
Time bar (total: 26.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 6.3% | 6.2% | 93.6% | 0.2% | 0% | 0% | 0% | 5 |
| 8.3% | 6.2% | 68.6% | 0.2% | 0% | 25% | 0% | 6 |
| 11.1% | 6.2% | 49.9% | 0.2% | 0% | 43.7% | 0% | 7 |
| 14.8% | 6.2% | 35.9% | 0.2% | 0% | 57.7% | 0% | 8 |
| 19.8% | 6.2% | 25.3% | 0.2% | 0% | 68.2% | 0% | 9 |
| 23.7% | 6.2% | 20.1% | 0.2% | 0% | 73.5% | 0% | 10 |
| 28.4% | 6.2% | 15.7% | 0.2% | 0% | 77.9% | 0% | 11 |
| 34.1% | 6.2% | 12% | 0.2% | 0% | 81.5% | 0% | 12 |
Compiled 33 to 26 computations (21.2% saved)
| 3.6s | 15 984× | 0 | invalid |
| 3.4s | 7 447× | 1 | valid |
| 393.0ms | 747× | 0 | valid |
| 26.0ms | 62× | 2 | valid |
ival-sqrt: 2.6s (41.8% of total)ival-add: 2.2s (34.8% of total)ival-sub: 872.0ms (14.1% of total)adjust: 521.0ms (8.4% of total)exact: 21.0ms (0.3% of total)ival-true: 20.0ms (0.3% of total)ival-assert: 11.0ms (0.2% of total)| 1× | egg-herbie |
| 12 672× | lower-fma.f64 |
| 12 672× | lower-fma.f32 |
| 4 402× | lower--.f32 |
| 4 394× | lower--.f64 |
| 4 374× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 454 |
| 1 | 257 | 446 |
| 2 | 1131 | 442 |
| 3 | 5923 | 442 |
| 0 | 24 | 31 |
| 0 | 43 | 31 |
| 1 | 72 | 31 |
| 2 | 186 | 31 |
| 3 | 989 | 31 |
| 4 | 4637 | 31 |
| 5 | 6977 | 31 |
| 0 | 8416 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
(sort x y z t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 237 | 1 | (8.594593317682199e-268 5.209723145734746e-29 1.2525998530861233e-14 52.096067582070724) | 0 | - | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 185 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 88 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 24 | 0 | - | 1 | (24.491777570054335 5.557476081428066e+223 1.3878395247983993e+253 1.4573629083647773e+271) | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 y) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 0 | 0 | - | 0 | - | (+.f64 t #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | cancellation | 47 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | cancellation | 41 | 1 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | cancellation | 23 | 1 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | cancellation | 12 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 54 | 1 |
| - | 37 | 164 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 54 | 1 | 0 |
| - | 37 | 1 | 163 |
| number | freq |
|---|---|
| 0 | 165 |
| 1 | 64 |
| 2 | 23 |
| 3 | 3 |
| 4 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 337.0ms | 468× | 1 | valid |
| 6.0ms | 42× | 0 | valid |
| 1.0ms | 2× | 2 | valid |
Compiled 350 to 100 computations (71.4% saved)
ival-sqrt: 148.0ms (53.9% of total)adjust: 58.0ms (21.1% of total)ival-add: 47.0ms (17.1% of total)ival-sub: 20.0ms (7.3% of total)exact: 1.0ms (0.4% of total)ival-true: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.5% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 35 to 24 computations (31.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 12 672× | lower-fma.f64 |
| 12 672× | lower-fma.f32 |
| 4 402× | lower--.f32 |
| 4 394× | lower--.f64 |
| 4 374× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 138 |
| 0 | 43 | 138 |
| 1 | 72 | 138 |
| 2 | 186 | 138 |
| 3 | 989 | 138 |
| 4 | 4637 | 138 |
| 5 | 6977 | 138 |
| 0 | 8416 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)) (sqrt.f64 z)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 92.3% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 92.0ms | 234× | 1 | valid |
| 3.0ms | 21× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 140 to 26 computations (81.4% saved)
ival-sqrt: 29.0ms (41.2% of total)ival-add: 15.0ms (21.3% of total)adjust: 14.0ms (19.9% of total)ival-sub: 12.0ms (17% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))> |
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))> |
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))> |
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))> |
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))> |
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | y | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | t | @ | -inf | (- (sqrt (+ t 1)) (sqrt t)) |
| 1.0ms | x | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | z | @ | -inf | (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 4 982× | lower-fma.f64 |
| 4 982× | lower-fma.f32 |
| 3 788× | lower-/.f64 |
| 3 788× | lower-/.f32 |
| 3 666× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 0 | 43 | 97 |
| 1 | 208 | 97 |
| 2 | 2164 | 97 |
| 0 | 9211 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 y (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 y (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) |
(/.f64 (fma.f64 y (neg.f64 (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 y (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
| 1× | egg-herbie |
| 7 816× | lower-+.f64 |
| 7 816× | lower-+.f32 |
| 5 582× | lower--.f64 |
| 5 582× | lower--.f32 |
| 4 008× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 4159 |
| 1 | 1736 | 3889 |
| 2 | 6232 | 3889 |
| 0 | 8030 | 3682 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (sqrt.f64 y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64)))) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 t) (sqrt.f64 y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (neg.f64 z)) |
(- 1 (sqrt y)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(* 1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(/.f64 (fma.f64 (sqrt.f64 y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (sqrt.f64 y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64))))) (neg.f64 y)) |
Compiled 33 138 to 2 294 computations (93.1% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 26 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 528 | 26 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 56.2% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 46.1% | (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
| 34.6% | (+.f64 (fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z))) (+.f64 (neg.f64 (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 35.7% | (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (neg.f64 (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 47.0% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 69.5% | (+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (neg.f64 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 31.5% | (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 13.4% | (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 87.6% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 36.7% | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 88.5% | (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 9.0% | (+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 90.2% | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 69.2% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.8% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 90.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 30.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 44.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 90.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 89.8% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 65.6% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 60.8% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.2% | (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 29.1% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| 12.4% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) | |
| 63.4% | (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 1 904 to 1 264 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 #s(literal 1 binary64) z) z) |
| 15 054× | lower-fma.f32 |
| 15 052× | lower-fma.f64 |
| 4 714× | lower-+.f32 |
| 4 666× | lower-+.f64 |
| 3 808× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 672 |
| 0 | 115 | 664 |
| 1 | 242 | 652 |
| 2 | 680 | 636 |
| 3 | 3458 | 636 |
| 4 | 4585 | 636 |
| 5 | 6864 | 636 |
| 0 | 8429 | 636 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) z) z) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 y) |
(sqrt.f64 z) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(sqrt.f64 t) |
t |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 y) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (+.f64 #s(literal 1 binary64) z) z) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 y) |
(sqrt.f64 z) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 t))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(sqrt.f64 t) |
t |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)))) |
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.2% | (-.f64 (+.f64 x #s(literal 1 binary64)) x) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 72.1% | (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
| ✓ | accuracy | 99.9% | (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 35.9% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
| ✓ | accuracy | 92.3% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 34.5% | (-.f64 (+.f64 #s(literal 1 binary64) z) z) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 356.0ms | 234× | 1 | valid |
| 9.0ms | 21× | 0 | valid |
| 2.0ms | 1× | 2 | valid |
Compiled 674 to 63 computations (90.7% saved)
ival-add: 70.0ms (33.4% of total)ival-sqrt: 49.0ms (23.4% of total)adjust: 45.0ms (21.5% of total)ival-sub: 27.0ms (12.9% of total)ival-div: 11.0ms (5.3% of total)ival-mult: 6.0ms (2.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 #s(literal 1 binary64) z) z)> |
#<alt (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))> |
#<alt (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))> |
#<alt (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))> |
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))> |
#<alt (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))> |
#<alt (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))> |
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) x)> |
#<alt (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))> |
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))> |
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))> |
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))> |
#<alt (+.f64 (sqrt.f64 y) (sqrt.f64 z))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) x))> |
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))> |
#<alt (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))> |
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 y))> |
| Outputs |
|---|
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3))))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* -1/8 x))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
