))) |
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) |
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) |
(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)))))))))) |
(/ 1 (- (fabs r) (fabs p))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(* p (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p))) |
(* p (+ (* -4 (/ (pow q 2) (* p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p)))) |
(* -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 (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p))) |
(* -1 (* p (pow q 2))) |
(* p (- (* -1 (/ (* (pow q 2) r) p)) (pow q 2))) |
(* p (pow q 2)) |
(* p (+ (/ (* (pow q 2) r) p) (pow q 2))) |
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) |
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p)))) |
(/ (* p (pow q 2)) (pow r 3)) |
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3)))) |
(* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) |
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))) |
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p)))) |
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2)))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* -1 (pow p 2)) |
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1)) |
(* -1 p) |
(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (+ (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)) (/ (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))) (pow p 3))))))))) (+ 1 (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 r))) (pow p 3))) (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (* (pow r 2) (+ (fabs r) (* -1 r))) (pow p 3)))))))) |
(* -1 (/ (* p (pow q 2)) (pow r 2))) |
(* p (+ (* -1 (/ (pow q 2) (* p r))) (* -1 (/ (pow q 2) (pow r 2))))) |
p |
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))) |
(* 1/2 (/ p r)) |
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 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))))))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (fabs p) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* 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 (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))) |
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))) |
(* -1 (* p (- (/ (* (pow q 2) r) p) (* -1 (pow q 2))))) |
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))))) |
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))) |
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3)))))) |
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) (- (fabs r) (fabs p)))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) r)) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r)))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (+ (/ (pow q 2) (* p r)) (/ (pow q 2) (pow r 2))))) |
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r))))) |
(* -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))))) |
(+ (fabs p) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* (pow r 2) (+ (* -1 (* p (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (* 4 (+ (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3))))))))))) (* -1 (* p (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))))))) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (/ (* q r) (pow (+ (fabs r) (* 2 q)) 2)))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* r (+ (* -1 (* p (* r (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (/ q (pow (+ (fabs r) (* 2 q)) 2)))))))) |
(* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* r (- (+ (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2))))))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* r (- (+ (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (+ (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (* 4 (+ (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2))))))))))))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* r (- (+ (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (+ (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (+ (* 4 (+ (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2))))))) (* (pow r 2) (+ (* 2 (+ (* 1/256 (/ 1 (* (pow q 4) (pow (+ (fabs r) (* 2 q)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2))))) (* q (+ (fabs r) (* 2 q))))) (* 1/512 (/ 1 (* (pow q 5) (pow (+ (fabs r) (* 2 q)) 2))))))) (* 4 (- (+ (* -1/2 (/ (+ (* -1/2 (/ (* q (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 5))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) (* q (+ (fabs r) (* 2 q))))) (/ (* (pow q 2) (- (* 1/256 (/ (+ (fabs r) (* 2 q)) (pow q 5))) (* 1/128 (/ 1 (pow q 4))))) (pow (+ (fabs r) (* 2 q)) 4)))) q)) (* -1/16 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) (pow q 3)))) (+ (* 5/2048 (/ 1 (* (pow q 5) (pow (+ (fabs r) (* 2 q)) 2)))) (* 3/512 (/ 1 (* (pow q 4) (pow (+ (fabs r) (* 2 q)) 3)))))))))))))))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))) |
(* 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) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2)) |
(- (* -1 (* (pow q 2) r)) (* p (pow q 2))) |
(* -1 (/ (* p (pow q 2)) (pow r 3))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3)) |
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3)) |
(- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) |
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* r (- (* r (- (/ 1 (- (fabs r) (fabs p))) (* 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 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 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 (- (fabs r) (fabs p)))) (* 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)))) |
(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* r (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))))))) |
(* 2 q) |
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(/ 1/2 q) |
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q))) |
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q))) |
(/ (pow q 2) (+ (fabs r) (* 2 q))) |
(+ (* -1/4 (/ (* q (pow r 2)) (pow (+ (fabs r) (* 2 q)) 2))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -1 (* (pow r 2) (+ (* 1/512 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/256 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/4 (/ (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))) (* q (+ (fabs r) (* 2 q))))))))) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) |
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r) |
(sqrt (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3)))))))))) |
(+ (fabs p) (* 2 p)) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p)))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p)))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2)))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (+ (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2))) (* 4 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 3)))))))))) |
-2 |
(- (* 2 (/ (fabs r) r)) 2) |
(- (* 4 (/ (pow q 2) (pow r 2))) (+ 2 (+ (* -2 (/ (fabs r) r)) (* -2 (/ (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))) (pow r 2)))))) |
(- (+ (* -8 (/ (* (pow q 2) (fabs r)) (pow r 3))) (* 4 (/ (pow q 2) (pow r 2)))) (+ 2 (+ (* -2 (/ (fabs r) r)) (+ (* -2 (/ (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 3))) (* -2 (/ (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))) (pow r 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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)) |
(* r (- (* -1 (/ (* p (pow q 2)) r)) (pow q 2))) |
(* r (+ (/ (* p (pow q 2)) r) (pow q 2))) |
-1/2 |
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) |
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2) |
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2)) |
(/ (pow r 2) (- (fabs r) (fabs p))) |
(* (pow r 2) (- (/ 1 (- (fabs r) (fabs p))) (/ 1 r))) |
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (+ (* -1 (/ p (pow r 2))) (/ 1 r)))) |
(* (pow r 2) (- (+ (* -2 (/ (pow q 2) (pow r 3))) (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p))))) (+ (* -1 (/ p (pow r 2))) (/ 1 r)))) |
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))) |
(* (pow r 2) (- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (- (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (- (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (pow r 2))))) |
r |
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))) |
(/ 1 r) |
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r) |
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r) |
(/ (pow q 2) r) |
(/ (+ (* -1 (/ (* (pow q 2) (fabs r)) r)) (pow q 2)) r) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 2))) (pow q 2)) (/ (* (pow q 2) (fabs r)) r)) r) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow q 4) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))))) (pow r 3))) (pow q 2)) (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) (pow r 2))) (+ (* 2 (/ (pow q 4) (pow r 2))) (/ (* (pow q 2) (fabs r)) r)))) r) |
(- (fabs p) (* -2 p)) |
(- (+ (fabs p) (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r)) (+ (* -2 p) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r))))) |
(- (+ (fabs p) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 p) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))) |
(- (+ (fabs p) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (pow r 3))) (+ (* 2 (/ (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (pow r 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))) (pow r 2))) (+ (* 2 (/ (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 3))) (+ (/ (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) r) (/ (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))) (pow r 2)))))))) (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -4 (/ (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4))) (pow r 3))) (+ (* -2 p) (+ (* -2 (/ (* p (* (pow q 2) (+ (fabs r) (* -1 p)))) (pow r 3))) (+ (* -2 (/ (* (pow q 2) (+ (fabs r) (* -1 p))) (pow r 2))) (+ (* -2 (/ (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2)))))) (pow r 3))) (+ (* -1 (/ (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))) (pow r 2))) (+ (* -1 (/ (pow (+ (fabs r) (* -1 p)) 2) r)) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)))))))))))) |
(/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 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))))))) |
(+ (fabs p) (* -2 p)) |
(+ (fabs p) (+ (* -2 p) (* -2 (/ (* p (fabs r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* 2 (* p (fabs r))) (/ (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (/ (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r))))) r)) r)) (* 2 (* p (fabs r)))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (* 2 (* p (fabs r)))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 4 (* (pow q 2) (fabs r)))) r)) (* 2 (* p (fabs r))))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (+ (* -1 (/ (+ (* -1 (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r)))))) (* 4 (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))))) r)) (* 4 (* (pow q 2) (fabs r))))) r)) (* 2 (* p (fabs r))))) r)))) |
2 |
(+ 2 (* 2 (/ (fabs r) r))) |
(+ 2 (* -1 (/ (+ (* -2 (fabs r)) (* -1 (/ (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))) r))) r))) |
(+ 2 (* -1 (/ (+ (* -2 (fabs r)) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))) (* -1 (/ (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r)))) r)))) r))) 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 (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (- (/ (* p (pow q 2)) r) (* -1 (pow q 2))))) |
(* -1 (* r (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))))) |
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2) |
(* (pow r 2) (+ (/ 1 r) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 2 (/ (pow q 2) r))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p))))) |
(* (pow r 2) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p)) (/ (pow q 2) r)) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))) |
(/ -1 r) |
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)) |
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)) |
(* -1 (/ (+ (/ (* (pow q 2) (fabs r)) r) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) r)) (* 2 (/ (pow q 4) r))) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 4) (fabs r)) r)) (* -1 (/ (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r))) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r)) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(- (fabs p) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) |
(* -1 (* r (+ 1 (* -1 (/ p r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r))))) |
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r))))) |
(+ (fabs p) (* 2 (/ (* p r) (+ r (fabs r))))) |
(+ (fabs p) (+ (* -8 (/ (* p (pow q 2)) (pow (+ r (fabs r)) 2))) (* 2 (/ (* p r) (+ r (fabs r)))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* -1 (* p (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))))))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (* (pow q 2) (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4)))))))))) (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (* -8 (/ p (pow (+ r (fabs r)) 2))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (+ (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2)))) (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* -1 (* p (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))))))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(* -2 (/ r (+ r (fabs r)))) |
(+ (* -2 (/ r (+ r (fabs r)))) (* 8 (/ (pow q 2) (pow (+ r (fabs r)) 2)))) |
(+ (* -2 (/ r (+ r (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))))) (* 8 (/ 1 (pow (+ r (fabs r)) 2)))))) |
(+ (* -2 (/ r (+ r (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (+ (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* (pow q 2) (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))))))) (* 8 (/ 1 (pow (+ r (fabs 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))))) |
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (* (pow q 2) (+ p r))) |
(* (pow q 2) (+ p r)) |
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2) |
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)) |
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p) |
(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p) |
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p) |
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs 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))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p) |
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(+ r (* 2 (/ (pow q 2) r))) |
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r))))) |
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))) |
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r)) |
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r)) |
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r)) |
(/ (pow q 2) (+ r (fabs r))) |
(* (pow q 2) (+ (* -2 (/ (pow q 2) (* r (pow (+ r (fabs r)) 2)))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 5) (pow (+ r (fabs r)) 2)))))))) (+ (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3))))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (+ (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(* -1 (/ (* (pow q 2) (+ p r)) (pow r 2))) |
(- 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) |