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#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))> |
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#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y))> |
#<alt (- (sqrt (+ 1 y)) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y))> |
#<alt (- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))) (sqrt y))> |
#<alt (- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (sqrt (+ 1 x)) (sqrt x))> |
#<alt (- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
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#<alt (- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
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#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z)))> |
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#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) (+ (sqrt y) (sqrt z)))> |
#<alt (+ 1 (sqrt (+ 1 z)))> |
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#<alt (+ 1 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))> |
#<alt (sqrt y)> |
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#<alt (+ 1 (sqrt (+ 1 y)))> |
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#<alt (sqrt z)> |
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#<alt (* -1 (* z (+ (* -1 (/ (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 y))> |
#<alt (+ 1 (* y (+ 1/2 (* -1/8 y))))> |
#<alt (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))> |
#<alt (sqrt y)> |
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#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))> |
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#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
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#<alt (- (+ 1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y))> |
#<alt (- (+ 1 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y))> |
#<alt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))> |
#<alt (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))> |
#<alt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))> |
#<alt (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))> |
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- (sqrt t) 1)> |
#<alt (- (+ (sqrt t) (* -1/2 t)) 1)> |
#<alt (- (+ (sqrt t) (* t (- (* 1/8 t) 1/2))) 1)> |
#<alt (- (+ (sqrt t) (* t (- (* t (+ 1/8 (* -1/16 t))) 1/2))) 1)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (/ (- (* 1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (- (* -1/16 (sqrt (/ 1 (pow t 3)))) (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (- (* 5/128 (sqrt (/ 1 (pow t 5)))) (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (- (* -1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (- (* 5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | (+ (+ (- (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt x) 1)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 5.0ms | y | @ | 0 | (- (sqrt (+ y 1)) (sqrt y)) |
| 2.0ms | x | @ | 0 | (+ (+ (- (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt x) 1)) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 2.0ms | y | @ | 0 | (+ (* 1/2 (sqrt (/ 1 z))) (sqrt (+ 1 y))) |
| 1.0ms | x | @ | 0 | (+ (+ (+ (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1× | batch-egg-rewrite |
| 4 152× | lower-fma.f32 |
| 4 150× | lower-fma.f64 |
| 3 312× | lower-*.f64 |
| 3 312× | lower-*.f32 |
| 2 956× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 397 |
| 0 | 115 | 391 |
| 1 | 686 | 359 |
| 0 | 8054 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(literal 1 binary64) z) z) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (-.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t))) |
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(-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) |
(-.f64 (/.f64 (*.f64 t (sqrt.f64 t)) (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))))) |
(-.f64 (/.f64 t (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (/.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(fma.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))) (-.f64 (*.f64 t (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 t (+.f64 #s(literal 1 binary64) t)))) |
(/.f64 (-.f64 (*.f64 t (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) |
(/.f64 (-.f64 t (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (neg.f64 (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))))) |
(/.f64 (neg.f64 (-.f64 t (+.f64 #s(literal 1 binary64) t))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(/.f64 (fma.f64 t (sqrt.f64 t) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) #s(literal 3 binary64))) (+.f64 t (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (*.f64 (sqrt.f64 t) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) |
(/.f64 (-.f64 t (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) (-.f64 (sqrt.f64 t) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))) |
(*.f64 (-.f64 (*.f64 t (sqrt.f64 t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 t (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t))))) |
(*.f64 (-.f64 t (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 x)) |
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 y)) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 y)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))) (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y))) |
(/.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))) (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y)))) |
(/.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))) (+.f64 y (-.f64 x (sqrt.f64 (*.f64 x y))))) |
(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y)))) (neg.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(/.f64 (-.f64 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(*.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| 1× | egg-herbie |
| 7 330× | lower-fma.f64 |
| 7 330× | lower-fma.f32 |
| 7 242× | lower-+.f64 |
| 7 242× | lower-+.f32 |
| 3 826× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1540 | 16861 |
| 1 | 5354 | 15716 |
| 0 | 8229 | 15003 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3))))))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt y)) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow x 3)))))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))) (sqrt y)) |
(- (+ 1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt y)) |
(- (+ 1 (+ (* 1/2 y) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(- (+ 1 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(- (+ 1 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt y)) |
(/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) |
(+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) |
(+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) |
(+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) |
(/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) |
(+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (sqrt t) 1) |
(- (+ (sqrt t) (* -1/2 t)) 1) |
(- (+ (sqrt t) (* t (- (* 1/8 t) 1/2))) 1) |
(- (+ (sqrt t) (* t (- (* t (+ 1/8 (* -1/16 t))) 1/2))) 1) |
(* -1/2 (sqrt (/ 1 t))) |
(/ (- (* 1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (- (* -1/16 (sqrt (/ 1 (pow t 3)))) (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t)))) t) |
(/ (- (* 5/128 (sqrt (/ 1 (pow t 5)))) (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* 1/2 (sqrt (/ 1 t))) |
(* -1 (/ (- (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (- (* -1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (- (* 5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(+.f64 (sqrt.f64 t) #s(literal -1 binary64)) |
(- (+ (sqrt t) (* -1/2 t)) 1) |
(+.f64 (fma.f64 t #s(literal -1/2 binary64) (sqrt.f64 t)) #s(literal -1 binary64)) |
(- (+ (sqrt t) (* t (- (* 1/8 t) 1/2))) 1) |
(+.f64 (fma.f64 t (fma.f64 t #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (sqrt.f64 t)) #s(literal -1 binary64)) |
(- (+ (sqrt t) (* t (- (* t (+ 1/8 (* -1/16 t))) 1/2))) 1) |
(+.f64 (fma.f64 t (fma.f64 t (fma.f64 t #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 t)) #s(literal -1 binary64)) |
(* -1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(/ (- (* 1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal -1/2 binary64))) t) |
(/ (- (* -1/16 (sqrt (/ 1 (pow t 3)))) (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t)))) t) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) #s(literal -1/16 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) t) |
(/ (- (* 5/128 (sqrt (/ 1 (pow t 5)))) (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) #s(literal 5/128 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) t) |
(* 1/2 (sqrt (/ 1 t))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) |
(* -1 (/ (- (* 1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal -1/2 binary64))) (neg.f64 t)) |
(* -1 (/ (- (* -1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t)))) t)) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (sqrt.f64 t) #s(literal -1/2 binary64)))) (neg.f64 t)) |
(* -1 (/ (- (* 5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(/.f64 (-.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) (neg.f64 t)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 y) x)) (neg.f64 x)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y) (neg.f64 (sqrt.f64 x)))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y) (neg.f64 (sqrt.f64 x)))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y) (neg.f64 (sqrt.f64 x)))) |
Compiled 92 831 to 5 591 computations (94% saved)
38 alts after pruning (38 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 909 | 33 | 1 942 |
| Fresh | 16 | 5 | 21 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 930 | 38 | 1 968 |
| Status | Accuracy | Program |
|---|---|---|
| 31.2% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 33.6% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 38.9% | (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 46.0% | (-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) z (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| ▶ | 28.9% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| 27.3% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 28.6% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 28.8% | (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) | |
| 47.1% | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) | |
| 33.6% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 47.0% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 46.5% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 38.5% | (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 13.4% | (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ▶ | 43.8% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 64.8% | (+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.3% | (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 88.1% | (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 88.8% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 87.8% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 63.2% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 58.9% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 61.9% | (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 35.1% | (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 88.5% | (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 9.0% | (+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 44.3% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 23.4% | (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 63.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 82.6% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 34.8% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) | |
| 64.1% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 3.2% | (+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 49.7% | (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) | |
| 44.7% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) | |
| 54.4% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 1.9% | (neg.f64 (sqrt.f64 x)) |
Compiled 2 278 to 1 566 computations (31.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (neg.f64 (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 8 086× | lower-fma.f32 |
| 8 084× | lower-fma.f64 |
| 5 568× | lower-+.f32 |
| 5 534× | lower-+.f64 |
| 4 068× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 439 |
| 0 | 83 | 439 |
| 1 | 155 | 439 |
| 2 | 402 | 439 |
| 3 | 1746 | 439 |
| 4 | 5082 | 439 |
| 5 | 7743 | 439 |
| 0 | 8063 | 439 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 x) |
x |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (sqrt.f64 y) (+.f64 (-.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (sqrt.f64 t))))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 z)) (+.f64 (sqrt.f64 t) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 x) |
x |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 z) (sqrt.f64 t)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (-.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 y))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
| ✓ | accuracy | 99.9% | (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 36.1% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (neg.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 261.0ms | 234× | 1 | valid |
| 20.0ms | 21× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 441 to 47 computations (89.3% saved)
ival-add: 65.0ms (33.3% of total)ival-sqrt: 55.0ms (28.2% of total)adjust: 29.0ms (14.9% of total)ival-sub: 28.0ms (14.4% of total)ival-div: 12.0ms (6.2% of total)ival-mult: 3.0ms (1.5% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))> |
#<alt (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))> |
#<alt (neg.f64 (sqrt.f64 x))> |
#<alt (sqrt.f64 x)> |
#<alt (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))> |
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))> |
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))> |
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))> |
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))> |
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))> |
#<alt (+.f64 (sqrt.f64 z) (sqrt.f64 y))> |
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))> |
| Outputs |
|---|
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y))))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y))))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y))))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3))))))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (sqrt x))> |
#<alt (- (+ 1 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- 2 (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (* 1/2 y)) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (* y (+ 1/2 (* -1/8 y)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* 1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))> |
#<alt (- 1 (sqrt x))> |
#<alt (- (+ 1 (* -1/2 (sqrt (/ 1 y)))) (sqrt x))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (+ 2 (sqrt (+ 1 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 2 (sqrt (+ 1 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (* -1 (sqrt x))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (- (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))) (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* (sqrt x) (pow (sqrt -1) 2))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ 2 (sqrt (+ 1 z)))> |
#<alt (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 y)))> |
#<alt (+ 2 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))> |
#<alt (+ 2 (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* (/ 1 y) (sqrt (+ 1 z))) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (/ 1 y)))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (/ 1 y))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (sqrt (+ 1 z))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ 2 (sqrt (+ 1 y)))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 z)))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))> |
#<alt (+ 2 (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* (/ 1 z) (sqrt (+ 1 y))) (/ 1 z))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* (/ 1 z) (sqrt (+ 1 y))) (/ 1 z)))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (+ (* (/ 1 z) (sqrt (+ 1 y))) (/ 1 z))))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (sqrt (+ 1 y))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 y))> |
#<alt (+ 2 (* y (+ 1/2 (* -1/8 y))))> |
#<alt (+ 2 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (/ 1 y)))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (/ 1 y)))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (- (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 y)))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) y)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 y))> |
#<alt (+ 1 (* y (+ 1/2 (* -1/8 y))))> |
#<alt (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (- (+ (sqrt (+ 1 t)) (sqrt (+ 1 z))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt t))> |
#<alt (- (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt t))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (/ 1 (+ 1 (sqrt x)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))) (sqrt z))> |
#<alt (- (sqrt (+ 1 z)) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt z) (* 1/8 (sqrt (/ 1 (pow x 3))))))> |
#<alt (- (sqrt (+ 1 z)) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))) (sqrt z))> |
#<alt (- (+ 1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt z))> |
#<alt (- (+ 1 (+ (* 1/2 z) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ 1 (+ (* z (+ 1/2 (* -1/8 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (- (+ 1 (+ (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) (sqrt z))> |
#<alt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))> |
#<alt (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))> |
#<alt (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))> |
#<alt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))> |
#<alt (+ (* -1/2 (sqrt (/ 1 z))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))> |
#<alt (/ 1 (+ 1 (sqrt x)))> |
#<alt (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)> |
#<alt (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)> |
#<alt (* -1/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))> |
#<alt (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))> |
#<alt (+ 1 (sqrt x))> |
#<alt (+ 1 (+ (sqrt x) (* 1/2 x)))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))> |
#<alt (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))> |
#<alt (* 2 (sqrt x))> |
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))> |
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))))) x)> |
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#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 108.0ms | x | @ | inf | (+ (- (- (sqrt (+ 1 y)) (sqrt y)) (- (sqrt x) 1)) (/ 1 (+ (sqrt (+ 1 z)) (sqrt z)))) |
| 5.0ms | z | @ | inf | (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) |
| 1.0ms | x | @ | -inf | (+ (+ (+ (* 1/2 (sqrt (/ 1 x))) (- (sqrt (+ 1 y)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 0.0ms | x | @ | -inf | (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) |
| 0.0ms | z | @ | -inf | (/ 1 (+ (sqrt (+ 1 z)) (sqrt z))) |
| 1× | batch-egg-rewrite |
| 4 966× | lower-fma.f32 |
| 4 964× | lower-fma.f64 |
| 4 056× | lower-*.f64 |
| 4 056× | lower-*.f32 |
| 2 520× | lower-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 277 |
| 0 | 83 | 277 |
| 1 | 443 | 273 |
| 2 | 4889 | 273 |
| 0 | 8133 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (-.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (-.f64 (sqrt.f64 t) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (sqrt.f64 t)) |
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))))) |
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (*.f64 t (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) t)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(fma.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (*.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(fma.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(fma.f64 (sqrt.f64 (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 t t #s(literal 1 binary64)) t)) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
(fma.f64 (sqrt.f64 (fma.f64 t t #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal -1 binary64))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))))) |
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(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (+.f64 (neg.f64 (sqrt.f64 y)) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (-.f64 (neg.f64 (sqrt.f64 y)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
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(/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (+.f64 z (-.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))))) |
(/.f64 (-.f64 z (+.f64 #s(literal 1 binary64) z)) (-.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))) (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (-.f64 (+.f64 #s(literal 1 binary64) z) z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (sqrt.f64 z)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (sqrt.f64 y)) |
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (sqrt.f64 z)) |