(+ (fabs p) (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))) (* -1 (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) (pow q 3)))))) |
(* -2 q) |
(* q (- (/ (fabs p) q) (+ 2 (* -1 (/ (fabs r) q))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (/ (fabs p) q)) (+ 2 (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q)))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 3))) (/ (fabs p) q))) (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3))) (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q))))))) |
(/ (+ (* -1 r) (* 1/2 r)) q) |
(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (* 1/2 (/ (* r (fabs r)) q))))) q) |
(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (+ (* 1/2 (/ (* r (fabs r)) q)) (+ (* 2 (/ (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))) (pow q 2))) (* 4 (/ (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))) (pow q 2)))))))) q) |
(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (+ (* 1/2 (/ (* r (fabs r)) q)) (+ (* 2 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))))) (* -1/32 (* (pow r 3) (fabs r)))) (pow q 3))) (+ (* 2 (/ (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))) (pow q 2))) (+ (* 4 (/ (+ (* -1/2 (+ (* -1 (* (fabs r) (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2))))))) (+ (* -1/16 (* r (* (fabs r) (+ (pow r 2) (pow (fabs r) 2))))) (* 1/32 (* (pow r 3) (fabs r)))))) (* 1/64 (* (pow r 3) (fabs r)))) (pow q 3))) (* 4 (/ (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))) (pow q 2)))))))))) q) |
(* -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)) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) |
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2))))) |
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2)) |
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2)) |
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1)) |
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q) |
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q) |
(* 1/2 q) |
(* q (+ 1/2 (* -1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2)))) (* 1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow r 2) (pow q 2))) (* 1/4 (/ (fabs r) q)))))) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
(* 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))))))) |
(+ (fabs p) (/ (* p (+ (* -1 r) (* 1/2 r))) q)) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) q))) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (+ (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) q))) q))) |
(* -1 (* q (- (* -1 (/ (- (fabs p) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (- (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (* -4 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))))) q))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(* -1 (/ (+ (* -1 r) (* 1/2 r)) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))) q)) (* 1/2 r))) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))))) q)) (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) (* 1/2 r))) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))))) (* -1/32 (* (pow r 3) (fabs r))))) (* 4 (+ (* -1/2 (+ (* -1 (* (fabs r) (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2))))))) (+ (* -1/16 (* r (* (fabs r) (+ (pow r 2) (pow (fabs r) 2))))) (* 1/32 (* (pow r 3) (fabs r)))))) (* 1/64 (* (pow r 3) (fabs r)))))) q)) (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) (* 1/2 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 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2))) |
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))) |
(/ -1/2 q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)) |
(* -1/2 q) |
(* -1 (* q (+ 1/2 (* 1/4 (/ (fabs r) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow r 2) q))) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* -1/32 (/ (* (pow r 2) (fabs r)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (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 |
|---|
(fabs p) |
(fabs.f64 p) |
(+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(fma.f64 (neg.f64 p) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r))) (fabs.f64 p)) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r))) (fabs.f64 p)) (*.f64 p (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)))))) |
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) |
(+ (* 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 (*.f64 p r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.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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(* -1 (/ (* (pow q 2) (+ p r)) (pow r 2))) |
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(- p r) |
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(* -2 q) |
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(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (/ (fabs p) q)) (+ 2 (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q)))))) |
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(/ (+ (* -1 r) (* 1/2 r)) q) |
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(/ (+ (* -1 r) (+ (* -1/2 (/ (* r (fabs r)) q)) (+ (* 1/2 r) (+ (* 1/2 (/ (* r (fabs r)) q)) (+ (* 2 (/ (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))) (pow q 2))) (* 4 (/ (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))) (pow q 2)))))))) q) |
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(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fabs.f64 p) (/.f64 (fma.f64 (neg.f64 p) (*.f64 r #s(literal -1/2 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))))) q)) (neg.f64 (fabs.f64 r))) q) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (- (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (* -4 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))))) q))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fabs.f64 p) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (*.f64 r #s(literal -1/2 binary64)) (/.f64 (fma.f64 (neg.f64 p) (*.f64 (*.f64 r (fabs.f64 r)) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))) (*.f64 #s(literal -1/32 binary64) (pow.f64 (fabs.f64 r) #s(literal 3 binary64)))))) q)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))))) q)) (neg.f64 (fabs.f64 r))) q) #s(literal -2 binary64))) |
(* -1 (/ (+ (* -1 r) (* 1/2 r)) q)) |
(neg.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))) q)) (* 1/2 r))) q)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) r (neg.f64 (/.f64 (*.f64 (*.f64 r (fabs.f64 r)) #s(literal 0 binary64)) q))) r) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3))))) q)) (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) (* 1/2 r))) q)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) r (neg.f64 (/.f64 (fma.f64 (*.f64 r (fabs.f64 r)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 r #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 r #s(literal 3 binary64)))))) q))) q))) r) q)) |
(* -1 (/ (+ (* -1 r) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3))))) (* -1/32 (* (pow r 3) (fabs r))))) (* 4 (+ (* -1/2 (+ (* -1 (* (fabs r) (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2))))))) (+ (* -1/16 (* r (* (fabs r) (+ (pow r 2) (pow (fabs r) 2))))) (* 1/32 (* (pow r 3) (fabs r)))))) (* 1/64 (* (pow r 3) (fabs r)))))) q)) (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) (* 1/2 r))) q)) |
(neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (-.f64 (*.f64 (*.f64 r (fabs.f64 r)) #s(literal 0 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 r #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 r #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 r #s(literal 3 binary64)) (fabs.f64 r)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (fabs.f64 r)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) r) (*.f64 (fabs.f64 r) (fma.f64 r r (*.f64 r r))) (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 r #s(literal 3 binary64))) (fabs.f64 r)))))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 r #s(literal 3 binary64))) (fabs.f64 r) (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 r #s(literal 3 binary64)))))))) q)) q)) q)) r) q)) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q))) q) #s(literal -1 binary64))) |
(* -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 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.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)))) q)) q) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))))) q) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (neg.f64 (/.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)))) q))) q) #s(literal -1 binary64))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64))) |
(/ -1/2 q) |
(/.f64 #s(literal -1/2 binary64) q) |
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)) |
(neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) (neg.f64 (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))))) #s(literal 1/2 binary64)) q)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)) |
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 r q) (/.f64 r q)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))))) q)) |
(* -1/2 q) |
(*.f64 #s(literal -1/2 binary64) q) |
(* -1 (* q (+ 1/2 (* 1/4 (/ (fabs r) q))))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fabs.f64 r) q) #s(literal 1/2 binary64))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow r 2) q))) (* 1/4 (fabs r))) q))))) |
(*.f64 (neg.f64 q) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r r) q) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 r r) q))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 r))) q))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* -1/32 (/ (* (pow r 2) (fabs r)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* 1/4 (fabs r))) q))))) |
(*.f64 (neg.f64 q) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fabs.f64 r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))) q)) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) q))) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r)))) q) (*.f64 #s(literal -1/4 binary64) (fabs.f64 r))) q))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r r) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r r) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 r r)))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fabs.f64 r) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 r) #s(literal 3 binary64)))) q)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q) #s(literal -2 binary64))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 748 |
| 0 | 164 | 726 |
| 1 | 673 | 667 |
| 2 | 5708 | 667 |
| 0 | 9029 | 665 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
#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(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r))) |
(neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) |
(*.f64 (*.f64 q q) (+.f64 r p)) |
(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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))) |
(*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q q) r)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
(*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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) |
(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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(fma.f64 r r (*.f64 (neg.f64 p) p)) |
(sqrt.f64 (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)))) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)) |
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64)) (*.f64 p p)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p) (neg.f64 (fabs.f64 p))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 p) (-.f64 (fabs.f64 p) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p))) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64))) (-.f64 (fabs.f64 p) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64)) (*.f64 p p))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p) (neg.f64 (fabs.f64 p))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fabs.f64 p) (-.f64 (fabs.f64 p) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p))) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64)) (*.f64 p p)) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p) (neg.f64 (fabs.f64 p)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) (fabs.f64 p))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (fma.f64 (fabs.f64 p) (-.f64 (fabs.f64 p) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p))) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p) (neg.f64 (fabs.f64 p))) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p)) #s(literal 2 binary64)) (*.f64 p p)))) |
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#s(literal 1/2 binary64) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 r (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) 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) p) (fabs.f64 r)) r) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) 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) p) (fabs.f64 r)) r) #s(literal -1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 r (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)) (pow.f64 r #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (*.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q)))) #s(literal 1/2 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 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 q q) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 q q))))) #s(literal 1/2 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 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 q q))))) |
(/.f64 (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 (*.f64 q q) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 q q)))))) |
(/.f64 (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 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 q q)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) (fma.f64 p p (*.f64 (neg.f64 r) r))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 r r (fma.f64 p p (fabs.f64 (*.f64 r p))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 r r (*.f64 (neg.f64 p) p)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 r r (*.f64 (neg.f64 p) p))) (+.f64 (fabs.f64 p) (fabs.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64)))) (fma.f64 r r (fma.f64 p p (fabs.f64 (*.f64 r p))))) |
(*.f64 (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 r) (fabs.f64 p))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (fabs.f64 r) (fabs.f64 p))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64))) |
Compiled 102 512 to 6 709 computations (93.5% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 015 | 17 | 1 032 |
| Fresh | 10 | 19 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 029 | 39 | 1 068 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 14.8% | (*.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 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 p p))))))) | |
| 3.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (/.f64 #s(literal -1 binary64) p)) (fabs.f64 p))) | |
| 15.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 9.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 22.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (*.f64 r p) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 q q)))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) | |