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (sqrt.f64 y)) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))) (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 z y))) |
(/.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y)))) |
(/.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (+.f64 y (-.f64 z (sqrt.f64 (*.f64 z y))))) |
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z)))) (neg.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))))) |
(/.f64 (neg.f64 (-.f64 z y)) (neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(/.f64 (-.f64 y z) (-.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(pow.f64 (/.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))) (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 z y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))))) |
(*.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z))) |
(+.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))) (/.f64 (*.f64 z (sqrt.f64 z)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) z) z))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z)))) |
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 z (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (-.f64 (+.f64 #s(literal 1 binary64) z) z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
| 1× | egg-herbie |
| 6 660× | lower-+.f64 |
| 6 660× | lower-+.f32 |
| 6 248× | lower-fma.f64 |
| 6 248× | lower-fma.f32 |
| 4 160× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1204 | 11883 |
| 1 | 4054 | 10957 |
| 0 | 8485 | 10437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 2 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(* -1 (sqrt x)) |
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (* 1/8 (sqrt (/ 1 (pow z 3)))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 t) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* -1/8 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 2 (+ (sqrt (+ 1 y)) (+ (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 t))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 2 (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt x) (sqrt y))) |
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(+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z)))) |
(+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))) |
(+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))) (* 1/8 (sqrt (/ 1 z)))) z) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow z 7))) (* 1/32 (sqrt (pow z 7)))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (sqrt (/ 1 (pow z 3)))) (* 1/8 (sqrt (/ 1 z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6))))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))))) z)) |
(+ 1 (sqrt z)) |
(+ 1 (+ (sqrt z) (* 1/2 z))) |
(+ 1 (+ (sqrt z) (* z (+ 1/2 (* -1/8 z))))) |
(+ 1 (+ (sqrt z) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) |
(* 2 (sqrt z)) |
(* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (sqrt (/ 1 z))))) |
(* z (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (sqrt (/ 1 z)))))) |
(* z (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (sqrt (/ 1 z))))))) |
(* -2 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
| Outputs |
|---|
(- (+ 2 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* 1/2 y) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* y (+ 1/2 (* -1/8 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z)))))) (+ (sqrt t) (sqrt x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1/2 (sqrt (/ 1 y))) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) y))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (sqrt.f64 t) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) x) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) x) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (/ 1 x) (/ 1 (* x (+ (sqrt z) (sqrt (+ 1 z)))))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (* (/ 1 x) (sqrt y)))))) |
(*.f64 x (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) x) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 t) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ (sqrt z) (sqrt (+ 1 z))))))) (+ (sqrt t) (sqrt y))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 t) (sqrt.f64 y))) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (/ 1 (+ 1 (sqrt z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (/ z (pow (+ 1 (sqrt z)) 2))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* z (- (* z (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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2 |
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1 |
#s(literal 1 binary64) |
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(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(+ (* z (- (* z (+ (* -1 (* z (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt z)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))) (+ 1 (sqrt z)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt z)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt z)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt z)) 2))))) (/ 1 (+ 1 (sqrt z)))) |
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(* 1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))) (* 1/8 (sqrt (/ 1 z)))) z) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow z 7))) (* 1/32 (sqrt (pow z 7)))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (sqrt (/ 1 (pow z 3)))) (* 1/8 (sqrt (/ 1 z))))) z) |
(/.f64 (-.f64 (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 z #s(literal 7 binary64))) #s(literal 5/128 binary64)) (neg.f64 (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2))))) z)) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow z 7)) (/ 1 (pow (sqrt -1) 6))))) (pow z 6))) (* 1/2 (sqrt z))) (+ (* -1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))))) z)) |
(neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 z #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 5/128 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) z)) |
(+ 1 (sqrt z)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(+ 1 (+ (sqrt z) (* 1/2 z))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 z))) |
(+ 1 (+ (sqrt z) (* z (+ 1/2 (* -1/8 z))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(+ 1 (+ (sqrt z) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(* 2 (sqrt z)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 z)) |
(* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (sqrt (/ 1 z))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(* z (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (sqrt (/ 1 z)))))) |
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(* z (+ (* -1/8 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 7)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (sqrt (/ 1 z))))))) |
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
(* -2 (* (sqrt z) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 z)) |
(* -1 (* z (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (neg.f64 z)) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
(neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* 2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
(neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))))) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 y) z))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (sqrt.f64 y) z))) (neg.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y) (neg.f64 (sqrt.f64 z)))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y) (neg.f64 (sqrt.f64 z)))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y) (neg.f64 (sqrt.f64 z)))) |
(- 1 (sqrt z)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(-.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* 1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (neg.f64 z)) |
Compiled 63 516 to 4 494 computations (92.9% saved)
40 alts after pruning (38 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 505 | 18 | 1 523 |
| Fresh | 13 | 20 | 33 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 521 | 40 | 1 561 |
| Status | Accuracy | Program |
|---|---|---|
| 31.2% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 33.6% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| ▶ | 28.6% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| 46.0% | (-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) z (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 64.8% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| ✓ | 28.9% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| 23.4% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 28.6% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 23.8% | (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) | |
| 27.3% | (-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) | |
| 40.7% | (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 43.2% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 47.1% | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) | |
| 33.6% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 47.0% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 46.5% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 8.9% | (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.2% | (+.f64 (+.f64 (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 64.8% | (+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.3% | (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 88.1% | (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 77.1% | (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 84.8% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.2% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 87.8% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 58.9% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 88.5% | (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ▶ | 13.8% | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.4% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 82.6% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 64.1% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 3.2% | (+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 56.5% | (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) | |
| 62.9% | (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 64.0% | (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) | |
| 54.4% | (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 13.3% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | 1.9% | (neg.f64 (sqrt.f64 x)) |
Compiled 2 131 to 1 511 computations (29.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 15 054× | lower-fma.f32 |
| 15 050× | lower-fma.f64 |
| 4 626× | lower-+.f32 |
| 4 594× | lower-+.f64 |
| 2 962× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 439 |