| ▶ | 18.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
| 21.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))) | |
| 33.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (*.f64 #s(literal -4 binary64) q) (/.f64 q (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p) (fabs.f64 p))))) | |
| 27.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 r r) q) (*.f64 #s(literal 2 binary64) q))) (fabs.f64 r))))))) | |
| 9.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)))) (fabs.f64 r))))))) | |
| ▶ | 43.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
| 24.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) #s(approx (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+.f64 (fma.f64 (*.f64 q q) (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 p (pow.f64 (+.f64 (fabs.f64 r) r) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (fabs.f64 r) r))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 p r)) (+.f64 (fabs.f64 r) r))) (fabs.f64 p))))) | |
| 31.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) #s(approx (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (*.f64 p (fma.f64 (/.f64 #s(literal -4 binary64) p) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r))) (-.f64 (/.f64 (fabs.f64 p) p) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)))))))))) | |
| 10.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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))))) | |
| 29.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q))) | |
| 11.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (+.f64 (/.f64 p r) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64))))) | |
| 27.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) | |
| 31.1% | #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)) | |
| 19.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (log.f64 (/.f64 q r))) (exp.f64 (log.f64 (/.f64 q r))) (*.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 18.7% | #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))) | |
| 5.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)))) | |
| 14.3% | #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)))) | |
| 6.3% | #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))))) | |
| 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| ▶ | 5.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) |
| ✓ | 4.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) |
| ✓ | 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 33.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| ▶ | 23.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
| 29.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 r p)) r)))) | |
| 19.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (*.f64 (+.f64 r p) q) q) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) | |
| 20.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r))))) | |
| 26.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q p) (/.f64 q r))))))) | |
| 29.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) | |
| 30.5% | #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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) | |
| 6.3% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r r)) (-.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| ▶ | 9.5% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
| 5.9% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
Compiled 4 771 to 2 740 computations (42.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) | |
| cost-diff | 192 | (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) | |
| cost-diff | 832 | (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r))) | |
| cost-diff | 0 | (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) | |
| cost-diff | 0 | (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r))) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) | |
| 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 | #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) | |
| cost-diff | 128 | (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1097 |
| 0 | 184 | 1087 |
| 1 | 346 | 1072 |
| 2 | 789 | 1067 |
| 3 | 2394 | 1059 |
| 4 | 6328 | 1038 |
| 0 | 8194 | 1020 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
(+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
#s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) |
(fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p)) |
(*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) |
p |
(/.f64 r (+.f64 (fabs.f64 r) r)) |
r |
(+.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
(fabs.f64 p) |
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
#s(literal -4 binary64) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(*.f64 q q) |
q |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) |
#s(literal 4 binary64) |
(*.f64 r 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)) |
(*.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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r))) |
(/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)) |
(neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) |
#s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) |
(*.f64 (*.f64 q q) r) |
(*.f64 q q) |
q |
r |
(*.f64 r r) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r))) |
(*.f64 r r) |
r |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
#s(literal 1/2 binary64) |
(-.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(fabs.f64 p) |
p |
(/.f64 #s(literal 1/2 binary64) r) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
#s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r) |
(fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
r |
#s(literal -1 binary64) |
(*.f64 p #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) |
(fabs.f64 r) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) |
(pow.f64 (-.f64 p r) #s(literal 2 binary64)) |
(-.f64 p r) |
(fabs.f64 p) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) (fabs.f64 r))) q #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (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) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) (fabs.f64 r))) q #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))))) |
(+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) (fabs.f64 r))) q #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) |
#s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) |
#s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) |
(fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p)) |
(fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)) |
(*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) |
(*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) |
p |
(/.f64 r (+.f64 (fabs.f64 r) r)) |
r |
(+.f64 (fabs.f64 r) r) |
(fabs.f64 r) |
(fabs.f64 p) |
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) (fabs.f64 r))) |
#s(literal -4 binary64) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) (fabs.f64 r))) |
(*.f64 q q) |
q |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) (fabs.f64 r)) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r))) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) |
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 r r)) |
#s(literal 4 binary64) |
(*.f64 r 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)) |
(*.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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (*.f64 (neg.f64 r) r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (*.f64 (neg.f64 r) r))) |
(/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)) |
(/.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (*.f64 (neg.f64 r) r)) |
(neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) |
#s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) |
(*.f64 (*.f64 q q) r) |
(*.f64 q q) |
q |
r |
(*.f64 r r) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) r #s(literal -1/2 binary64)) r)) |
(*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) r #s(literal -1/2 binary64)) r) |
(*.f64 r r) |
r |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
#s(literal 1/2 binary64) |
(-.f64 (fabs.f64 r) (fabs.f64 p)) |
(fabs.f64 r) |
(fabs.f64 p) |
p |
(/.f64 #s(literal 1/2 binary64) r) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(*.f64 (+.f64 (/.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (*.f64 p r) #s(literal 2 binary64) (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r))) (fabs.f64 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) |
(fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(+.f64 (/.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (*.f64 p r) #s(literal 2 binary64) (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r))) (fabs.f64 p)) |
#s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) |
#s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (*.f64 p r) #s(literal 2 binary64) (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r) |
(fma.f64 (*.f64 p r) #s(literal 2 binary64) (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) |
(neg.f64 (fma.f64 p #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r))) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) |
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) |
(*.f64 q q) |
q |
#s(literal 4 binary64) |
(*.f64 p p) |
p |
r |
#s(literal -1 binary64) |
(*.f64 p #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) |
(/.f64 #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)))) (fabs.f64 r))) |
(+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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)))) (fabs.f64 r)) |
(fabs.f64 r) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #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) |
(fabs.f64 p) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1712015104656315 | (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r) | |
| accuracy | 2.55101043230018 | (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) | |
| accuracy | 10.152568463108206 | (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) | |
| accuracy | 12.45066017687058 | (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) | |
| accuracy | 8.233984640541617 | (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) | |
| accuracy | 12.305035397897905 | (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r))) | |
| accuracy | 20.007323096030564 | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) | |
| accuracy | 4.893007734792798 | (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)) | |
| accuracy | 5.681896935677697 | #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) | |
| accuracy | 7.443094883390156 | #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r))) | |
| accuracy | 11.329448235456113 | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) p) | |
| accuracy | 19.87875688342525 | #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 | 0.49929996991086256 | #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) | |
| accuracy | 8.063755833762169 | (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) | |
| accuracy | 10.477669440967315 | #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) | |
| accuracy | 12.452848198143245 | (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
| 97.0ms | 118× | 1 | exit |
| 59.0ms | 29× | 2 | valid |
| 42.0ms | 32× | 1 | valid |
| 30.0ms | 51× | 0 | invalid |
| 26.0ms | 25× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 1 911 to 225 computations (88.2% saved)
ival-mult: 51.0ms (24% of total)adjust: 45.0ms (21.1% of total)ival-add: 43.0ms (20.2% of total)ival-div: 32.0ms (15% of total)ival-sqrt: 19.0ms (8.9% of total)ival-pow2: 9.0ms (4.2% of total)ival-sub: 6.0ms (2.8% of total)ival-neg: 5.0ms (2.3% of total)ival-fabs: 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 |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 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)) |
(*.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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r))) |
(/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)) |
(neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) |
(*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 r r) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r) |
(fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
#s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
#s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) |
| Outputs |
|---|
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) |
(+ (* -1/2 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* 1/2 (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* 1/2 (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))))))) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (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)))))))))) |
(* 1/2 p) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(* -1 (/ (pow q 2) r)) |
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* -1 (/ (pow q 2) r))) |
(* -1 (* (pow q 2) r)) |
(- (* -1 (* p (pow q 2))) (* (pow q 2) r)) |
(* (pow r 2) (- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r)))) |
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p))))) (* -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 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r))) |
(* -4 (pow q 2)) |
(+ (* -4 (pow q 2)) (* 2 (* p r))) |
(+ (* -4 (pow q 2)) (* p (+ (* -1 p) (* 2 r)))) |
(* -4 (/ (pow q 2) r)) |
(+ (* -4 (/ (pow q 2) r)) (* 2 p)) |
(+ (* -4 (/ (pow q 2) r)) (* p (+ 2 (* -1 (/ p r))))) |
(fabs p) |
(+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* (pow q 2) r) |
(+ (* p (pow q 2)) (* (pow q 2) r)) |
(/ 1/2 (- (fabs r) (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)))))))))) |
(* 4 (/ (pow q 2) r)) |
(+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(* p (+ (* -4 (/ (pow q 2) (* p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p)))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2)))) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (+ (* 1/2 (/ (- (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 r)))) (* (pow r 2) (+ (fabs r) (* -1 r))))) (pow p 3))) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2))))) 1/2)) |
(* -1 p) |
(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (+ (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)) (/ (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))) (pow p 3))))))))) (+ 1 (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 r))) (pow p 3))) (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (* (pow r 2) (+ (fabs r) (* -1 r))) (pow p 3)))))))) |
(* 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 (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p))) |
(* -1 (/ (* p (pow q 2)) (pow r 2))) |
(* p (+ (* -1 (/ (pow q 2) (* p r))) (* -1 (/ (pow q 2) (pow r 2))))) |
(* -1 (* p (pow q 2))) |
(* p (- (* -1 (/ (* (pow q 2) r) p)) (pow q 2))) |
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p)))) |
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2)))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* -1 (pow p 2)) |
(* (pow p 2) (- (* 2 (/ r p)) 1)) |
(* (pow p 2) (- (+ (* -4 (/ (pow q 2) (pow p 2))) (* 2 (/ r p))) 1)) |
(* -1 (/ (pow p 2) r)) |
(* (pow p 2) (- (* 2 (/ 1 p)) (/ 1 r))) |
(* (pow p 2) (- (+ (* -4 (/ (pow q 2) (* (pow p 2) r))) (* 2 (/ 1 p))) (/ 1 r))) |
(* p (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p))) |
(* p (pow q 2)) |
(* p (+ (/ (* (pow q 2) r) p) (pow q 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) r) |
(* (pow p 2) (+ (* 4 (/ (pow q 2) (* (pow p 2) r))) (/ 1 r))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* -1 (* p (- (* -1/2 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (* 1/2 (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r)))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -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 (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))) |
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))) |
(* -1 (* p (+ (/ (pow q 2) (* p r)) (/ (pow q 2) (pow r 2))))) |
(* -1 (* p (- (/ (* (pow q 2) r) p) (* -1 (pow q 2))))) |
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) r)) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (+ (* -2 r) (* 4 (/ (pow q 2) p))) p)) 1)) |
(* (pow p 2) (- (* -1 (/ (- (* 4 (/ (pow q 2) (* p r))) 2) p)) (/ 1 r))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (fabs p) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))))) |
(* -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))))) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (/ (* q r) (pow (+ (fabs r) (* 2 q)) 2)))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* r (+ (* -1 (* p (* r (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (/ q (pow (+ (fabs r) (* 2 q)) 2)))))))) |
(* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(+ (* 1/2 (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))))))) |
(- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (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)))))))))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2)) |
(- (* -1 (* (pow q 2) r)) (* p (pow q 2))) |
(* -1/2 r) |
(* r (- (* 1/2 (/ r (- (fabs r) (fabs p)))) 1/2)) |
(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* r (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))))))) |
(pow r 2) |
(/ -1/2 r) |
(/ (- (* 1/2 (/ r (- (fabs r) (fabs p)))) 1/2) r) |
(* -1 (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (* -1 (+ (* 4 (pow q 2)) (pow p 2))) (* 2 (* p r))) |
(* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) |
(/ (+ (* -1 (+ (* 4 (pow q 2)) (pow p 2))) (* 2 (* p r))) r) |
(* 2 q) |
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(+ (fabs p) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* (pow r 2) (+ (* -1 (* p (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (* 4 (+ (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3))))))))))) (* -1 (* p (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))))))) |
(/ (pow q 2) (+ (fabs r) (* 2 q))) |
(+ (* -1/4 (/ (* q (pow r 2)) (pow (+ (fabs r) (* 2 q)) 2))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -1 (* (pow r 2) (+ (* 1/512 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/256 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/4 (/ (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))) (* q (+ (fabs r) (* 2 q))))))))) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(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)))))))))) |
(/ (+ (* 4 (pow q 2)) (pow p 2)) r) |
(+ (fabs p) (* 2 p)) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p)))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2)))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (+ (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2))) (* 4 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 3)))))))))) |
(* 1/2 (- (fabs p) (* -2 p))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2))))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (+ (* 1/2 (/ (- (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))))))) (+ (* 2 (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* p (* (pow q 2) (+ (fabs r) (* -1 p))))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))))))))) (pow r 3))) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2)))))) |
(- (fabs p) (* -2 p)) |
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(* 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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)) |
(/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r) |
(* r (- (* -1 (/ (* p (pow q 2)) r)) (pow q 2))) |
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))) |
(* (pow r 2) (- (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (- (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (/ 1 r)))) |
(* 2 (* p r)) |
(* r (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p))) |
(* 2 p) |
(+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) |
r |
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p)))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p))))) |
(/ (pow q 2) r) |
(/ (+ (* -1 (/ (* (pow q 2) (fabs r)) r)) (pow q 2)) r) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 2))) (pow q 2)) (/ (* (pow q 2) (fabs r)) r)) r) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow q 4) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))))) (pow r 3))) (pow q 2)) (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) (pow r 2))) (+ (* 2 (/ (pow q 4) (pow r 2))) (/ (* (pow q 2) (fabs r)) r)))) r) |
(* r (+ (/ (* p (pow q 2)) r) (pow q 2))) |
(* 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))))))) |
(+ (fabs p) (* -2 p)) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (* 2 (* p (fabs r)))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 4 (* (pow q 2) (fabs r)))) r)) (* 2 (* p (fabs r))))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (+ (* -1 (/ (+ (* -1 (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r)))))) (* 4 (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))))) r)) (* 4 (* (pow q 2) (fabs r))))) r)) (* 2 (* p (fabs r))))) r)))) |
(* 1/2 (- (fabs p) (* 2 p))) |
(+ (* -1/2 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (* 1/2 (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(- (fabs p) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(* 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 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) |
(* -1 (* r (- (/ (* p (pow q 2)) r) (* -1 (pow q 2))))) |
(* (pow r 2) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p)) (/ (pow q 2) r)) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* -1 (* r (+ (* -2 p) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))) |
(+ (fabs p) (+ (* -2 p) (* -2 (/ (* p (fabs r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* 2 (* p (fabs r))) (/ (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (/ (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r))))) r)) r)) (* 2 (* p (fabs r)))) r)))) |
(* -1 (/ (+ (/ (* (pow q 2) (fabs r)) r) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) r)) (* 2 (/ (pow q 4) r))) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 4) (fabs r)) r)) (* -1 (/ (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r))) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r)) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(* -1 (* r (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))))) |
(* -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))))) |
(+ (fabs p) (* 2 (/ (* p r) (+ r (fabs r))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (* -8 (/ p (pow (+ r (fabs r)) 2))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (+ (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2)))) (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* -1 (* p (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))))))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) |
(+ (* 1/2 (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))) (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (* 1/2 (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))))))) |
(- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (+ (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs 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))))) |
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (/ (* (pow q 2) (+ p r)) (pow r 2))) |
(* -1 (* (pow q 2) (+ p r))) |
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* r (+ (* -1 (/ (pow p 2) r)) (* 2 p))) |
(+ (* -4 (pow q 2)) (* r (+ (* -1 (/ (pow p 2) r)) (* 2 p)))) |
(+ (* -1 (/ (pow p 2) r)) (* 2 p)) |
(+ (* -4 (/ (pow q 2) r)) (+ (* -1 (/ (pow p 2) r)) (* 2 p))) |
(+ r (* 2 (/ (pow q 2) r))) |
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r))))) |
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))) |
(+ (fabs p) (+ (* -8 (/ (* p (pow q 2)) (pow (+ r (fabs r)) 2))) (* 2 (/ (* p r) (+ r (fabs r)))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* -1 (* p (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))))))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (* (pow q 2) (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4)))))))))) (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))))))))) |
(/ (pow q 2) (+ r (fabs r))) |
(* (pow q 2) (+ (* -2 (/ (pow q 2) (* r (pow (+ r (fabs r)) 2)))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 5) (pow (+ r (fabs r)) 2)))))))) (+ (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3))))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ p r)) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
(* -2 q) |
(* q (- (/ (fabs p) q) (+ 2 (* -1 (/ (fabs r) q))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (/ (fabs p) q)) (+ 2 (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q)))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 3))) (/ (fabs p) q))) (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3))) (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q))))))) |
(* -1 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2)))) 1)) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) (pow q 3))) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2))))) 1)) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
(* 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)) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1)) |
(* (pow q 2) (- (/ (* r (+ (* -1 (/ (pow p 2) r)) (* 2 p))) (pow q 2)) 4)) |
(* (pow q 2) (- (+ (* -1 (/ (pow p 2) (* (pow q 2) r))) (* 2 (/ p (pow q 2)))) (* 4 (/ 1 r)))) |
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(+ (fabs p) (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))) (* -1 (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) (pow q 3)))))) |
(* 1/2 q) |
(* q (+ 1/2 (* -1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2)))) (* 1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow r 2) (pow q 2))) (* 1/4 (/ (fabs r) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* (pow q 2) (+ (* 4 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))) |
(* -1 (* q (- (* -1 (/ (- (fabs p) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (- (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (* -4 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))))) q))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (* 1/2 (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 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 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -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 (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))) |
(+ (fabs p) (/ (* p (+ (* -1 r) (* 1/2 r))) q)) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) q))) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (+ (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) q))) q))) |
(* -1/2 q) |
(* -1 (* q (+ 1/2 (* 1/4 (/ (fabs r) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow r 2) q))) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* -1/32 (/ (* (pow r 2) (fabs r)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | q | @ | -inf | ((/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/ (neg (* (* q q) (+ r p))) (* r r)) (neg (* (* q q) (+ r p))) (* (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (* (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) r) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (* (* q q) (+ r p)) (/ 1/2 (- (fabs r) (fabs p))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (+ (* (* q q) 4) (* p p)) r)) |
| 10.0ms | p | @ | 0 | ((/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/ (neg (* (* q q) (+ r p))) (* r r)) (neg (* (* q q) (+ r p))) (* (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (* (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) r) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (* (* q q) (+ r p)) (/ 1/2 (- (fabs r) (fabs p))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (+ (* (* q q) 4) (* p p)) r)) |
| 7.0ms | p | @ | -inf | ((/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/ (neg (* (* q q) (+ r p))) (* r r)) (neg (* (* q q) (+ r p))) (* (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (* (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) r) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (* (* q q) (+ r p)) (/ 1/2 (- (fabs r) (fabs p))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (+ (* (* q q) 4) (* p p)) r)) |
| 6.0ms | p | @ | inf | ((/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/ (neg (* (* q q) (+ r p))) (* r r)) (neg (* (* q q) (+ r p))) (* (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (* (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) r) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (* (* q q) (+ r p)) (/ 1/2 (- (fabs r) (fabs p))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (+ (* (* q q) 4) (* p p)) r)) |
| 6.0ms | r | @ | inf | ((/ 1 2) (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/ (neg (* (* q q) (+ r p))) (* r r)) (neg (* (* q q) (+ r p))) (* (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* r r) (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (* (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) r) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+ (* (/ (+ (* (* q q) 4) (* p p)) r) -1) (* p 2)) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (* (* q q) (+ r p)) (/ 1/2 (- (fabs r) (fabs p))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (+ (* (* q q) 4) (* p p)) r)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2145 | 19293 |
| 1 | 7167 | 19231 |
| 0 | 8117 | 18030 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
(* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) |
(+ (* -1/2 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* 1/2 (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))) |
(+ (* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* 1/2 (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))))))) |
(- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
(- (+ (fabs p) (* p (- (* p (- (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (- (+ (* -1 (* (/ (* r (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (+ (* -1 (* (/ (* r (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* (/ (pow r 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -4 (+ (* 1/2 (* (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* (pow q 2) (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* 1/2 (/ (* (pow r 3) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow r 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (+ (* -4 (+ (* -1 (/ (* (pow q 2) (pow r 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (* -1 (/ (pow r 4) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (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)))))))))) |