| 0 | 85 | 439 |
| 1 | 167 | 439 |
| 2 | 484 | 439 |
| 3 | 2537 | 439 |
| 4 | 4393 | 439 |
| 5 | 5918 | 439 |
| 0 | 8069 | 437 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
x |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
y |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
y |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
x |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(literal 1/2 binary64) |
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
y |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
x |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) y)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) |
y |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(sqrt.f64 x) |
x |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 z) |
(sqrt.f64 y) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) |
y |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 x) |
x |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
#s(literal 1 binary64) |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (sqrt.f64 z))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(literal 1/2 binary64) |
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
y |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) t)) |
(+.f64 t #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) t) |
t |
(sqrt.f64 t) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.4% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 99.9% | (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 99.9% | (+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
| ✓ | accuracy | 58.7% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.4% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | accuracy | 69.1% | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| ✓ | accuracy | 32.9% | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 11.8% | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 383.0ms | 169× | 1 | valid |
| 67.0ms | 66× | 2 | valid |
| 7.0ms | 21× | 0 | valid |
Compiled 441 to 49 computations (88.9% saved)
ival-add: 282.0ms (71.1% of total)ival-sqrt: 38.0ms (9.6% of total)adjust: 35.0ms (8.8% of total)ival-mult: 20.0ms (5% of total)ival-sub: 13.0ms (3.3% of total)ival-div: 7.0ms (1.8% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))> |
#<alt (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))> |
#<alt (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) z))> |
#<alt (+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))> |
#<alt (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))> |
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))> |
#<alt (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))> |
#<alt (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))> |
#<alt (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))> |
#<alt (+.f64 (sqrt.f64 z) (sqrt.f64 y))> |
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 y))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))> |
| Outputs |
|---|
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z)))))))> |
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (sqrt y))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 t))))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (* 1/2 x))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
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#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x)))) (+ (sqrt (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))> |
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt y) (sqrt z))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 x))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 x)))) (+ (sqrt x) (sqrt z)))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1/2 (sqrt (/ 1 z))) (* 1/2 x)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) (* 1/2 x)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 x)))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y)))> |
#<alt (* x (- 1/2 (sqrt (/ 1 x))))> |
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#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 y))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))))> |
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (sqrt (+ 1 y))) (sqrt y)) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (* 1/2 x)) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 2 (+ (* 1/2 x) (* 1/2 y))) (+ (sqrt x) (sqrt y)))> |
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#<alt (- (+ 2 (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y)))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))) (sqrt x))> |
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1/2 (sqrt (/ 1 y))) (* 1/2 x))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) (* 1/2 x))) (sqrt x))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) (* 1/2 x))) (sqrt x))> |
#<alt (- 1 (sqrt x))> |
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#<alt (- (+ 1 (* 1/2 x)) (sqrt x))> |
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#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))> |
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#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))> |
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#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
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#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
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#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
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#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (- (+ 2 (sqrt (+ 1 z))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
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#<alt (- (+ 2 (+ (sqrt (+ 1 z)) (* 1/2 y))) (+ (sqrt x) (+ (sqrt y) (sqrt z))))> |
#<alt (* y (- 1/2 (sqrt (/ 1 y))))> |
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#<alt (* 1/2 y)> |
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#<alt (sqrt z)> |
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#<alt 2> |
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#<alt (+ 2 (* 1/2 y))> |
#<alt (+ 2 (* 1/2 y))> |
#<alt (* 1/2 y)> |
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#<alt (* 1/2 y)> |
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#<alt 1> |
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#<alt (sqrt z)> |
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#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow z 3)))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
#<alt (* y (- 1/2 (sqrt (/ 1 y))))> |
#<alt (* y (- (+ 1/2 (+ (* (/ 1 y) (sqrt (+ 1 t))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (* 2 (/ 1 y))))) (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))))> |
#<alt (* y (- (+ 1/2 (+ (* (/ 1 y) (sqrt (+ 1 t))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (* 2 (/ 1 y))))) (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))))> |
#<alt (* y (- (+ 1/2 (+ (* (/ 1 y) (sqrt (+ 1 t))) (+ (* (/ 1 y) (sqrt (+ 1 z))) (* 2 (/ 1 y))))) (+ (sqrt (/ 1 y)) (+ (* (sqrt t) (/ 1 y)) (+ (* (sqrt x) (/ 1 y)) (* (/ 1 y) (sqrt z)))))))> |
#<alt (* y (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ 2 (+ (sqrt (+ 1 t)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) y)) (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))> |
#<alt (- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z)))))> |
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#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (sqrt z)))> |
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z))> |
#<alt (- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (sqrt (/ 1 y))))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (sqrt (/ 1 y))))) x)> |
#<alt (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (sqrt (/ 1 y))))) x)> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* 1/2 (* (sqrt (/ 1 x)) y))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* 1/2 (* (sqrt (/ 1 x)) y))) y)> |
#<alt (/ (+ (* 1/2 (sqrt y)) (* 1/2 (* (sqrt (/ 1 x)) y))) y)> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))> |
#<alt (* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ (+ (sqrt x) (* x (sqrt (/ 1 y)))) x)> |
#<alt (/ (+ (sqrt x) (* x (sqrt (/ 1 y)))) x)> |
#<alt (/ (+ (sqrt x) (* x (sqrt (/ 1 y)))) x)> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 y))> |
#<alt (/ (+ (sqrt y) (* (sqrt (/ 1 x)) y)) y)> |
#<alt (/ (+ (sqrt y) (* (sqrt (/ 1 x)) y)) y)> |
#<alt (/ (+ (sqrt y) (* (sqrt (/ 1 x)) y)) y)> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))> |
#<alt (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))> |
#<alt (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))> |
#<alt (- 1 (sqrt t))> |
#<alt (- (+ 1 (* 1/2 t)) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t))> |
#<alt (- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t))> |
#<alt (* 1/2 (sqrt (/ 1 t)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t)> |
#<alt (* -1/2 (sqrt (/ 1 t)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t))> |
#<alt (- 1 (sqrt z))> |
#<alt (- (+ 1 (* 1/2 z)) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z))> |
#<alt (- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z))> |
#<alt (* 1/2 (sqrt (/ 1 z)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z)> |
#<alt (* -1/2 (sqrt (/ 1 z)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z))> |
#<alt (- 1 (sqrt y))> |
#<alt (- (+ 1 (* 1/2 y)) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y))> |
#<alt (- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y))> |
#<alt (* 1/2 (sqrt (/ 1 y)))> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y)> |
#<alt (/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y)> |
#<alt (* -1/2 (sqrt (/ 1 y)))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))> |
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (sqrt z)> |
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))> |
#<alt (* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z))))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (+ (sqrt y) (sqrt z))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (+ (sqrt x) (sqrt y))> |
#<alt (sqrt y)> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y))))> |
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (+ (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) |
| 1.0ms | y | @ | -inf | (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | y | @ | inf | (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | x | @ | inf | (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (- (sqrt (+ z 1)) (sqrt z))) |
| 0.0ms | x | @ | 0 | (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (- (sqrt (+ z 1)) (sqrt z))) |