(* 1/2 p) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))) |
(* -1 (/ (pow q 2) r)) |
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* -1 (/ (pow q 2) r))) |
(* -1 (* (pow q 2) r)) |
(- (* -1 (* p (pow q 2))) (* (pow q 2) r)) |
(* (pow r 2) (- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r)))) |
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p))))) (* -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 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r))) |
(* -4 (pow q 2)) |
(+ (* -4 (pow q 2)) (* 2 (* p r))) |
(+ (* -4 (pow q 2)) (* p (+ (* -1 p) (* 2 r)))) |
(* -4 (/ (pow q 2) r)) |
(+ (* -4 (/ (pow q 2) r)) (* 2 p)) |
(+ (* -4 (/ (pow q 2) r)) (* p (+ 2 (* -1 (/ p r))))) |
(fabs p) |
(+ (fabs p) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* (pow q 2) r) |
(+ (* p (pow q 2)) (* (pow q 2) r)) |
(/ 1/2 (- (fabs r) (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)))))))))) |
(* 4 (/ (pow q 2) r)) |
(+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
(* p (+ (* -4 (/ (pow q 2) (* p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p)))) |
(* -1/2 p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2)))) 1/2)) |
(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (+ (* 1/2 (/ (- (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 r)))) (* (pow r 2) (+ (fabs r) (* -1 r))))) (pow p 3))) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2))))) 1/2)) |
(* -1 p) |
(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (+ (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)) (/ (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))) (pow p 3))))))))) (+ 1 (+ (* -4 (/ (* (pow q 2) (+ (fabs r) (* -1 r))) (pow p 3))) (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (* (pow r 2) (+ (fabs r) (* -1 r))) (pow p 3)))))))) |
(* 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 (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) |
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p))) |
(* -1 (/ (* p (pow q 2)) (pow r 2))) |
(* p (+ (* -1 (/ (pow q 2) (* p r))) (* -1 (/ (pow q 2) (pow r 2))))) |
(* -1 (* p (pow q 2))) |
(* p (- (* -1 (/ (* (pow q 2) r) p)) (pow q 2))) |
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p)))) |
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2)))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))) |
(* -1 (pow p 2)) |
(* (pow p 2) (- (* 2 (/ r p)) 1)) |
(* (pow p 2) (- (+ (* -4 (/ (pow q 2) (pow p 2))) (* 2 (/ r p))) 1)) |
(* -1 (/ (pow p 2) r)) |
(* (pow p 2) (- (* 2 (/ 1 p)) (/ 1 r))) |
(* (pow p 2) (- (+ (* -4 (/ (pow q 2) (* (pow p 2) r))) (* 2 (/ 1 p))) (/ 1 r))) |
(* p (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p))) |
(* p (pow q 2)) |
(* p (+ (/ (* (pow q 2) r) p) (pow q 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) r) |
(* (pow p 2) (+ (* 4 (/ (pow q 2) (* (pow p 2) r))) (/ 1 r))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* -1 (* p (- (* -1/2 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (* 1/2 (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))))) p)) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) (* 2 r)))) p)) 1/2))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (fabs r))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -1 (* p (- (* -1 (/ (- (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (+ r (fabs r))))) (* (+ r (fabs r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ r (fabs r)))) (* (pow r 2) (+ r (fabs r))))) p)) (+ (* 2 (pow q 2)) (* (+ r (fabs r)) (- (* 2 r) (+ r (fabs r)))))) (* 4 (pow q 2))) p))))) (* 2 r)) p)) 1))) |
(* -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 (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))) |
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))) |
(* -1 (* p (+ (/ (pow q 2) (* p r)) (/ (pow q 2) (pow r 2))))) |
(* -1 (* p (- (/ (* (pow q 2) r) p) (* -1 (pow q 2))))) |
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) r)) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow p 2) (- (* -1 (/ (+ (* -2 r) (* 4 (/ (pow q 2) p))) p)) 1)) |
(* (pow p 2) (- (* -1 (/ (- (* 4 (/ (pow q 2) (* p r))) 2) p)) (/ 1 r))) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* -1 (/ (fabs p) p)) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) |
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))))) |
(* -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))))) |
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (/ (* q r) (pow (+ (fabs r) (* 2 q)) 2)))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (* 2 q)))) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* r (+ (* -1 (* p (* r (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (/ q (pow (+ (fabs r) (* 2 q)) 2)))))))) |
(* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) |
(+ (* 1/2 (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* 1/2 (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* r (+ (* 1/2 (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))))))) |
(- (fabs p) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) |
(- (+ (fabs p) (* r (- (+ (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (- (+ (* -1 (* (/ (* p (- (/ 1 (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (+ (* -1 (* (/ (* p (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* (/ (pow p 3) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ (* (pow p 3) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))) (+ (* -4 (+ (* 1/2 (* (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (/ (* p (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* (/ (* p (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* (/ p (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (* -4 (+ (* -1 (/ (* (pow p 2) (pow q 2)) (* (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (* (pow q 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))))) (+ (* -2 (/ p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* 4 (* (/ (* p (pow q 2)) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (+ (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (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)))))))))) |
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2)) |
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2)) |
(- (* -1 (* (pow q 2) r)) (* p (pow q 2))) |
(* -1/2 r) |
(* r (- (* 1/2 (/ r (- (fabs r) (fabs p)))) 1/2)) |
(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) |
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* r (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))))) |
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))))))) |
(pow r 2) |
(/ -1/2 r) |
(/ (- (* 1/2 (/ r (- (fabs r) (fabs p)))) 1/2) r) |
(* -1 (+ (* 4 (pow q 2)) (pow p 2))) |
(+ (* -1 (+ (* 4 (pow q 2)) (pow p 2))) (* 2 (* p r))) |
(* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) |
(/ (+ (* -1 (+ (* 4 (pow q 2)) (pow p 2))) (* 2 (* p r))) r) |
(* 2 q) |
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q)) |
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))) |
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))) |
(+ (fabs p) (* -1 (* p (* r (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (* (pow r 2) (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))) (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q)))))))))) |
(+ (fabs p) (* r (+ (* -1 (* p (- (* 2 (/ q (pow (+ (fabs r) (* 2 q)) 2))) (* 2 (/ 1 (+ (fabs r) (* 2 q))))))) (* (pow r 2) (+ (* -1 (* p (* (pow r 2) (+ (* -2 (+ (* 1/16 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/64 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))))) (* 4 (+ (* 3/256 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 4))) (/ (* (pow q 2) (+ (* -1/32 (/ (+ (fabs r) (* 2 q)) (pow q 3))) (* 1/16 (/ 1 (pow q 2))))) (pow (+ (fabs r) (* 2 q)) 4))) q)) (* 1/32 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3))))))))))) (* -1 (* p (+ (* -4 (+ (* 1/16 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/4 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/2 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))))))))))) |
(/ (pow q 2) (+ (fabs r) (* 2 q))) |
(+ (* -1/4 (/ (* q (pow r 2)) (pow (+ (fabs r) (* 2 q)) 2))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -1 (* (pow r 2) (+ (* 1/512 (/ 1 (* (pow q 3) (pow (+ (fabs r) (* 2 q)) 2)))) (+ (* 1/256 (/ 1 (* (pow q 2) (pow (+ (fabs r) (* 2 q)) 3)))) (* 1/4 (/ (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))) (* q (+ (fabs r) (* 2 q))))))))) (+ (* 1/64 (/ 1 (* q (pow (+ (fabs r) (* 2 q)) 2)))) (* 1/16 (/ 1 (pow (+ (fabs r) (* 2 q)) 3)))))) (* 1/4 (/ q (pow (+ (fabs r) (* 2 q)) 2))))) (/ (pow q 2) (+ (fabs r) (* 2 q)))) |
(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)))))))))) |
(/ (+ (* 4 (pow q 2)) (pow p 2)) r) |
(+ (fabs p) (* 2 p)) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p)))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2)))))))) |
(+ (fabs p) (+ (* -4 (/ (pow q 2) r)) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (+ (* 2 p) (+ (* 4 (/ (* (pow q 2) (fabs r)) (pow r 2))) (* 4 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 3)))))))))) |
(* 1/2 (- (fabs p) (* -2 p))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2))))) |
(+ (* 1/2 (- (fabs p) (* -2 p))) (+ (* 1/2 (/ (- (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (+ (* 1/2 (/ (- (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p))))))))))) (+ (* 2 (* p (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p)))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ (fabs r) (* -1 p)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* p (* (pow q 2) (+ (fabs r) (* -1 p))))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))))))))) (pow r 3))) (* 1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* -2 p) (+ (fabs r) (* -1 p))))) (* (+ (fabs r) (* -1 p)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 p)) (- (* -2 p) (+ (fabs r) (* -1 p)))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 p)))) (+ (* -2 (* (pow q 2) (+ (fabs r) (* -1 p)))) (* -1 (* (+ (fabs r) (* -1 p)) (+ (* -1 (pow (+ (fabs r) (* -1 p)) 2)) (* 2 (pow q 2)))))))) (pow r 2)))))) |
(- (fabs p) (* -2 p)) |
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(* 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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)) |
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)) |
(/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r) |
(* r (- (* -1 (/ (* p (pow q 2)) r)) (pow q 2))) |
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))) |
(* (pow r 2) (- (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))) (* 1/2 (/ 1 r)))) |
(* (pow r 2) (- (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (/ 1 r)))) |
(* 2 (* p r)) |
(* r (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p))) |
(* 2 p) |
(+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) |
r |
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))) |
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (* 2 p))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p)))) |
(+ (fabs p) (+ (* -2 (/ (* p (fabs r)) r)) (+ (* -1 (/ (* p (- (* -8 (* (pow q 2) (fabs r))) (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))))) (pow r 3))) (+ (* -1 (/ (* p (- (* 4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) (pow r 2))) (* 2 p))))) |
(/ (pow q 2) r) |
(/ (+ (* -1 (/ (* (pow q 2) (fabs r)) r)) (pow q 2)) r) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))) (pow r 2))) (pow q 2)) (/ (* (pow q 2) (fabs r)) r)) r) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow q 4) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))))) (pow r 3))) (pow q 2)) (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) (pow r 2))) (+ (* 2 (/ (pow q 4) (pow r 2))) (/ (* (pow q 2) (fabs r)) r)))) r) |
(* r (+ (/ (* p (pow q 2)) r) (pow q 2))) |
(* 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))))))) |
(+ (fabs p) (* -2 p)) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (* 2 (* p (fabs r)))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 4 (* (pow q 2) (fabs r)))) r)) (* 2 (* p (fabs r))))) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -4 (pow q 2)) (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (+ (* -1 (/ (+ (* -1 (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r)))))) (* 4 (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4))))) r)) (* 4 (* (pow q 2) (fabs r))))) r)) (* 2 (* p (fabs r))))) r)))) |
(* 1/2 (- (fabs p) (* 2 p))) |
(+ (* -1/2 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (* 1/2 (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))))) r)) (* 1/2 (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))))) r)) (* 1/2 (- (fabs p) (* 2 p)))) |
(- (fabs p) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(- (+ (fabs p) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* p (* (pow q 2) (- (* 2 p) (+ p (fabs r)))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))))) (* 2 (* (pow q 2) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r)))))))))) (+ (* -4 (+ (* -1 (* (pow q 2) (pow (+ p (fabs r)) 2))) (* 2 (pow q 4)))) (+ (* -2 (* (pow q 2) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))) (+ (* -1 (* (+ p (fabs r)) (+ (* -2 (* p (pow q 2))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2))))))))) (* 2 (* p (* (pow q 2) (+ p (fabs r))))))))) r)) (+ (* 2 (* (pow q 2) (- (* 2 p) (+ p (fabs r))))) (* (+ p (fabs r)) (- (pow p 2) (+ (* 2 (pow q 2)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))))))) (+ (* -4 (* (pow q 2) (+ p (fabs r)))) (+ (* -2 (* (pow q 2) (+ p (fabs r)))) (* -1 (* (+ p (fabs r)) (+ (* -1 (pow (+ p (fabs r)) 2)) (* 2 (pow q 2)))))))) r)) (* (+ p (fabs r)) (- (* 2 p) (+ p (fabs r))))) (+ (* -1 (pow (+ p (fabs r)) 2)) (+ (* 4 (pow q 2)) (pow p 2)))) r))) (* 2 p)) |
(* 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 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r))))) |
(* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) |
(* -1 (* r (- (/ (* p (pow q 2)) r) (* -1 (pow q 2))))) |
(* (pow r 2) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p)) (/ (pow q 2) r)) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) |
(* -1 (* r (+ (* -2 p) (+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r))))) |
(* -1 r) |
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))) |
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))) |
(+ (fabs p) (+ (* -2 p) (* -2 (/ (* p (fabs r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* 2 (* p (fabs r))) (/ (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2)))))) r)) r)))) |
(+ (fabs p) (+ (* -2 p) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* p (+ (* -4 (pow q 2)) (* -2 (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (/ (* p (+ (* -2 (+ (* -2 (* (pow q 2) (fabs r))) (* -1 (* (fabs r) (+ (* -1 (pow (fabs r) 2)) (* 2 (pow q 2))))))) (* 8 (* (pow q 2) (fabs r))))) r)) r)) (* 2 (* p (fabs r)))) r)))) |
(* -1 (/ (+ (/ (* (pow q 2) (fabs r)) r) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow q 2) (pow (fabs r) 2)) r)) (* 2 (/ (pow q 4) r))) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 4) (fabs r)) r)) (* -1 (/ (* (fabs r) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r))) (+ (* -1 (* (pow q 2) (pow (fabs r) 2))) (* 2 (pow q 4)))) r)) (* (pow q 2) (fabs r))) r)) (pow q 2)) r)) |