| 1× | batch-egg-rewrite |
| 5 030× | lower-fma.f32 |
| 5 026× | lower-fma.f64 |
| 4 240× | lower-*.f32 |
| 4 236× | lower-*.f64 |
| 2 322× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 279 |
| 0 | 85 | 279 |
| 1 | 460 | 267 |
| 2 | 5066 | 267 |
| 0 | 8199 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) z)) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (neg.f64 (sqrt.f64 t)) (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) (neg.f64 (sqrt.f64 t))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) z) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 z))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))) |
(*.f64 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))))) |
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(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
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(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 z (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) |
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) z) z))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (sqrt.f64 z)))) |
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (-.f64 (+.f64 #s(literal 1 binary64) z) z)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) z))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 y (sqrt.f64 y)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) |
(fma.f64 (sqrt.f64 (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 y)))) (+.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 y)))) |
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) y) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (sqrt.f64 y)) |
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (sqrt.f64 z)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (sqrt.f64 y)) |
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (sqrt.f64 z)) |
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (sqrt.f64 y)) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) |
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))) (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 z y))) |
(/.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y)))) |
(/.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (+.f64 y (-.f64 z (sqrt.f64 (*.f64 z y))))) |
(/.f64 (-.f64 z y) (-.f64 (sqrt.f64 z) (sqrt.f64 y))) |
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z)))) (neg.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))))) |
(/.f64 (neg.f64 (-.f64 z y)) (neg.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(/.f64 (-.f64 y z) (-.f64 (sqrt.f64 y) (sqrt.f64 z))) |
(pow.f64 (/.f64 (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))) (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 z y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (sqrt.f64 y) (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z y) (sqrt.f64 (*.f64 z y))))) |
(*.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 x)) |
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 y (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 y)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 y)) |
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (sqrt.f64 x)) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) |
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))) (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y))) |
(/.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))) (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y)))) |
(/.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))) (+.f64 y (-.f64 x (sqrt.f64 (*.f64 x y))))) |
(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y)))) (neg.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(/.f64 (-.f64 y x) (-.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(pow.f64 (/.f64 (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))) (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (sqrt.f64 x) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y))))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 5 960× | lower-fma.f64 |
| 5 960× | lower-fma.f32 |
| 4 870× | lower-+.f64 |
| 4 870× | lower-+.f32 |
| 4 826× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 11658 |
| 1 | 3145 | 10718 |
| 2 | 7130 | 10515 |
| 0 | 8140 | 9994 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
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(- (+ (sqrt (+ 1 t)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt t)) |
(- (+ 1 (+ (sqrt (+ 1 z)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 t) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (* t (+ 1/2 (* -1/8 t)))))) (+ (sqrt t) (sqrt z))) |
(- (+ 1 (+ (sqrt (+ 1 z)) (+ (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))))) (+ (sqrt t) (sqrt z))) |
(- (+ (sqrt (+ 1 z)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (+ (* 1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1/2 (sqrt (/ 1 t))) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z)) |
(- (+ (sqrt (+ 1 z)) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) (* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (sqrt (/ 1 y))))) x) |
(/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (sqrt (/ 1 y))))) x) |
(/ (+ (* 1/2 (sqrt x)) (* 1/2 (* x (sqrt (/ 1 y))))) x) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* 1/2 (+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* 1/2 (sqrt y)) (* 1/2 (* (sqrt (/ 1 x)) y))) y) |
(/ (+ (* 1/2 (sqrt y)) (* 1/2 (* (sqrt (/ 1 x)) y))) y) |
(/ (+ (* 1/2 (sqrt y)) (* 1/2 (* (sqrt (/ 1 x)) y))) y) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (sqrt (/ 1 y)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(* 1/2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* x (sqrt (/ 1 y)))) x) |
(/ (+ (sqrt x) (* x (sqrt (/ 1 y)))) x) |
(/ (+ (sqrt x) (* x (sqrt (/ 1 y)))) x) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (sqrt (/ 1 y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 y)) |
(/ (+ (sqrt y) (* (sqrt (/ 1 x)) y)) y) |
(/ (+ (sqrt y) (* (sqrt (/ 1 x)) y)) y) |
(/ (+ (sqrt y) (* (sqrt (/ 1 x)) y)) y) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (sqrt (/ 1 y))) |
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(sqrt z) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(+ (sqrt y) (sqrt z)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(+ (sqrt x) (sqrt y)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ 1/2 (+ (* (/ 1 x) (sqrt (+ 1 t))) (+ (* (/ 1 x) (sqrt (+ 1 y))) (+ (* (/ 1 x) (sqrt (+ 1 z))) (/ 1 x))))) (+ (sqrt (/ 1 x)) (+ (* (sqrt t) (/ 1 x)) (+ (* (/ 1 x) (sqrt y)) (* (/ 1 x) (sqrt z))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) x)) (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) x) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 #s(literal 1/2 binary64) (+.f64 x y) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(- (+ 2 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (sqrt.f64 t) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 z)) (+ (* 1/2 x) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(* z (+ (sqrt (/ 1 z)) (+ (* 1/2 (/ y z)) (* 2 (/ 1 z))))) |
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(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 1/2 y)) z)) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
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2 |
#s(literal 2 binary64) |
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(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(+ 2 (* 1/2 y)) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(+ 2 (* 1/2 y)) |
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(* y (+ 1/2 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/8 binary64) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))) y)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) |
(* z (+ (sqrt (/ 1 z)) (* (sqrt y) (/ 1 z)))) |
(fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) |
(* -1 (* z (+ (* -1 (* (sqrt y) (/ 1 z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(-.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(+ (sqrt y) (sqrt z)) |
(+.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* y (+ (sqrt (/ 1 y)) (* (/ 1 y) (sqrt z)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(* -1 (* y (+ (* -1 (* (/ 1 y) (sqrt z))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) |
(* x (+ (sqrt (/ 1 x)) (* (/ 1 x) (sqrt y)))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(+ (sqrt x) (sqrt y)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* y (+ (sqrt (/ 1 y)) (* (sqrt x) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(* -1 (* y (+ (* -1 (* (sqrt x) (/ 1 y))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
Compiled 62 912 to 4 354 computations (93.1% saved)
51 alts after pruning (46 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 591 | 22 | 1 613 |
| Fresh | 9 | 24 | 33 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 602 | 51 | 1 653 |
| Status | Accuracy | Program |
|---|---|---|
| 13.3% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| 20.9% | (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 41.6% | (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 40.5% | (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 23.8% | (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) | |
| 28.7% | (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) | |
| 31.2% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 33.6% | (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 23.8% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) | |
| 28.6% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) | |
| ✓ | 28.6% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| 28.0% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) | |
| 23.2% | (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| 46.0% | (-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) z (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 64.8% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) | |
| ✓ | 28.9% | (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| 27.3% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) | |
| 28.6% | (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) | |
| 43.2% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 47.1% | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) | |
| 27.2% | (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 30.1% | (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 47.0% | (+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 46.5% | (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 8.9% | (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 64.2% | (+.f64 (+.f64 (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 65.0% | (+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) | |