(* -1 (* r (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))))) |
(* -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))))) |
(+ (fabs p) (* 2 (/ (* p r) (+ r (fabs r))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (* -8 (/ p (pow (+ r (fabs r)) 2))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (- (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))) (+ (* 8 (/ 1 (* r (pow (+ r (fabs r)) 2)))) (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* -1 (* p (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))))))))))) (* 4 (/ 1 (+ r (fabs r)))))))) |
(* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) |
(+ (* 1/2 (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))) (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r))))))))) |
(+ (* 1/2 (- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r)))) (* (pow q 2) (+ (* 1/2 (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (* 1/2 (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))))))) |
(- (+ (fabs p) (/ (pow r 2) (- (+ p (fabs r)) r))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs r)) r))) |
(- (+ (fabs p) (+ (* (pow q 2) (- (+ (* 2 (/ (- p r) (pow (- (+ p (fabs r)) r) 2))) (* (pow q 2) (- (+ (* 8 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* (pow q 2) (- (+ (* 2 (/ (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3)))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* -2 (/ (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2))))) (* (- p r) (- (+ p (fabs r)) r)))) (+ (* 4 (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))))) (+ (* 4 (/ (pow r 2) (* (pow (- p r) 4) (pow (- (+ p (fabs r)) r) 3)))) (* 4 (/ (pow r 2) (* (pow (- p r) 5) (pow (- (+ p (fabs r)) r) 2)))))))))) (+ (* -4 (/ (pow r 2) (* (pow (- p r) 2) (pow (- (+ p (fabs r)) r) 3)))) (+ (* -2 (/ (pow r 2) (* (pow (- p r) 3) (pow (- (+ p (fabs r)) r) 2)))) (+ (* 2 (/ 1 (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (pow (- (+ p (fabs r)) r) 3))))))))) (+ (* 2 (/ (pow r 2) (* (- p r) (pow (- (+ p (fabs r)) r) 2)))) (* 4 (/ 1 (- (+ p (fabs r)) r)))))) (/ (pow r 2) (- (+ p (fabs r)) r)))) (/ (pow (- p r) 2) (- (+ p (fabs 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))))) |
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))) |
(* -1 (/ (* (pow q 2) (+ p r)) (pow r 2))) |
(* -1 (* (pow q 2) (+ p r))) |
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) |
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r))))) |
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r))))) |
(* r (+ (* -1 (/ (pow p 2) r)) (* 2 p))) |
(+ (* -4 (pow q 2)) (* r (+ (* -1 (/ (pow p 2) r)) (* 2 p)))) |
(+ (* -1 (/ (pow p 2) r)) (* 2 p)) |
(+ (* -4 (/ (pow q 2) r)) (+ (* -1 (/ (pow p 2) r)) (* 2 p))) |
(+ r (* 2 (/ (pow q 2) r))) |
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r))))) |
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))) |
(+ (fabs p) (+ (* -8 (/ (* p (pow q 2)) (pow (+ r (fabs r)) 2))) (* 2 (/ (* p r) (+ r (fabs r)))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* -1 (* p (* (pow q 2) (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))))))))))) |
(+ (fabs p) (+ (* 2 (/ (* p r) (+ r (fabs r)))) (* (pow q 2) (+ (* -8 (/ p (pow (+ r (fabs r)) 2))) (* (pow q 2) (+ (* -1 (* p (* (pow q 2) (+ (* 2 (+ (* 2 (/ (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2))))))) (* 4 (- (+ (* 4 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (+ (* 6 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 2)))) (+ (* 8 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 3)))) (* 16 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4))))))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 4)))))))))) (* -1 (* p (+ (* -4 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2)))))) (* -2 (+ (* 4 (/ 1 (* r (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 2))))))))))))))) |
(/ (pow q 2) (+ r (fabs r))) |
(* (pow q 2) (+ (* -2 (/ (pow q 2) (* r (pow (+ r (fabs r)) 2)))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3)))) (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2))))) (* r (+ r (fabs r))))) (+ (* 4 (/ 1 (* (pow r 4) (pow (+ r (fabs r)) 3)))) (* 4 (/ 1 (* (pow r 5) (pow (+ r (fabs r)) 2)))))))) (+ (* 2 (/ 1 (* (pow r 3) (pow (+ r (fabs r)) 2)))) (* 4 (/ 1 (* (pow r 2) (pow (+ r (fabs r)) 3))))))) (* 2 (/ 1 (* r (pow (+ r (fabs r)) 2)))))) (/ 1 (+ r (fabs r))))) |
(* (pow q 2) (+ p r)) |
(- p r) |
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r) |
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
(* -2 q) |
(* q (- (/ (fabs p) q) (+ 2 (* -1 (/ (fabs r) q))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (/ (fabs p) q)) (+ 2 (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q)))))) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 3))) (/ (fabs p) q))) (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3))) (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q))))))) |
(* -1 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2)))) 1)) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) (pow q 3))) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2))))) 1)) |
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
(* 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)) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1)) |
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1)) |
(* (pow q 2) (- (/ (* r (+ (* -1 (/ (pow p 2) r)) (* 2 p))) (pow q 2)) 4)) |
(* (pow q 2) (- (+ (* -1 (/ (pow p 2) (* (pow q 2) r))) (* 2 (/ p (pow q 2)))) (* 4 (/ 1 r)))) |
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(+ (fabs p) (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))))) |
(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))) (* -1 (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) (pow q 3)))))) |
(* 1/2 q) |
(* q (+ 1/2 (* -1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2)))) (* 1/4 (/ (fabs r) q)))) |
(* q (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow r 2) (pow q 2))) (* 1/4 (/ (fabs r) q)))))) |
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* (pow q 2) (+ (* 4 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))) |
(* -1 (* q (- (* -1 (/ (- (fabs p) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (- (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (* -4 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))))) q))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (* 1/2 (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 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 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(* -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 (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))) |
(+ (fabs p) (/ (* p (+ (* -1 r) (* 1/2 r))) q)) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) q))) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (+ (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) q))) q))) |
(* -1/2 q) |
(* -1 (* q (+ 1/2 (* 1/4 (/ (fabs r) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow r 2) q))) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* -1/32 (/ (* (pow r 2) (fabs r)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* 1/4 (fabs r))) q))))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
| Outputs |
|---|
(+ (fabs p) (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) |
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(+ (fabs p) (+ (* -4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))))) |
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(* 1/2 (- (fabs p) (* 4 (/ (pow q 2) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))) |
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(* 1/2 p) |
(*.f64 #s(literal 1/2 binary64) p) |
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)) |
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(* -1 (/ (pow q 2) r)) |
(neg.f64 (/.f64 (*.f64 q q) r)) |
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(fma.f64 (/.f64 (neg.f64 p) r) (/.f64 (*.f64 q q) r) (neg.f64 (/.f64 (*.f64 q q) r))) |
(* -1 (* (pow q 2) r)) |
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(- (* -1 (* p (pow q 2))) (* (pow q 2) r)) |
(*.f64 (neg.f64 (*.f64 q q)) (+.f64 r p)) |
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(- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) |
(* -4 (pow q 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 q q)) |
(+ (* -4 (pow q 2)) (* 2 (* p r))) |
(fma.f64 (*.f64 r p) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
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(fma.f64 (fma.f64 #s(literal 2 binary64) r (neg.f64 p)) p (*.f64 #s(literal -4 binary64) (*.f64 q q))) |
(* -4 (/ (pow q 2) r)) |
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -4 binary64)) |
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(fma.f64 (/.f64 (*.f64 q q) r) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) p)) |
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(fabs p) |
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(* (pow q 2) r) |
(*.f64 (*.f64 q q) r) |
(+ (* p (pow q 2)) (* (pow q 2) r)) |
(*.f64 (+.f64 r p) (*.f64 q q)) |
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(* 4 (/ (pow q 2) r)) |
(*.f64 (/.f64 (*.f64 q q) r) #s(literal 4 binary64)) |
(+ (* 4 (/ (pow q 2) r)) (/ (pow p 2) r)) |
(fma.f64 (/.f64 (*.f64 q q) r) #s(literal 4 binary64) (/.f64 (*.f64 p p) r)) |
(* -1 (* p (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) |
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(* p (+ (* -4 (/ (pow q 2) (* p (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (+ (* -1 (+ (* -2 (/ r (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* 4 (* (/ (* (pow q 2) r) (pow (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (fabs p) p)))) |
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(* -1/2 p) |
(*.f64 #s(literal -1/2 binary64) p) |
(* p (- (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) 1/2)) |
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(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2)))) 1/2)) |
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(* p (- (+ (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -1 r))) (* -2 r)) p)) (+ (* 1/2 (/ (- (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* (+ (fabs r) (* -1 r)) (- (pow r 2) (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))))))) (+ (* -4 (* (pow q 2) (+ (fabs r) (* -1 r)))) (* (pow r 2) (+ (fabs r) (* -1 r))))) (pow p 3))) (* 1/2 (/ (- (+ (* 2 (pow q 2)) (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r))))) (* 4 (pow q 2))) (pow p 2))))) 1/2)) |
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(* -1 p) |
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(* p (- (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -2 (/ r p))))) |
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(* p (- (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (+ (/ (fabs r) p) (/ (* (+ (fabs r) (* -1 r)) (- (* -2 r) (+ (fabs r) (* -1 r)))) (pow p 2)))))) (+ 1 (+ (* -2 (/ r p)) (* 4 (/ (pow q 2) (pow p 2))))))) |
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(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r) |
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r) |
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(* -2 q) |
(*.f64 #s(literal -2 binary64) q) |
(* q (- (/ (fabs p) q) (+ 2 (* -1 (/ (fabs r) q))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (fabs.f64 p) q) #s(literal 2 binary64)) (neg.f64 (/.f64 (fabs.f64 r) q))) q) |
(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (/ (fabs p) q)) (+ 2 (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q)))))) |
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(* q (- (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) (pow q 2))) (+ (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 3))) (/ (fabs p) q))) (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3))) (+ (* -4 (/ (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))) (pow q 2))) (* -1 (/ (fabs r) q))))))) |
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(* -1 q) |
(neg.f64 q) |
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) |
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q) |
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2)))) 1)) |
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(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) (pow q 3))) (* 1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) (pow q 2))))) 1)) |
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(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2)) |
(*.f64 (+.f64 (/.f64 (fabs.f64 p) q) (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64))) q) |
(* q (- (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))) (+ 2 (* 1/2 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) q) (/.f64 (*.f64 r r) q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 (*.f64 r r) q) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) q) |
(* q (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2)))) (pow q 3))) (+ (* -1/2 (/ (pow (fabs r) 2) (pow q 2))) (+ (* -1/8 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (* (fabs r) (pow (- p r) 2)) (pow q 3))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/2 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))) (+ 2 (+ (* 1/4 (/ (* (pow r 2) (fabs r)) (pow q 3))) (* 1/2 (/ (pow (- p r) 2) (pow q 2))))))) |
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(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1)) |
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(* 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 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64))))) #s(literal 1 binary64)) q) |
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) |
(neg.f64 (*.f64 (*.f64 q q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r))) |
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)))) |
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(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64) (/.f64 (*.f64 r r) (-.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 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) 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 (fma.f64 (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64) (/.f64 (*.f64 r r) (-.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 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1)) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64))))) #s(literal 1 binary64)) q) |
(* (pow q 2) (- (/ (* r (+ (* -1 (/ (pow p 2) r)) (* 2 p))) (pow q 2)) 4)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (/.f64 (neg.f64 (*.f64 p p)) r)) q) (/.f64 r q) #s(literal -4 binary64)) (*.f64 q q)) |
(* (pow q 2) (- (+ (* -1 (/ (pow p 2) (* (pow q 2) r))) (* 2 (/ p (pow q 2)))) (* 4 (/ 1 r)))) |
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(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))) |
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(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
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(+ (fabs p) (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q))) |
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(+ (fabs p) (+ (* -1 (/ (* p (+ (* -1 r) (* 1/2 r))) q)) (* -1 (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) (pow q 2))))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (*.f64 #s(literal -1/2 binary64) r) q) (*.f64 (/.f64 p q) (/.f64 (*.f64 (*.f64 (fabs.f64 r) r) #s(literal 0 binary64)) q))) (fabs.f64 p)) |
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(* 1/2 q) |
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(* q (+ 1/2 (* -1/4 (/ (fabs r) q)))) |
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(* q (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))) (pow q 3)))) (+ (* -1/8 (/ (pow (fabs r) 2) (pow q 2))) (+ (* 1/16 (/ (pow r 2) (pow q 2))) (* 1/4 (/ (fabs r) q)))))) |
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(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
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(*.f64 (neg.f64 q) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 p) (*.f64 #s(literal -1/2 binary64) r) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))))) q) #s(literal -1 binary64) (fabs.f64 p)) (neg.f64 (fabs.f64 r))) q) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (- (+ (fabs p) (* -1 (/ (- (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (- (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (* -4 (+ (* -1/2 (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) (* -1/32 (* (pow r 2) (fabs r)))))) q))) (* -4 (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2))))) q))) (* -1 (fabs r))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) p (/.f64 (fma.f64 (neg.f64 p) (*.f64 (*.f64 (fabs.f64 r) r) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 r r)) (fabs.f64 r) (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))))))) q)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))))) q) #s(literal -1 binary64) (fabs.f64 p)) (neg.f64 (fabs.f64 r))) q) #s(literal -1 binary64) #s(literal -2 binary64))) |
q |
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 r r) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (* 1/2 (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fabs.f64 r)) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) (fabs.f64 r))) q) #s(literal -1/2 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 r r) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) q))) q) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2)))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 r r) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) #s(literal -1 binary64) (fabs.f64 r)) (fabs.f64 p)) q) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (fabs r) (+ (* -1/2 (pow (fabs r) 2)) (* 1/4 (pow (- p r) 2))))) (+ (* -1/8 (* (fabs r) (pow (- p r) 2))) (* 1/4 (* (fabs r) (pow (- p r) 2))))) (* 1/4 (* (pow r 2) (fabs r)))) q)) (+ (* -1/2 (pow (fabs r) 2)) (+ (* 1/4 (pow (- p r) 2)) (* 1/2 (pow r 2))))) (* 1/2 (pow (- p r) 2))) q)))) q)) 2))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fabs.f64 r)) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) (fabs.f64 r))) q) #s(literal -1 binary64) (-.f64 (fma.f64 (*.f64 r r) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) q) #s(literal -1 binary64) (fabs.f64 r)) (fabs.f64 p)) q) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) q) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -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 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 (/.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)))) q))) q) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) #s(literal 1/2 binary64))) q) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) #s(literal 1/2 binary64) (neg.f64 (/.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)))) q))) q) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 r #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 r r) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64))) |
(+ (fabs p) (/ (* p (+ (* -1 r) (* 1/2 r))) q)) |
(fma.f64 p (/.f64 (*.f64 #s(literal -1/2 binary64) r) q) (fabs.f64 p)) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (/ (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r))))) q)) q))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 p) (*.f64 #s(literal -1/2 binary64) r) (/.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 r) r) #s(literal 0 binary64)) p) q)) q) #s(literal -1 binary64) (fabs.f64 p)) |
(+ (fabs p) (* -1 (/ (+ (* -1 (* p (+ (* -1 r) (* 1/2 r)))) (* -1 (/ (+ (* -1 (* p (+ (* -1/2 (* r (fabs r))) (* 1/2 (* r (fabs r)))))) (/ (* p (+ (* 2 (+ (* -1/8 (* r (pow (fabs r) 2))) (* 1/16 (pow r 3)))) (* 4 (+ (* -1/2 (+ (* -1/4 (* r (pow (fabs r) 2))) (* 1/16 (* r (+ (pow r 2) (pow (fabs r) 2)))))) (* -1/64 (pow r 3)))))) q)) q))) q))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 p) (*.f64 #s(literal -1/2 binary64) r) (neg.f64 (/.f64 (fma.f64 (neg.f64 p) (*.f64 (*.f64 (fabs.f64 r) r) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 r #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 r #s(literal 3 binary64)))) #s(literal 2 binary64))) p) q)) q))) q) #s(literal -1 binary64) (fabs.f64 p)) |
(* -1/2 q) |
(*.f64 #s(literal -1/2 binary64) q) |
(* -1 (* q (+ 1/2 (* 1/4 (/ (fabs r) q))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fabs.f64 r) q) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs r) 2) q)) (* 1/16 (/ (pow r 2) q))) (* 1/4 (fabs r))) q))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r r) q) (*.f64 (/.f64 (*.f64 r r) q) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/4 binary64) (fabs.f64 r))) q) #s(literal -1 binary64) #s(literal 1/2 binary64))) |
(* -1 (* q (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (fabs r) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* -1/32 (/ (* (pow r 2) (fabs r)) q))) (+ (* -1/8 (pow (fabs r) 2)) (* 1/16 (pow r 2)))) q)) (* 1/4 (fabs r))) q))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 r r) (/.f64 (fabs.f64 r) q)) #s(literal -1/32 binary64) (*.f64 (*.f64 (fabs.f64 r) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r))) q)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (*.f64 #s(literal 1/16 binary64) (*.f64 r r)))) q) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (fabs.f64 r))) q) #s(literal -1 binary64) #s(literal 1/2 binary64))) |
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))) |
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))) |
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 818 |
| 0 | 181 | 799 |
| 1 | 765 | 746 |
| 2 | 6476 | 746 |
| 0 | 8102 | 734 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
#s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 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)) |
(*.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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r))) |
(/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)) |
(neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) |
(*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 r r) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r) |
(fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
#s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
#s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (-.f64 (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (-.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) (*.f64 r r))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64)))) (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) q) (/.f64 q (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) |
(fma.f64 (*.f64 (*.f64 q q) #s(literal -4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal -1 binary64)) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))) |
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(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p))) |
(*.f64 (/.f64 (*.f64 q q) (-.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) (*.f64 r r))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(*.f64 (/.f64 (*.f64 q q) (+.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64)))) (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) |
(*.f64 (/.f64 q (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) q) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal -1 binary64)) (*.f64 q q)) |
(*.f64 (*.f64 (neg.f64 q) q) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(*.f64 (*.f64 q q) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal -1 binary64))) |
(*.f64 q (/.f64 q (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 q q) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 q) q)) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(/.f64 (*.f64 (neg.f64 q) q) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q)))) |
(/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 q) q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) |
(neg.f64 (/.f64 (*.f64 q q) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)))) |
(*.f64 #s(literal 1 binary64) #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) |
#s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) |
(neg.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 r r (*.f64 (neg.f64 p) p))) (+.f64 (fabs.f64 r) (fabs.f64 p))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64)))) (fma.f64 r r (fma.f64 p p (fabs.f64 (*.f64 r p))))) |
(*.f64 (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 r) (fabs.f64 p))))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
(pow.f64 (*.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (-.f64 (fabs.f64 r) (fabs.f64 p))))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 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)) (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 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 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 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (neg.f64 r))) |
(*.f64 (pow.f64 r #s(literal -1 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) |
(*.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) (pow.f64 r #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r)) |
(pow.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 p) p))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (*.f64 p p) (-.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1 binary64)) r) |
(/.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p))) (neg.f64 (neg.f64 r))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 p) p)) r)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 p p) (-.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64))) r)) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p)) (neg.f64 r)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 p) p)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (*.f64 r (fma.f64 (*.f64 p p) (-.f64 (*.f64 p p) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) (neg.f64 r))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal -4 binary64) (*.f64 (neg.f64 p) p)) r)) |
(exp.f64 (*.f64 (log.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal -1 binary64))) |
Compiled 66 015 to 4 161 computations (93.7% saved)
44 alts after pruning (39 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 587 | 19 | 606 |
| Fresh | 11 | 20 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 601 | 44 | 645 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 14.8% | (*.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 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 p p))))))) | |
| 15.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 9.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) | |
| 16.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)))) (fabs.f64 p))) | |
| 21.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))) | |
| 42.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (*.f64 #s(literal -4 binary64) q) (/.f64 q (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))))) | |
| 38.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 r r) q) #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) q))) (fabs.f64 r))))))) | |
| 39.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)) (fabs.f64 r))))))) | |
| 9.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)))) (fabs.f64 r))))))) | |
| 43.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))))) | |
| 41.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q))) #s(literal -1 binary64))))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (fma.f64 q q (neg.f64 (*.f64 (*.f64 q q) (/.f64 (fabs.f64 r) r)))) r)))))) | |
| 40.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) r))))))) | |
| 31.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) r)))))) | |
| 36.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (fabs.f64 r) r) #s(literal 2 binary64))) (/.f64 (*.f64 q q) r) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) r))) (*.f64 q q))))))) | |
| 24.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) #s(approx (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 p (pow.f64 (+.f64 (fabs.f64 r) r) #s(literal 2 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 (fabs.f64 r) r))) (*.f64 q q) (/.f64 (*.f64 (*.f64 r p) #s(literal 2 binary64)) (+.f64 (fabs.f64 r) r))) (fabs.f64 p))))) | |
| 8.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) #s(approx (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))))) | |
| 29.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q))) | |
| 11.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (+.f64 (/.f64 p r) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64))))) | |
| 27.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)) | |
| 31.1% | #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)) | |
| 19.3% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (log.f64 (/.f64 q r))) (exp.f64 (log.f64 (/.f64 q r))) (*.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)) | |
| 18.7% | #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))) | |
| 5.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)))) | |
| 14.3% | #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)))) | |
| 6.3% | #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))))) | |
| 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)) | |
| ✓ | 5.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p)) |
| ✓ | 4.8% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r)) |
| ✓ | 2.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p)) |
| ✓ | 33.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
| ✓ | 23.1% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
| 29.7% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 r p)) r)))) | |
| 20.5% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r))))) | |
| 22.6% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) | |
| 26.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q r) (/.f64 q p))))))) | |
| 29.9% | #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) | |
| 30.5% | #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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) | |
| 6.3% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r r)) (-.f64 (fabs.f64 r) (fabs.f64 p)))) | |
| 6.6% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) r) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p)))))))) | |
| 6.2% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) #s(approx (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (/.f64 #s(literal -1/2 binary64) r)))) | |
| 8.1% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (exp.f64 (*.f64 (log.f64 r) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) | |