| 35.9% | (+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.3% | (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 88.1% | (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 77.1% | (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.2% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 58.9% | (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 88.5% | (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 64.0% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 29.4% | (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 13.8% | (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 13.8% | (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 63.3% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 82.6% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 64.1% | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 57.0% | (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) | |
| 56.5% | (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) | |
| 62.9% | (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) | |
| 64.0% | (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) | |
| 3.6% | (*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) | |
| 13.3% | (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) | |
| 7.8% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) | |
| 8.1% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 13.3% | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | 1.9% | (neg.f64 (sqrt.f64 x)) |
Compiled 3 729 to 1 296 computations (65.2% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) z (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) z) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) z))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (neg.f64 (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (neg.f64 (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (sqrt.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z))) (+.f64 (neg.f64 (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (sqrt.f64 z)))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) z) z) (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
| Outputs |
|---|
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
11 calls:
| 77.0ms | y |
| 55.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 53.0ms | z |
| 44.0ms | x |
| 37.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | x |
| 98.6% | 2 | y |
| 90.3% | 1 | z |
| 90.3% | 1 | t |
| 98.6% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 98.6% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 98.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 97.9% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.6% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 90.3% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 90.3% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) z (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) z) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
7 calls:
| 25.0ms | y |
| 23.0ms | x |
| 22.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 21.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 20.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | x |
| 97.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 97.5% | 2 | y |
| 97.5% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 97.5% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 97.5% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 97.5% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 113 to 83 computations (26.5% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) t) t) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 y) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
| Outputs |
|---|
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
7 calls:
| 20.0ms | y |
| 20.0ms | x |
| 20.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 20.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 19.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | x |
| 96.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 96.4% | 2 | y |
| 96.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 96.4% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 96.4% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 96.4% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 113 to 83 computations (26.5% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (fma.f64 z #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 y #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
7 calls:
| 35.0ms | y |
| 23.0ms | x |
| 17.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 16.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 16.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | y |
| 96.3% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 96.2% | 2 | x |
| 96.3% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 96.3% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 96.3% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 96.2% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 113 to 83 computations (26.5% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
5 calls:
| 40.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 24.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 17.0ms | y |
| 13.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 13.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | y |
| 97.0% | 3 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 97.7% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 97.7% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 96.9% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 97 to 70 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
4 calls:
| 22.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 13.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 13.0ms | x |
| 11.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | x |
| 76.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 97.5% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 97.5% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 78 to 56 computations (28.2% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 #s(literal 1 binary64) t)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 t) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
2 calls:
| 32.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 11.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 97.5% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
5 calls:
| 13.0ms | y |
| 11.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 10.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 9.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 9.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 90.1% | 3 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 90.1% | 3 | y |
| 97.4% | 4 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 97.4% | 4 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 97 to 70 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
2 calls:
| 58.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 9.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 4 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 97.1% | 4 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
2 calls:
| 28.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 9.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 4 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 97.1% | 4 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
6 calls:
| 10.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 10.0ms | z |
| 9.0ms | t |
| 8.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 7.0ms | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 81.9% | 2 | z |
| 81.9% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 69.4% | 2 | t |
| 90.8% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 90.8% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 94 to 69 computations (26.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y))))) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
2 calls:
| 7.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 7.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 90.8% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
5 calls:
| 41.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 32.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 7.0ms | y |
| 6.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 6.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 89.2% | 3 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 89.2% | 3 | y |
| 89.6% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 89.6% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 97 to 70 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
5 calls:
| 7.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 7.0ms | y |
| 7.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 6.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 6.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 80.3% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 80.3% | 2 | y |
| 88.3% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 88.3% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 97 to 70 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 z #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))) |
2 calls:
| 7.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 6.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 88.3% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))) |
2 calls:
| 4.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 4.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 88.0% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 62 to 43 computations (30.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
(-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) |
3 calls:
| 9.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 4.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 4.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 85.2% | 3 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 85.2% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 81 to 57 computations (29.6% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) |
8 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 3.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 64.0% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 64.0% | 1 | y |
| 64.0% | 1 | z |
| 64.0% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 71.7% | 2 | x |
| 71.7% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 71.7% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 110 to 82 computations (25.5% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) |
11 calls:
| 6.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 41.6% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 41.6% | 1 | z |
| 49.0% | 2 | y |
| 41.6% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 41.6% | 1 | t |
| 49.0% | 2 | x |
| 49.0% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 49.0% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 49.0% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 49.0% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
11 calls:
| 5.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 4.0ms | t |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.0% | 2 | z |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 13.3% | 1 | t |
| 15.2% | 2 | x |
| 15.1% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 15.1% | 2 | y |
| 15.1% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 15.2% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 15.2% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 15.2% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 145 to 109 computations (24.8% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.2% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 15.1% | 2 | x |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
8 calls:
| 20.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.3% | 1 | z |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 13.3% | 1 | y |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 13.3% | 1 | x |
| 13.3% | 1 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 13.3% | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 13.3% | 1 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 118 to 87 computations (26.3% saved)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
11 calls:
| 24.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 6.0ms | x |
| 2.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.3% | 1 | x |
| 13.3% | 1 | z |
| 13.3% | 1 | y |
| 13.3% | 1 | t |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 13.3% | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 13.3% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 13.3% | 1 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 13.3% | 1 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 145 to 109 computations (24.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
(neg.f64 (sqrt.f64 x)) |
11 calls:
| 1.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 1.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.9% | 1 | x |
| 1.9% | 1 | z |
| 1.9% | 1 | y |
| 1.9% | 1 | t |
| 1.9% | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 1.9% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 1.9% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 1.9% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 1.9% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 1.9% | 1 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 1.9% | 1 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
Compiled 145 to 109 computations (24.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.888781066052616e-6 | 0.00010475883664184948 |
Compiled 38 to 32 computations (15.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999904558812 | 0.9999999985698339 |
Compiled 38 to 32 computations (15.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.10002145390759054 | 0.9999827926796364 |
Compiled 38 to 32 computations (15.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999904558812 | 0.9999999985698339 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.999998404184135 | 2.999999673973723 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999949468123326 | 2.999998404184135 |
| 0.0ms | 1.0 | 1.0000000149011612 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999949468123326 | 2.999998404184135 |
| 0.0ms | 1.0 | 1.0000000149011612 |
Compiled 38 to 32 computations (15.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9889620628846343 | 2.9998384651805825 |
| 0.0ms | 2.0000355610263796 | 2.002061734280943 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 32 computations (15.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9889620628846343 | 2.9998384651805825 |
| 0.0ms | 2.0000355610263796 | 2.002061734280943 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 32 computations (15.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9999999650959657 | 2.999999999948656 |
| 0.0ms | 2.0000355610263796 | 2.002061734280943 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000355610263796 | 2.002061734280943 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 31 computations (18.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0000355610263796 | 2.002061734280943 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.000000037252903 |
| 0.0ms | 0.9999999999997737 | 0.9999999999999988 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.000000037252903 |
| 0.0ms | 0.10002145390759054 | 0.9999827926796364 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9999999999999998 | 2.0 |
| 0.0ms | 0.10002145390759054 | 0.9999827926796364 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.000000037252903 |
| 0.0ms | 0.10002145390759054 | 0.9999827926796364 |
Compiled 38 to 32 computations (15.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2707432646064056 | 2.9727973770927307 |
| 0.0ms | 0.10002145390759054 | 0.9999827926796364 |
Compiled 38 to 31 computations (18.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.10002145390759054 | 0.9999827926796364 |
Compiled 38 to 31 computations (18.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000149011612 |
Compiled 38 to 31 computations (18.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.5323871614559285e-117 | 4.010891407256784e-117 |
| 10.0ms | 29× | 1 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 82 to 71 computations (13.4% saved)
adjust: 3.0ms (33% of total)ival-sqrt: 3.0ms (33% of total)ival-add: 2.0ms (22% of total)ival-sub: 1.0ms (11% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999999 | 1.0 |
Compiled 38 to 31 computations (18.4% saved)
| 1× | egg-herbie |
| 178× | unsub-neg_binary64 |
| 142× | +-commutative_binary64 |
| 64× | sub-neg_binary64 |
| 64× | neg-mul-1_binary64 |
| 28× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2013 |
| 1 | 257 | 2013 |
| 2 | 311 | 2013 |
| 3 | 359 | 2013 |
| 4 | 409 | 2013 |
| 5 | 527 | 2013 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 2251799802426249/2251799813685248 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
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(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(if (<=.f64 x #s(literal 5678427533559429/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 9007199254740991/9007199254740992 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 2251799802426249/2251799813685248 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 2251799802426249/2251799813685248 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 2251799802426249/2251799813685248 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (+.f64 (+.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 2251799802426249/2251799813685248 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 9007199254739191/9007199254740992 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3377698594627965/1125899906842624 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 9007199254739191/9007199254740992 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 3377698594627965/1125899906842624 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1688847045514169/562949953421312 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 1 binary64)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 1688847045514169/562949953421312 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 1688847045514169/562949953421312 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))))) (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 1688847045514169/562949953421312 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal 3 binary64)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x))))))) |
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(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 9007199254739191/9007199254740992 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 2254051613498933/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 9007199254739191/9007199254740992 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 9007199254739191/9007199254740992 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 z) (sqrt.f64 y)))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 z)))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 9007199254740991/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (sqrt.f64 x))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 9007199254740991/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x))) (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 (sqrt.f64 y) (sqrt.f64 z))) (sqrt.f64 x))))) |
(if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x))) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 3 binary64)) (+.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) (sqrt.f64 x)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (sqrt.f64 x)))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 y)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 2 binary64)) (+.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(if (<=.f64 x #s(literal 5678427533559429/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(literal 9007199254740991/9007199254740992 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) t)) (sqrt.f64 t)) (+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 z)) (+.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) #s(literal 9007199254740991/9007199254740992 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 x)) |
| 7 816× | lower-+.f64 |
| 7 816× | lower-+.f32 |
| 7 330× | lower-fma.f64 |
| 7 330× | lower-fma.f32 |
| 7 242× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 11658 |
| 1 | 3145 | 10718 |
| 2 | 7130 | 10515 |
| 0 | 8140 | 9994 |
| 0 | 45 | 279 |
| 0 | 85 | 279 |
| 1 | 460 | 267 |
| 2 | 5066 | 267 |
| 0 | 8199 | 265 |
| 0 | 1204 | 11883 |
| 1 | 4054 | 10957 |
| 0 | 8485 | 10437 |
| 0 | 60 | 397 |
| 0 | 115 | 391 |
| 1 | 686 | 359 |
| 0 | 8054 | 359 |
| 0 | 24 | 97 |
| 0 | 43 | 97 |
| 1 | 208 | 97 |
| 2 | 2164 | 97 |
| 0 | 9211 | 97 |
| 0 | 1540 | 16861 |
| 1 | 5354 | 15716 |
| 0 | 8229 | 15003 |
| 0 | 552 | 4159 |
| 1 | 1736 | 3889 |
| 2 | 6232 | 3889 |
| 0 | 8030 | 3682 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 6 169 to 3 077 computations (50.1% saved)
Compiled 4 336 to 500 computations (88.5% saved)
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