| 5.9% | #s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
Compiled 9 388 to 2 427 computations (74.1% 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) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) #s(approx (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (/.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 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 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 (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r r)) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r r)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r) #s(literal -1 binary64) (*.f64 p #s(literal 2 binary64))) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (fabs.f64 r) r) #s(literal 2 binary64))) (/.f64 (*.f64 q q) r) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) r))) (*.f64 q q))))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (exp.f64 (*.f64 (log.f64 r) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) #s(approx (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) r) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (*.f64 q q))) #s(literal -1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (*.f64 #s(literal -4 binary64) q) (/.f64 q (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) #s(literal -2 binary64)) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))) (*.f64 q q))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r)))))) (neg.f64 p) (fabs.f64 p))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) p) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 p) (/.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 r r) q) (*.f64 #s(literal 2 binary64) q))) (fabs.f64 r))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)))) (fabs.f64 r))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) #s(approx (+ (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (* -4 (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (*.f64 p (fma.f64 (/.f64 #s(literal -4 binary64) p) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r))) (-.f64 (/.f64 (fabs.f64 p) p) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 r r))) (fabs.f64 r)))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (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 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 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 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (+.f64 (/.f64 p r) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)))) (fabs.f64 r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (log.f64 (/.f64 q r))) (exp.f64 (log.f64 (/.f64 q r))) (*.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (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)) (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 r r (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (fabs.f64 p))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
7 calls:
| 25.0ms | p |
| 25.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 25.0ms | q |
| 22.0ms | r |
| 21.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 3 | p |
| 63.3% | 4 | r |
| 63.1% | 2 | q |
| 51.6% | 2 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) |
| 51.6% | 2 | (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))) |
| 63.1% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 63.1% | 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) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) #s(approx (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (/.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 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 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 (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r r)) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r 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) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) 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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (*.f64 (+.f64 r p) q) q) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 r p)) r)))) |
#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))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (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 (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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q p) (/.f64 q r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q r) (/.f64 q p))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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)) |
(*.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)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) r)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) r))))))) |
(*.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 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 p p))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
#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)) |
#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 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) 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)) |
#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))) |
#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 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))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (fma.f64 q q (neg.f64 (*.f64 (*.f64 q q) (/.f64 (fabs.f64 r) r)))) r)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)) (fabs.f64 r))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (fma.f64 (*.f64 #s(literal -4 binary64) q) (/.f64 q (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))) #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 (*.f64 (/.f64 r (+.f64 (fabs.f64 r) r)) p) #s(literal 2 binary64) (fabs.f64 p)))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)) (fabs.f64 r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
3 calls:
| 15.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 12.0ms | q |
| 10.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | q |
| 62.5% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 62.5% | 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) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) #s(approx (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (/.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 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 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 (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r r)) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r 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) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) 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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (*.f64 (+.f64 r p) q) q) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 r p)) r)))) |
#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))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (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 (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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q p) (/.f64 q r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q r) (/.f64 q p))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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)) |
(*.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)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) r)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) r))))))) |
(*.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 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 p p))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (/.f64 (*.f64 q 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)) |
#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)) |
#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 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) 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)) |
#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))) |
#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 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))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (fma.f64 q q (neg.f64 (*.f64 (*.f64 q q) (/.f64 (fabs.f64 r) r)))) r)))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
3 calls:
| 11.0ms | q |
| 11.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 10.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 2 | q |
| 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)) |
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) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) #s(approx (- (/ 1/2 (- (fabs r) (fabs p))) (/ 1/2 r)) (/.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 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 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 (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r r)) (-.f64 (fabs.f64 r) (fabs.f64 p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r))) (*.f64 r 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) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (*.f64 (*.f64 q q) (+.f64 r p))) (*.f64 r r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) 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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 #s(approx (* (* q q) (+ r p)) (*.f64 (*.f64 q q) r)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (*.f64 (+.f64 r p) q) q) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (*.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 r p)) r)))) |
#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))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (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 (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)) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q p) (/.f64 q r))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (*.f64 (neg.f64 p) (fma.f64 (/.f64 q r) (/.f64 q r) (*.f64 (/.f64 q r) (/.f64 q p))))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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)) |
(*.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)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) r)))))) |
| 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
4 calls:
| 20.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 11.0ms | r |
| 10.0ms | q |
| 8.0ms | (pow.f64 q #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 4 | r |
| 59.9% | 3 | q |
| 59.9% | 3 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 59.9% | 3 | (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) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) |
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) |
3 calls:
| 3.0ms | q |
| 3.0ms | (pow.f64 q #s(literal 2 binary64)) |
| 3.0ms | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 2 | q |
| 57.2% | 2 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 57.2% | 2 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 9 to 15 computations (-66.7% saved)
Total -20.2b remaining (-47.2%)
Threshold costs -20.2b (-47.2%)
| 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) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 p)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (*.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#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 |
|---|---|---|
| 33.1% | 1 | r |
| 33.1% | 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))))))) |
| 33.1% | 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)))))) |
| 33.1% | 1 | p |
| 33.1% | 1 | q |
| 33.1% | 1 | (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) |
| 33.1% | 1 | (pow.f64 q #s(literal 2 binary64)) |
Compiled 51 to 54 computations (-5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.1224533724119496e+109 | 6.0768099221327e+113 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0768099221327e+113 | 5.500876935327407e+124 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.1224533724119496e+109 | 6.0768099221327e+113 |
Compiled 25 to 25 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.0724258447986616e-18 | 8.638621069974567e-8 |
| 0.0ms | 3.0943122079414644e-164 | 1.99245803346881e-160 |
Compiled 25 to 25 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.251173264973891e-46 | 1.0817306318395739e-30 |
Compiled 25 to 25 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 762 |
| 1 | 282 | 752 |
| 2 | 765 | 752 |
| 3 | 2605 | 744 |
| 4 | 7637 | 744 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) #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 1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)) (fabs.f64 r))))))) #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 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) r))))))) #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 6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) #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 5142201741628769/12855504354071922204335696738729300820177623950262342682411008 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) #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 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r))))))) #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 1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)) (fabs.f64 r))))))) #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 1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 q q) (+.f64 #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)) (fabs.f64 r))))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))) |
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(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 #s(approx (+ (* (neg p) (+ (* (/ (* (* (* q q) r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))) (pow (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r)) 2)) 4) (/ (* -2 r) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))))) (fabs p)) (fma.f64 #s(literal 2 binary64) (*.f64 p (/.f64 r (+.f64 (fabs.f64 r) r))) (fabs.f64 p))) (*.f64 #s(literal -4 binary64) #s(approx (/ (* q q) (+ (sqrt (+ (* (* q q) 4) (* r r))) (fabs r))) (/.f64 (*.f64 q q) (+.f64 (fabs.f64 r) r))))))) #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 6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (neg.f64 (/.f64 (*.f64 q q) r))))) #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 6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (/.f64 (*.f64 (neg.f64 q) q) r)))) #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 5142201741628769/12855504354071922204335696738729300820177623950262342682411008 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 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 | 18 | 75 |
| 0 | 31 | 75 |
| 1 | 109 | 75 |
| 2 | 796 | 75 |
| 0 | 8700 | 71 |
| 0 | 2413 | 17846 |
| 1 | 6895 | 17363 |
| 0 | 8254 | 16476 |
| 0 | 1648 | 16222 |
| 1 | 5417 | 15454 |
| 0 | 8169 | 14623 |
| 0 | 2145 | 19293 |
| 1 | 7167 | 19231 |
| 0 | 8117 | 18030 |
| 0 | 620 | 3263 |
| 1 | 1907 | 3082 |
| 2 | 6214 | 2946 |
| 0 | 8129 | 2747 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 892 to 271 computations (69.6% saved)
Compiled 2 272 to 620 computations (72.7% saved)
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